1
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Noguchi H, van Wijland F, Fournier JB. Cycling and spiral-wave modes in an active cyclic Potts model. J Chem Phys 2024; 161:025101. [PMID: 38973763 DOI: 10.1063/5.0221050] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2024] [Accepted: 06/24/2024] [Indexed: 07/09/2024] Open
Abstract
We studied the nonequilibrium dynamics of a cycling three-state Potts model using simulations and theory. This model can be tuned from thermal-equilibrium to far-from-equilibrium conditions. At low cycling energy, the homogeneous dominant state cycles via nucleation and growth, while spiral waves are formed at high energy. For large systems, a discontinuous transition occurs from these cyclic homogeneous phases to spiral waves, while the opposite transition is absent. Conversely, these two modes can coexist for small systems. The waves can be reproduced by a continuum theory, and the transition can be understood from the competition between nucleation and growth.
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Affiliation(s)
- Hiroshi Noguchi
- Institute for Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
| | - Frédéric van Wijland
- Laboratoire Matière et Systèmes Complexes (MSC), Université Paris Cité & CNRS, 75013 Paris, France
| | - Jean-Baptiste Fournier
- Laboratoire Matière et Systèmes Complexes (MSC), Université Paris Cité & CNRS, 75013 Paris, France
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2
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Sakaguchi H. Noise-induced excitation wave and its size distribution in coupled FitzHugh-Nagumo equations on a square lattice. Phys Rev E 2024; 109:044211. [PMID: 38755797 DOI: 10.1103/physreve.109.044211] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2024] [Accepted: 03/22/2024] [Indexed: 05/18/2024]
Abstract
There are various research topics such as stochastic resonance, coherent resonance, and neuroavalanche in excitable systems under external noises. We perform numerical simulation of coupled noisy FitzHugh-Nagumo equations on the square lattice. Excitation waves are generated most efficiently at an intermediate noise strength. The cluster size distributions obey a power-law-like distribution at a certain parameter range. However, we consider that this is not a self-organized critical phenomenon, partly because the exponent of the power law is not constant. We have studied the propagation of excitation waves in the coupled noisy FitzHugh-Nagumo equations with a one-dimensional pacemaker region and found that there is a phase-transition-like phenomenon from the short-range propagation to the whole-system propagation by changing the noise strength T. The power-law distribution is observed most clearly near the phase transition of the propagation of excitation waves in the coupled noisy FitzHugh-Nagumo equations without the one-dimensional pacemaker.
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Affiliation(s)
- Hidetsugu Sakaguchi
- Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga, Fukuoka 816-8580, Japan
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3
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Tang A, Wang J. Drastic effects of an inert Pt wire on the redox behavior of the Belousov-Zhabotinsky reaction. CHAOS (WOODBURY, N.Y.) 2022; 32:073111. [PMID: 35907722 DOI: 10.1063/5.0095531] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/11/2022] [Accepted: 06/20/2022] [Indexed: 06/15/2023]
Abstract
This research investigated responses of the Belousov-Zhabotinsky (BZ) reaction to the presence of a chemically inert Pt wire in solution. Experiments showed that connecting the Pt wire to a neutral ground caused a spontaneous drastic shift in the redox potential and might even induce complex behavior. Characterizations using an unstirred ferriin solution demonstrated the formation of a red colored propagating front at the grounded Pt wire, suggesting the reduction of ferriin to ferroin. Measurements with different combinations of electrodes in both stirred and reaction-diffusion media further confirmed the reduction of BZ metal catalysts at the Pt wire and the accompanying oxidation reaction at the reference electrode. The observed drastic change in redox potential and oscillation waveform can be understood based on the passive reduction reaction at the indicator electrode that is connected to the reference electrode through a potential meter. The obtained influence can be further manipulated by adding a resistor between the Pt wire and the neutral ground, making this convenient perturbation method attractive for the study of redox chemical reaction dynamics.
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Affiliation(s)
- Alexander Tang
- Department of Chemistry and Biochemistry, University of Windsor, Windsor, Ontario N9B 3P4, Canada
| | - Jichang Wang
- Department of Chemistry and Biochemistry, University of Windsor, Windsor, Ontario N9B 3P4, Canada
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4
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Light and chemical oscillations: Review and perspectives. JOURNAL OF PHOTOCHEMISTRY AND PHOTOBIOLOGY C-PHOTOCHEMISTRY REVIEWS 2020. [DOI: 10.1016/j.jphotochemrev.2019.100321] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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5
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Klinshov V, Franović I. Two scenarios for the onset and suppression of collective oscillations in heterogeneous populations of active rotators. Phys Rev E 2020; 100:062211. [PMID: 31962480 DOI: 10.1103/physreve.100.062211] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/28/2019] [Indexed: 11/07/2022]
Abstract
We consider the macroscopic regimes and the scenarios for the onset and the suppression of collective oscillations in a heterogeneous population of active rotators composed of excitable or oscillatory elements. We analyze the system in the continuum limit within the framework of Ott-Antonsen reduction method, determining the states with a constant mean field and their stability boundaries in terms of the characteristics of the rotators' frequency distribution. The system is established to display three macroscopic regimes, namely the homogeneous stationary state, where all the units lie at the resting state, the global oscillatory state, characterized by the partially synchronized local oscillations, and the heterogeneous stationary state, which includes a mixture of resting and asynchronously oscillating units. The transitions between the characteristic domains are found to involve a complex bifurcation structure, organized around three codimension-two bifurcation points: a Bogdanov-Takens point, a cusp point, and a fold-homoclinic point. Apart from the monostable domains, our study also reveals two domains admitting bistable behavior, manifested as coexistence between the two stationary solutions or between a stationary and a periodic solution. It is shown that the collective mode may emerge via two generic scenarios, guided by a saddle-node of infinite period or the Hopf bifurcation, such that the transition from the homogeneous to the heterogeneous stationary state under increasing diversity may follow the classical paradigm, but may also be hysteretic. We demonstrate that the basic bifurcation structure holds qualitatively in the presence of small noise or small coupling delay, with the boundaries of the characteristic domains shifted compared to the noiseless and the delay-free case.
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Affiliation(s)
- Vladimir Klinshov
- Institute of Applied Physics of the Russian Academy of Sciences, 46 Ulyanov Street, 603950 Nizhny Novgorod, Russia
| | - Igor Franović
- Scientific Computing Laboratory, Center for the Study of Complex Systems, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia
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6
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Steinbock O, Wackerbauer R, Horváth D. Nonlinear Chemical Dynamics and Its Interdisciplinary Impact: Dedicated to Ken Showalter on the Occasion of his 70th Birthday. CHAOS (WOODBURY, N.Y.) 2019; 29:080401. [PMID: 31472519 DOI: 10.1063/1.5120508] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/18/2019] [Accepted: 07/18/2019] [Indexed: 05/22/2023]
Affiliation(s)
- Oliver Steinbock
- Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, USA
| | - Renate Wackerbauer
- Department of Physics, University of Alaska, Fairbanks, Alaska 99775-5920, USA
| | - Dezső Horváth
- Department of Applied and Environmental Chemistry, University of Szeged, Rerrich Béla tér 1, Szeged H-6720, Hungary
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7
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Toth R, Taylor AF. The Tris(2,2'-Bipyridyl)Ruthenium-Catalysed Belousov–Zhabotinsky Reaction. PROGRESS IN REACTION KINETICS AND MECHANISM 2019. [DOI: 10.3184/007967406779946928] [Citation(s) in RCA: 36] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
The Belousov – Zhabotinsky (BZ) reaction is the prototypical oscillating chemical reaction. The tris(2,2'-bipyridine)ruthenium-catalysed BZ reaction (often simply referred to as the ruthenium-catalysed BZ reaction) displays photosensitivity and has been widely exploited for examination of the effects of illumination on nonlinear reaction kinetics. In this review, we investigate the behaviour of the ruthenium-catalysed BZ reaction. The mechanism of the reaction is analysed and we examine how light sensitivity is incorporated into kinetic models of the reaction. The temporal dynamics of the photosensitive reaction is presented and, finally, we discuss the extraordinary wealth of behaviour that has been observed in the spatially-distributed system when perturbed by visible light.
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Affiliation(s)
- Rita Toth
- University of the West of England, Bristol, UK
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8
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Tang A, Green JR, Wang J. Long-Lasting Complex Reaction Behavior in a Closed Ferroin-Bromate-Hydroxybenzenesulfonate System. J Phys Chem A 2018; 122:8301-8307. [PMID: 30289717 DOI: 10.1021/acs.jpca.8b07766] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The bromate-phenolsulfonate reaction was found to exhibit spontaneous oscillations in a batch reactor, where the addition of small amounts of ferroin would result in nonoscillatory behavior. As the ferroin concentration was increased, the system produced very rich nonlinear behavior, including three isolated oscillatory regimes that were separated by as long as 48 h nonoscillatory period. The long-lasting nonlinear behavior may be attributed to the slow desulfonation of phenolsulfonate in an acidic solution, forming phenol-like intermediates. However, unlike the bromate-phenol oscillator, oxygen was found to greatly influence the reaction, and various complex oscillations could be observed by tuning the oxygen concentration. Mechanistic studies performed through employing 1H NMR spectroscopy and mass spectrometry to measure intermediate species at different stages of the reaction were able to identify 1,4-benzoquinone, 2-bromo-1,4-benzoquinone, 2,6-dibromo-1,4-benzoquinone, and 2,4,6-tribromophenol as major components during the reaction.
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Affiliation(s)
- Alexander Tang
- Department of Chemistry and Biochemistry , University of Windsor , Windsor , ON N9B 3P4 , Canada
| | - James R Green
- Department of Chemistry and Biochemistry , University of Windsor , Windsor , ON N9B 3P4 , Canada
| | - Jichang Wang
- Department of Chemistry and Biochemistry , University of Windsor , Windsor , ON N9B 3P4 , Canada
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9
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Srivastava R, Dueñas-Díez M, Pérez-Mercader J. Feed rate noise modulates autocatalysis and shapes the oscillations of the Belousov–Zhabotinsky reaction in a continuous stirred tank reactor. REACT CHEM ENG 2018. [DOI: 10.1039/c7re00196g] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Noise applied to a specific reactant feed rate directs the Belousov–Zhabotinsky reaction into specific pathways and results in noise-controlled oscillation shapes and features.
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Affiliation(s)
- Rohit Srivastava
- Department of Earth and Planetary Sciences and Origins of Life Initiative
- Harvard University
- Cambridge
- USA
| | - Marta Dueñas-Díez
- Department of Earth and Planetary Sciences and Origins of Life Initiative
- Harvard University
- Cambridge
- USA
- Repsol Technology Centre
| | - Juan Pérez-Mercader
- Department of Earth and Planetary Sciences and Origins of Life Initiative
- Harvard University
- Cambridge
- USA
- Santa Fe Institute
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10
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Voorsluijs V, Kevrekidis IG, De Decker Y. Nonlinear behavior and fluctuation-induced dynamics in the photosensitive Belousov-Zhabotinsky reaction. Phys Chem Chem Phys 2017; 19:22528-22537. [PMID: 28809962 DOI: 10.1039/c7cp03260a] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Abstract
The photosensitive Belousov-Zhabotinsky (pBZ) reaction has been used extensively to study the properties of chemical oscillators. In particular, recent experiments revealed the existence of complex spatiotemporal dynamics for systems consisting of coupled micelles (V < 10-21 L) or droplets (V ≈ [10-8-10-11] L) in which the pBZ reaction takes place. These results have been mostly understood in terms of reaction-diffusion models. However, in view of the small size of the droplets and micelles, large fluctuations of concentrations are to be expected. In this work, we investigate the role of fluctuations on the dynamics of a single droplet with stochastic simulations of an extension of the Field-Körös-Noyes (FKN) model taking into account the photosensitivity. The birhythmicity and chaotic behaviors predicted by the FKN model in the absence of fluctuations become transient or intermittent regimes whose lifetime decreases with the size of the droplet. Simple oscillations are more robust and can be observed even in small systems (V > 10-12 L), which justifies the use of deterministic models in microfluidic systems of coupled oscillators. The simulations also reveal that fluctuations strongly affect the efficiency of inhibition by light, which is often used to control the kinetics of these systems: oscillations are found for parameter values for which they are supposed to be quenched according to deterministic predictions.
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Affiliation(s)
- Valérie Voorsluijs
- Center for Nonlinear Phenomena and Complex Systems (CENOLI), Université libre de Bruxelles (ULB), Campus Plaine, C.P. 231, B-1050 Brussels, Belgium.
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11
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Kobayashi Y, Kitahata H, Nagayama M. Sustained dynamics of a weakly excitable system with nonlocal interactions. Phys Rev E 2017; 96:022213. [PMID: 28950600 DOI: 10.1103/physreve.96.022213] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/04/2017] [Indexed: 06/07/2023]
Abstract
We investigate a two-dimensional spatially extended system that has a weak sense of excitability, where an excitation wave has a uniform profile and propagates only within a finite range. Using a cellular automaton model of such a weakly excitable system, we show that three kinds of sustained dynamics emerge when nonlocal spatial interactions are provided, where a chain of local wave propagation and nonlocal activation forms an elementary oscillatory cycle. Transition between different oscillation regimes can be understood as different ways of interactions among these cycles. Analytical expressions are given for the oscillation probability near the onset of oscillations.
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Affiliation(s)
- Yasuaki Kobayashi
- Center for Simulation Sciences, Ochanomizu University, Tokyo 112-8620, Japan
| | | | - Masaharu Nagayama
- Research Institute for Electronic Science, Hokkaido University, Sapporo 060-0812, Japan
- JST CREST, Saitama 332-0012, Japan
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12
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Paul S, Ghosh S, Ray DS. Noisy-flow-induced instability in a reaction-diffusion system. Phys Rev E 2017; 94:062217. [PMID: 28085378 DOI: 10.1103/physreve.94.062217] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2016] [Indexed: 11/07/2022]
Abstract
We consider a generic reaction-diffusion-advection system where the flow velocity of the advection term is subjected to dichotomous noise with zero mean and Ornstein-Zernike correlation. A general condition for noisy-flow-induced instability is derived in the flow velocity-correlation rate parameter plane. Full numerical simulations on Gierer-Meinhardt model with activator-inhibitor kinetics have been performed to show how noisy differential flow can lead to symmetry breaking of a homogeneous stable state in the presence of noise resulting in traveling waves.
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Affiliation(s)
- Shibashis Paul
- Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700032, India
| | - Shyamolina Ghosh
- Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700032, India
| | - Deb Shankar Ray
- Indian Association for the Cultivation of Science, Jadavpur, Kolkata-700032, India
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13
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Franović I, Todorović K, Perc M, Vasović N, Burić N. Activation process in excitable systems with multiple noise sources: One and two interacting units. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 92:062911. [PMID: 26764778 DOI: 10.1103/physreve.92.062911] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/19/2014] [Indexed: 06/05/2023]
Abstract
We consider the coaction of two distinct noise sources on the activation process of a single excitable unit and two interacting excitable units, which are mathematically described by the Fitzhugh-Nagumo equations. We determine the most probable activation paths around which the corresponding stochastic trajectories are clustered. The key point lies in introducing appropriate boundary conditions that are relevant for a class II excitable unit, which can be immediately generalized also to scenarios involving two coupled units. We analyze the effects of the two noise sources on the statistical features of the activation process, in particular demonstrating how these are modified due to the linear or nonlinear form of interactions. Universal properties of the activation process are qualitatively discussed in the light of a stochastic bifurcation that underlies the transition from a stochastically stable fixed point to continuous oscillations.
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Affiliation(s)
- Igor Franović
- Scientific Computing Laboratory, Institute of Physics, University of Belgrade, P. O. Box 68, 11080 Beograd-Zemun, Serbia
| | - Kristina Todorović
- Department of Physics and Mathematics, Faculty of Pharmacy, University of Belgrade, Vojvode Stepe 450, Belgrade, Serbia
| | - Matjaž Perc
- Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška Cesta 160, SI-2000 Maribor, Slovenia
- Department of Physics, Faculty of Sciences, King Abdulaziz University, Jeddah, Saudi Arabia
| | - Nebojša Vasović
- Department of Applied Mathematics, Faculty of Mining and Geology, University of Belgrade, P. O. Box 162, Belgrade, Serbia
| | - Nikola Burić
- Scientific Computing Laboratory, Institute of Physics, University of Beograd, P. O. Box 68, 11080 Beograd-Zemun, Serbia
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14
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A time series retrieval tool for sub-series matching. APPL INTELL 2015. [DOI: 10.1007/s10489-014-0628-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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15
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Ren L, Fan B, Gao Q, Zhao Y, Luo H, Xia Y, Lu X, Epstein IR. Experimental, numerical, and mechanistic analysis of the nonmonotonic relationship between oscillatory frequency and photointensity for the photosensitive Belousov-Zhabotinsky oscillator. CHAOS (WOODBURY, N.Y.) 2015; 25:064607. [PMID: 26117132 DOI: 10.1063/1.4921693] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
The oscillation frequency of a nonlinear reaction system acts as a key factor for interaction and superposition of spatiotemporal patterns. To control and design spatiotemporal patterns in oscillatory media, it is important to establish the dominant frequency-related mechanism and the effects of external forces and species concentrations on oscillatory frequency. In the Ru(bipy)3(2+)-catalyzed Belousov-Zhabotinsky oscillator, a nonmonotonic relationship exists between light intensity and oscillatory frequency (I-F relationship), which is composed of fast photopromotion and slow photoinhibition regions in the oscillation frequency curve. In this work, we identify the essential mechanistic step of the I-F relationship: the previously proposed photoreaction Ru(II)* + Ru(II) + BrO3(-) + 3H(+) → HBrO2 + 2Ru(III) + H2O, which has both effects of frequency-shortening and frequency-lengthening. The concentrations of species can shift the light intensity that produces the maximum frequency, which we simulate and explain with a mechanistic model. This result will benefit studies of pattern formation and biomimetic movement of oscillating polymer gels.
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Affiliation(s)
- Lin Ren
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Bowen Fan
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Qingyu Gao
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Yuemin Zhao
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Hainan Luo
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Yahui Xia
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Xingjie Lu
- College of Chemical Engineering, China University of Mining and Technology, Xuzhou 221008, China
| | - Irving R Epstein
- Department of Chemistry and Volen Center for Complex Systems, MS 015, Brandeis University, Waltham, Massachusetts 02454-9110, USA
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16
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Nakata S, Suzuki S, Ezaki T, Kitahata H, Nishi K, Nishiura Y. Response of a chemical wave to local pulse irradiation in the ruthenium-catalyzed Belousov-Zhabotinsky reaction. Phys Chem Chem Phys 2015; 17:9148-52. [PMID: 25757627 DOI: 10.1039/c5cp00897b] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The photo-sensitive Belousov-Zhabotinsky (BZ) reaction system was investigated to understand the response of wave propagation to local pulse stimulation in an excitable field. When the chemical wave was irradiated with a bright pulse or a dark pulse, the speed of wave propagation decreased or increased. The timing of pulse irradiation that significantly affected the speed of chemical wave propagation was different with the bright and dark pulses. That is, there is a sensitive point in the chemical wave. The experimental results were qualitatively reproduced by a numerical calculation based on a three-variable Oregonator model that was modified for the photosensitive BZ reaction. These results suggest that the chemical wave is sensitive to the timing of pulse irradiation due to the rates of production of an activator and an inhibitor in the photochemical reaction.
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Affiliation(s)
- Satoshi Nakata
- Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan.
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17
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Taylor AF, Tinsley MR, Showalter K. Insights into collective cell behaviour from populations of coupled chemical oscillators. Phys Chem Chem Phys 2015. [PMID: 26195263 DOI: 10.1039/c5cp01964h] [Citation(s) in RCA: 39] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023]
Abstract
Biological systems such as yeast show coordinated activity driven by chemical communication between cells. Experiments with coupled chemical oscillators can provide insights into the collective behaviour.
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Affiliation(s)
- Annette F. Taylor
- Chemical and Biological Engineering
- University of Sheffield
- Sheffield
- UK
| | - Mark R. Tinsley
- C. Eugene Bennett Department of Chemistry
- West Virginia University
- Morgantown
- USA
| | - Kenneth Showalter
- C. Eugene Bennett Department of Chemistry
- West Virginia University
- Morgantown
- USA
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18
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Liu F, Li Y, Sun X. Effect of internal noise on the oscillation of N2O decomposition over Cu-ZSM-5 zeolites using a stochastic description. J Chem Phys 2014; 140:044715. [PMID: 25669575 DOI: 10.1063/1.4862545] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
When considering stochastic oscillations of heterogeneous catalyst systems, most researches have focused on the surface of a metal or its oxide catalysts, but there have been few studies on porous catalysts. In this work, the effects of internal noise on oscillations of N2O decomposition over Cu-ZSM-5 zeolites are investigated, using the chemical Langevin equation and a mesoscopic stochastic model. Considering that Cu-ZSM-5 particles are finely divided particles, the number of Cu ions (Ns) is proportional to the particle size at a certain Cu/Al, and the internal noise is inversely proportional to Ns. Stochastic oscillations can be observed outside the deterministic oscillatory region. Furthermore, the performance of the oscillation characterized by the signal-to-noise ratio has a maximum within the optimal size range of 4-8 nm. This suggests that a nanometer-sized zeolite may be best for oscillations.
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Affiliation(s)
- Fuliang Liu
- State Key Laboratory of Chemical Resource Engineering, Beijing University of Chemical Technology, Beijing 100029, China
| | - Yaping Li
- State Key Laboratory of Chemical Resource Engineering, Beijing University of Chemical Technology, Beijing 100029, China
| | - Xiaoming Sun
- State Key Laboratory of Chemical Resource Engineering, Beijing University of Chemical Technology, Beijing 100029, China
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19
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Simakov DSA, Pérez-Mercader J. Effect of Noise Correlation on Noise-Induced Oscillation Frequency in the Photosensitive Belousov–Zhabotinsky Reaction in a Continuous Stirred Tank Reactor. J Phys Chem A 2013; 117:13999-4005. [DOI: 10.1021/jp409033j] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/05/2023]
Affiliation(s)
- David S. A. Simakov
- Department
of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138, United States
| | - Juan Pérez-Mercader
- Department
of Earth and Planetary Sciences, Harvard University, Cambridge, Massachusetts 02138, United States
- Santa Fe Institute, Santa Fe, New Mexico 87501, United States
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20
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Nakata S, Ezaki T, Ikura YS, Kitahata H. Chemical Wave Propagation Preserved on an Inhibitory Field in the Ruthenium-Catalyzed Belousov–Zhabotinsky Reaction. J Phys Chem A 2013; 117:10615-8. [DOI: 10.1021/jp408080y] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Satoshi Nakata
- Graduate
School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan
| | - Takato Ezaki
- Graduate
School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan
| | - Yumihiko S. Ikura
- Graduate
School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan
| | - Hiroyuki Kitahata
- Department
of Physics, Graduate School of Science, Chiba University, 1-33, Yayoi-cho, Inage-ku, Chiba 263-8522, Japan
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21
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Liu F, Li Y, Sun X. The isothermal oscillations and fluctuation-driven oscillations of N2O decomposition over Cu-ZSM-5 zeolites. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2013.08.074] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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22
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Noise-induced spatiotemporal patterns in Hodgkin-Huxley neuronal network. Cogn Neurodyn 2013; 7:431-40. [PMID: 24427217 DOI: 10.1007/s11571-013-9245-1] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/20/2012] [Revised: 01/21/2013] [Accepted: 01/23/2013] [Indexed: 10/27/2022] Open
Abstract
The effect of noise on the pattern selection in a regular network of Hodgkin-Huxley neurons is investigated, and the transition of pattern in the network is measured from subexcitable to excitable media. Extensive numerical results confirm that kinds of travelling wave such as spiral wave, circle wave and target wave could be developed and kept alive in the subexcitable network due to the noise. In the case of excitable media under noise, the developed spiral wave and target wave could coexist and new target-like wave is induced near to the border of media. The averaged membrane potentials over all neurons in the network are calculated to detect the periodicity of the time series and the generated traveling wave. Furthermore, the firing probabilities of neurons in networks are also calculated to analyze the collective behavior of networks.
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Lu X, Ren L, Gao Q, Zhao Y, Wang S, Yang J, Epstein IR. Photophobic and phototropic movement of a self-oscillating gel. Chem Commun (Camb) 2013; 49:7690-2. [DOI: 10.1039/c3cc44480e] [Citation(s) in RCA: 45] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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24
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Shah IA, Peerzada GM, Ganaie NB, Dar NA. A Kinetic Study on Catechol-Based Belousov-Zhabotinsky Reaction. INT J CHEM KINET 2012. [DOI: 10.1002/kin.20750] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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25
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Integration of cellular signals in chattering environments. PROGRESS IN BIOPHYSICS AND MOLECULAR BIOLOGY 2012; 110:106-12. [DOI: 10.1016/j.pbiomolbio.2012.05.003] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/18/2011] [Revised: 05/04/2012] [Accepted: 05/05/2012] [Indexed: 01/11/2023]
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26
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Esfahani RK, Shahbazi F, Samani KA. Noise-induced synchronization in small world networks of phase oscillators. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:036204. [PMID: 23030994 DOI: 10.1103/physreve.86.036204] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/20/2011] [Indexed: 06/01/2023]
Abstract
A small-world (SW) network of similar phase oscillators, interacting according to the Kuramoto model, is studied numerically. It is shown that deterministic Kuramoto dynamics on SW networks has various stable stationary states. This can be attributed to the so-called defect patterns in an SW network, which it inherits from deformation of helical patterns in its regular parent. Turning on an uncorrelated random force causes vanishing of the defect patterns, hence increasing the synchronization among oscillators for moderate noise intensities. This phenomenon, called stochastic synchronization, is generally observed in some natural networks such as the brain neural network.
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Cai MC, Pan JT, Zhang H. Electric-field-sustained spiral waves in subexcitable media. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2012; 86:016208. [PMID: 23005508 DOI: 10.1103/physreve.86.016208] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/20/2011] [Revised: 04/05/2012] [Indexed: 06/01/2023]
Abstract
We present numerical evidence that, in the presence of a suitable electric field, an isolated broken plane wave retracting originally in subexcitable media can propagate continuously and eventually evolve into a rotating spiral. Simulations for the FitzHugh-Nagumo, the Barkley, and the Oregonator models are carried out and the same electric-field-sustained spiral phenomena are observed. Semianalytical results in the framework of a kinematic theory are quantitatively consistent with the numerical results.
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Affiliation(s)
- Mei-chun Cai
- Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China
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28
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Li J, Wang J. Subtle Photochemical Behavior in Ferroin–Bromate–Benzoquinone Reaction. J Phys Chem A 2011; 116:386-90. [DOI: 10.1021/jp2108957] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Jun Li
- Department of Chemistry and Biochemistry, University of Windsor, Windsor, ON N9B 3P4, Canada
| | - Jichang Wang
- Department of Chemistry and Biochemistry, University of Windsor, Windsor, ON N9B 3P4, Canada
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29
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Two staged pattern formation and spontaneous wave breakup in the ferroin-bromate-pyrocatechol reaction. OPEN CHEM 2011. [DOI: 10.2478/s11532-011-0018-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
AbstractThis report investigated nonlinear spatiotemporal behavior in the ferroin-bromate-pyrocatechol reaction, in which two stages of wave formation, separated by several hours of quiescent period, were observed. In addition to its great photosensitivity, the second stage wave activity could undergo spontaneous breakups at broad reaction conditions. Analysis based on one-dimensional space-time plot suggests that the breakup was caused by propagation slowdown of the leading wave. Due to the presence of coupled autocatalytic reactions, the propagation of the initial and the second stage waves exhibited different and subtle responses to the variation of the concentration of each reagent.
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30
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Amemiya T, Wang J. A Chemical Oscillator Based on the Photoreduction of 2-Methyl-1,4-benzoquinone. J Phys Chem A 2010; 114:13347-52. [DOI: 10.1021/jp108186q] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Takashi Amemiya
- Graduate School of Environment and Information Sciences, Yokohama National University, Yokohama, 240-8501, Japan, and Department of Chemistry and Biochemistry, University of Windsor, Windsor, ON N9B 3P4, Canada
| | - Jichang Wang
- Graduate School of Environment and Information Sciences, Yokohama National University, Yokohama, 240-8501, Japan, and Department of Chemistry and Biochemistry, University of Windsor, Windsor, ON N9B 3P4, Canada
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31
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Aihara T, Kitajo K, Nozaki D, Yamamoto Y. How does stochastic resonance work within the human brain? – Psychophysics of internal and external noise. Chem Phys 2010. [DOI: 10.1016/j.chemphys.2010.04.027] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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32
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Kim BS, Jo EA, Basavaraja C, Huh DS. Propagating Spiral Waves Obtained in a Catalyst-Immobilized Gel Membrane by the Belousov-Zhabotinsky Reaction System. B KOREAN CHEM SOC 2010. [DOI: 10.5012/bkcs.2010.31.7.1956] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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33
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Yao C, Zhan M. Signal transmission by vibrational resonance in one-way coupled bistable systems. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:061129. [PMID: 20866400 DOI: 10.1103/physreve.81.061129] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/08/2010] [Revised: 05/27/2010] [Indexed: 05/29/2023]
Abstract
Low-frequency signal transmission in one-way coupled bistable systems subject to a high-frequency force is studied. Two cases including the high-frequency force on all sites (case 1) and only on the first site (case 2) are considered. In these two cases, vibrational resonance induced by the high-frequency force can play an active role to effectively improve the signal transmission, and undamped signal transmission can be found in a broad parameter region. The combinative action of injected low-frequency signal, high-frequency driving, and coupling is of importance. Our findings suggest that high-frequency signal could be properly used in low-frequency signal transmission, and especially the implementation of high-frequency force simply on the first site for case 2 is meaningful for its simplicity and high efficiency.
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Affiliation(s)
- Chenggui Yao
- Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Whang 430071, China
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34
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Gosak M, Korosak D, Marhl M. Optimal network configuration for maximal coherence resonance in excitable systems. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:056104. [PMID: 20866294 DOI: 10.1103/physreve.81.056104] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/02/2009] [Revised: 02/22/2010] [Indexed: 05/29/2023]
Abstract
We analyze the coherence resonance phenomenon in an ensemble of noise-driven excitable neurons giving special attention to the role of the interaction topology. The neural architecture is modeled using a spatially embedded network in which we can tune the network organization between scale-free-like with dominating long-range connections and a network with mostly adjacent neurons connected. We found that besides an optimal noise intensity, also an optimal network configuration exists at which the largest average coherence of noise-induced spikes is achieved. Furthermore, we show that long- as well as short-range interactions between neurons should exist in order to achieve the optimal response of the neuronal network.
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Affiliation(s)
- Marko Gosak
- Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Koroska cesta 160, SI-2000 Maribor, Slovenia.
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35
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Kolbus A, Lemarchand A, Kawczyński AL, Nowakowski B. Coherence resonances in an excitable thermochemical system with multiple stationary states. Phys Chem Chem Phys 2010; 12:13224-31. [DOI: 10.1039/c0cp00468e] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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36
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Yamaguchi T. ELECTROCHEMISTRY 2010; 78:764-769. [DOI: 10.5796/electrochemistry.78.764] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022] Open
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37
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Kitahata H, Fujio K, Gorecki J, Nakata S, Igarashi Y, Gorecka A, Yoshikawa K. Oscillation in Penetration Distance in a Train of Chemical Pulses Propagating in an Optically Constrained Narrowing Channel. J Phys Chem A 2009; 113:10405-9. [DOI: 10.1021/jp903686k] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Hiroyuki Kitahata
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Kenji Fujio
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Jerzy Gorecki
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Satoshi Nakata
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Yasuhiro Igarashi
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Agnieszka Gorecka
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
| | - Kenichi Yoshikawa
- Department of Physics, Graduate School of Science, Chiba University, Chiba 263-8522, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, Warsaw 01-224, Poland, Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan, Institute of Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, Warsaw 02-668, Poland, and Department of Physics,
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38
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Alonso S, Sagués F. Noise-reversed stability of Turing patterns versus Hopf oscillations near codimension-two conditions. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 80:035203. [PMID: 19905167 DOI: 10.1103/physreve.80.035203] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/24/2009] [Indexed: 05/28/2023]
Abstract
Pattern formation induced by noise is a celebrated phenomenon in diverse reaction-diffusion systems. Here we report numerical simulations with the Lengyel-Epstein model for the chlorine dioxide-iodine-malonic acid reaction when perturbed with an external spatiotemporal stochastic forcing in the vicinity of the Hopf and Turing codimension-two bifurcation. Competition between Turing and Hopf modes gives rise to the generation of transient Turing patterns evolving to stationary global oscillations. This situation is reversed by the introduction of external fluctuations and Turing patterns become dominant in this case. The increase in the spatial coherence is found for intermediate noise intensity and small correlation length.
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Affiliation(s)
- Sergio Alonso
- Physikalisch-Technische Bundesanstalt, Abberstrasse 2-12, 10587 Berlin, Germany
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39
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Edwards BF. Self-similar nested sequences on a chaotic attractor for traveling-wave electrophoresis. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 80:036205. [PMID: 19905198 DOI: 10.1103/physreve.80.036205] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/22/2009] [Indexed: 05/28/2023]
Abstract
Oscillating electric potentials are applied to interdigitated arrays of cylindrical electrodes above and below a stationary conducting viscous fluid. The phases of these potentials are chosen to produce a longitudinal traveling wave that traps high-mobility ions and partially traps intermediate-mobility ions in periodic and narrowband chaotic attractors with average velocities that are commensurate with the wave speed. Stable periodic attractors have periods up to 101 times the wave period. Incommensurate broadband chaotic attractors are described by one-dimensional iterated contact-angle return maps, which feature self-similar nested sequences that converge geometrically at unstable trapped orbits. Sequences of singular angles and sequences of step transitions are characterized by distinct convergence factors. A criterion for allowed interelectrode orbits is developed. Experiments are suggested to evaluate the applicability of the theory to microfluidic separations.
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Affiliation(s)
- Boyd F Edwards
- Department of Physics, West Virginia University, Morgantown, West Virginia 26506, USA
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40
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Li N, Wang J. Ferroin-Induced Complex Oscillations in the Bromate−Hydroquinone Photochemical Reaction. J Phys Chem A 2009; 113:6297-300. [DOI: 10.1021/jp901197y] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Nan Li
- Institute for Chemical Physics, Beijing Institute of Technology, Beijing 100081, People’s Republic of China, and Department of Chemistry and Biochemistry, The University of Windsor, Ontario N9B 3P4, Canada
| | - Jichang Wang
- Institute for Chemical Physics, Beijing Institute of Technology, Beijing 100081, People’s Republic of China, and Department of Chemistry and Biochemistry, The University of Windsor, Ontario N9B 3P4, Canada
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41
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Toth R, de Lacy Costello B, Stone C, Masere J, Adamatzky A, Bull L. Spiral formation and degeneration in heterogeneous excitable media. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 79:035101. [PMID: 19392004 DOI: 10.1103/physreve.79.035101] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/31/2008] [Revised: 01/16/2009] [Indexed: 05/27/2023]
Abstract
Spontaneous spiral formation occurs when an excitation wave is input to a heterogeneous network of low- and high-light-intensity cells projected onto a light-sensitive Belousov-Zhabotinsky reaction. The range of network conditions where spirals form is increased if two waves are input at critical time intervals. Spirals degenerate to form multiple spirals and spirals trapped within excitable cells. Spiral formation and degeneration is dependent on network excitability, cell size, and network size. Results exhibit parallels with spiral formation in excitable biological systems such as the heart.
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Affiliation(s)
- Rita Toth
- University of the West of England, Bristol, BS16 1QY, United Kingdom
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42
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Bodega PS, Alonso S, Rotermund HH. Effects of external global noise on the catalytic CO oxidation on Pt(110). J Chem Phys 2009; 130:084704. [PMID: 19256616 DOI: 10.1063/1.3078037] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- P S Bodega
- Fritz-Haber Institute of the Max Planck Society, Faradayweg 4-6, 14195 Berlin, Germany
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43
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Ichino T, Fujio K, Matsushita M, Nakata S. Wave Propagation in the Photosensitive Belousov−Zhabotinsky Reaction Across an Asymmetric Gap. J Phys Chem A 2009; 113:2304-8. [DOI: 10.1021/jp809955z] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Takatoshi Ichino
- Department of Intelligent Systems, School of Biology-Oriented Science and Technology, Kinki University, Wakayama 649-6493, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, and Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan
| | - Kenji Fujio
- Department of Intelligent Systems, School of Biology-Oriented Science and Technology, Kinki University, Wakayama 649-6493, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, and Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan
| | - Mariko Matsushita
- Department of Intelligent Systems, School of Biology-Oriented Science and Technology, Kinki University, Wakayama 649-6493, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, and Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan
| | - Satoshi Nakata
- Department of Intelligent Systems, School of Biology-Oriented Science and Technology, Kinki University, Wakayama 649-6493, Japan, Department of Chemistry, Nara University of Education, Takabatake-cho, Nara 630-8528, Japan, and Graduate School of Science, Hiroshima University, Kagamiyama 1-3-1, Higashi-Hiroshima 739-8526, Japan
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44
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de Lacy Costello B, Toth R, Stone C, Adamatzky A, Bull L. Implementation of glider guns in the light-sensitive Belousov-Zhabotinsky medium. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 79:026114. [PMID: 19391813 DOI: 10.1103/physreve.79.026114] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/29/2008] [Revised: 11/20/2008] [Indexed: 05/27/2023]
Abstract
In cellular automata models a glider gun is an oscillating pattern of nonquiescent states that periodically emits traveling localizations (gliders). The glider streams can be combined to construct functionally complete systems of logical gates and thus realize universal computation. The glider gun is the only means of ensuring the negation operation without additional external input and therefore is an essential component of a collision-based computing circuit. We demonstrate the existence of glider-gun-like structures in both experimental and numerical studies of an excitable chemical system-the light-sensitive Belousov-Zhabotinsky reaction. These discoveries could provide the basis for future designs of collision-based reaction-diffusion computers.
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Affiliation(s)
- Ben de Lacy Costello
- Centre for Research in Analytical, Material and Sensor Sciences, University of the West of England, Bristol, BS16 1QY, United Kingdom.
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45
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Li N, Zhang Y, Wang J. Numerical Investigation of Photochemical Behavior in Bromate−1,4-Cyclohexanedione Reactions. J Phys Chem A 2009; 113:833-8. [DOI: 10.1021/jp808093y] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Nan Li
- Institute for Chemical Physics, Beijing Institute of Technology, Beijing 100081, People’s Republic of China, and Department of Chemistry and Biochemistry, University of Windsor, Ontario, Canada N9B 3P4
| | - Yunhong Zhang
- Institute for Chemical Physics, Beijing Institute of Technology, Beijing 100081, People’s Republic of China, and Department of Chemistry and Biochemistry, University of Windsor, Ontario, Canada N9B 3P4
| | - Jichang Wang
- Institute for Chemical Physics, Beijing Institute of Technology, Beijing 100081, People’s Republic of China, and Department of Chemistry and Biochemistry, University of Windsor, Ontario, Canada N9B 3P4
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46
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Gosak M. Cellular diversity promotes intercellular Ca2+ wave propagation. Biophys Chem 2009; 139:53-6. [DOI: 10.1016/j.bpc.2008.10.001] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2008] [Revised: 10/09/2008] [Accepted: 10/10/2008] [Indexed: 10/21/2022]
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47
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Li Y, Xing Y, Cao W, Li Q. Noise-induced effective oscillation in oil-water membrane oscillator. J Chem Phys 2008; 129:194902. [PMID: 19026084 DOI: 10.1063/1.3020334] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Noise-induced oscillation (NIO) was investigated in a model of an oil-water membrane oscillator. First, we analyzed an unexcitable region and an excitable region of the system by proposing a critical threshold of NIO appearance and found a linearlike relation between the critical threshold and noise intensity. Then the phenomenon of noise-induced coherence resonance was investigated by calculating the signal-to-noise ratio. Furthermore, it was found that an optimal noise intensity range could most improve the appearance of effective oscillation (EO). The presence of EO regions made the stochastic model show EO at a more extended region than the deterministic description.
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Affiliation(s)
- Yaping Li
- State Key Laboratory of Chemical Resource Engineering, School of Science, Beijing University of Chemical Technology, Beijing 100029, China.
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48
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Cazelles B, Boudjema G. The Moran effect and phase synchronization in complex spatial community dynamics. Am Nat 2008; 157:670-6. [PMID: 18707283 DOI: 10.1086/320624] [Citation(s) in RCA: 32] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
Affiliation(s)
- B Cazelles
- Laboratoire d'Ecologie, Centre National de la Recherche Scientifique Unité Mixte de Recherche 7625, Université Pierre et Marie Curie, 7 quai St. Bernard, Batîment A, case 237, 75252 Paris Cedex 05, France.
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49
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50
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Li N, Wang J. Nonlinear Phenomena in Light-Mediated Bromate−Hydroquinone−Benzoquinone Reactions. J Phys Chem A 2008; 112:6281-4. [DOI: 10.1021/jp802623r] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Nan Li
- Department of Chemistry and Biochemistry, The University of Windsor, Windsor, ON N9B 3P4, Canada
| | - Jichang Wang
- Department of Chemistry and Biochemistry, The University of Windsor, Windsor, ON N9B 3P4, Canada
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