1
|
Kalita H, Dutta S. Interaction of multiple spiral rotors in a reaction-diffusion system. Phys Rev E 2022; 105:054213. [PMID: 35706284 DOI: 10.1103/physreve.105.054213] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2021] [Accepted: 05/09/2022] [Indexed: 06/15/2023]
Abstract
Rotors of reaction and diffusion are phase singularities that give rise to spiral waves of chemical activity, which are very similar to spatiotemporal patterns observed across several excitable media. Here we carry out experiments with the Belousov-Zhabotinsky reaction system and numerical simulations based on a reaction-diffusion model to show the possible interactions of multiple spiral rotors. When the cores of two spirals come very close to each other, they could either repel, attract, or remain stationary, depending on their relative chirality, phase, and distance separating them. Multiple pairs of spiral waves, in proximity to each other, could alter the paths of the individual rotors. A spiral core will be influenced most by the rotor that is closest to it, depending on the nature of the corresponding spiral wave arm. We observed rotors lying within a limiting distance of each other attract and annihilate. Otherwise, they push each other away until they reach a critical distance, beyond which all interactions seem to cease. We have established a relationship of this critical distance to the properties of the spiral wave. We also observed spontaneous symmetry-breaking instability for a system of up to eight rotors. Our experiments with the Belousov-Zhabotinsky reaction have successfully demonstrated the validity of the numerical results. A thorough understanding of the dynamics of several spiral rotors within a small area could help us perceive the nature of such excitation waves in cardiac tissue and cell membranes.
Collapse
Affiliation(s)
- Hrishikesh Kalita
- Department of Chemistry, Indian Institute of Technology Guwahati, Guwahati 781039, India
| | - Sumana Dutta
- Department of Chemistry, Indian Institute of Technology Guwahati, Guwahati 781039, India
| |
Collapse
|
2
|
Kumar DJP, Reddy KR, Dayal P. 0D–2D heterostructures as nanocatalysts for self-oscillating reactions: an investigation into chemical kinetics. Phys Chem Chem Phys 2020; 22:24516-24525. [DOI: 10.1039/d0cp02905j] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Ceria-decorated graphene nanocomposites as an efficient catalyst for the oscillatory Belousov–Zhabotinsky reaction.
Collapse
Affiliation(s)
| | - K. Reshma Reddy
- Department of Petroleum Engineering
- Indian Institute of Petroleum and Energy
- Vishakhapatnam
- India
| | - Pratyush Dayal
- Department of Chemical Engineering
- Indian Institute of Technology
- Gandhinagar
- India
| |
Collapse
|
3
|
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.
Collapse
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
| |
Collapse
|
4
|
Voskresenskaya OO, Skorik NA, Yuzhakova YV. Thermodynamics of the formation of cerium(IV) malonate complex and the kinetics of its redox decomposition. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A 2017. [DOI: 10.1134/s0036024417040318] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
|
5
|
King PH, Abraham CH, Zauner KP, de Planque MRR. Excitability Modulation of Oscillating Media in 3D-Printed Structures. ARTIFICIAL LIFE 2015; 21:225-233. [PMID: 25622017 DOI: 10.1162/artl_a_00158] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Excitation and oscillation are central to living systems. For excitable systems, which can be brought into oscillation by an external stimulus, the excitation threshold is a crucial parameter. This is evident for neurons, which only generate an action potential when exposed to a sufficiently high concentration of excitatory neurotransmitters, which may only be achieved when multiple presynaptic axons deliver their action potential simultaneously to the synaptic cleft. Dynamic systems composed of relatively simple chemicals are of interest because they can serve as a model for physiological processes or can be exploited to implement chemical computing. With these applications in mind, we have studied the properties of the oscillatory Belousov-Zhabotinsky (BZ) reaction in 3D-printed reaction vessels with open channels of different dimensions. It is demonstrated that the channel geometry can be used to modulate the excitability of the BZ medium, switching a continuously oscillating medium to an excitable medium. Because large networks of channel-connected reaction wells of different depth can easily be fabricated by 3D printing, local excitability modulation could be built into the structure of the reaction vessel itself, opening the way to more extensive experimentation with networks of chemical oscillators.
Collapse
|
6
|
Luengviriya J, Phantu M, Müller SC, Luengviriya C. Inhibitory effect of oxygen on excitation waves in the Belousov–Zhabotinsky reaction with different excitability. Chem Phys Lett 2015. [DOI: 10.1016/j.cplett.2014.10.057] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
|
7
|
Neuenschwander U, Negron A, Jensen KF. A Clock Reaction Based on Molybdenum Blue. J Phys Chem A 2013; 117:4343-51. [DOI: 10.1021/jp400879d] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/28/2022]
Affiliation(s)
- Ulrich Neuenschwander
- Department of Chemical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge
Massachusetts 02139, United States
| | - Arnaldo Negron
- Department of Chemical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge
Massachusetts 02139, United States
| | - Klavs F. Jensen
- Department of Chemical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge
Massachusetts 02139, United States
| |
Collapse
|
8
|
Luengviriya C, Luengviriya J, Sutthiopad M, Porjai P, Tomapatanaget B, Müller SC. Excitability of the ferroin-catalyzed Belousov–Zhabotinsky reaction with pyrogallol. Chem Phys Lett 2013. [DOI: 10.1016/j.cplett.2013.01.041] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
|
9
|
Blagojević SM, Anić SR, Čupić ŽD. Influence of most important radicals on the numerically simulated belousov-zhabotinsky oscillatory reaction under batch conditions. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A 2011. [DOI: 10.1134/s003602441113005x] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
|
10
|
Li J, Wang J. Complex kinetics and significant influences of bromine removal in ferroin–bromate–metol reaction. Phys Chem Chem Phys 2011; 13:15539-45. [DOI: 10.1039/c1cp21028a] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
11
|
von Kameke A, Huhn F, Fernández-García G, Muñuzuri AP, Pérez-Muñuzuri V. Propagation of a chemical wave front in a quasi-two-dimensional superdiffusive flow. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2010; 81:066211. [PMID: 20866505 DOI: 10.1103/physreve.81.066211] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/06/2010] [Indexed: 05/29/2023]
Abstract
Pattern formation in reaction-diffusion systems is an important self-organizing mechanism in nature. Dynamics of systems with normal diffusion do not always reflect the processes that take place in real systems when diffusion is enhanced by a fluid flow. In such reaction-diffusion-advection systems diffusion might be anomalous for certain time and length scales. We experimentally study the propagation of a chemical wave occurring in a Belousov-Zhabotinsky reaction subjected to a quasi-two-dimensional chaotic flow created by the Faraday experiment. We present a novel analysis technique for the local expansion of the active wave front and find evidence of its superdiffusivity. In agreement with these findings the variance σ(2)(t)∝t(γ) of the reactive wave grows supralinear in time with an exponent γ>2. We study the characteristics of the underlying flow with microparticles. By statistical analysis of particle trajectories we derive flight time and jump length distributions and find evidence that tracer-particles undergo complex trajectories related to Lévy statistics. The propagation of active and passive media in the flow is compared.
Collapse
Affiliation(s)
- A von Kameke
- Group of Nonlinear Physics, University of Santiago de Compostela, E-15782 Santiago de Compostela, Spain.
| | | | | | | | | |
Collapse
|
12
|
Blagojević SM, Anić SR, Čupić ŽD, Pejić ND, Kolar-Anić LZ. Temperature influence on the malonic acid decomposition in the Belousov-Zhabotinsky reaction. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A 2009. [DOI: 10.1134/s0036024409090143] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
|
13
|
Hastings HM, Sobel SG, Field RJ, Bongiovi D, Burke B, Richford D, Finzel K, Garuthara M. Bromide Control, Bifurcation and Activation in the Belousov−Zhabotinsky Reaction. J Phys Chem A 2008; 112:4715-8. [DOI: 10.1021/jp8019073] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Harold M. Hastings
- Department of Chemistry and Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549-1510, and Department of Chemistry, The University of Montana, Missoula, Montana 59812
| | - Sabrina G. Sobel
- Department of Chemistry and Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549-1510, and Department of Chemistry, The University of Montana, Missoula, Montana 59812
| | - Richard J. Field
- Department of Chemistry and Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549-1510, and Department of Chemistry, The University of Montana, Missoula, Montana 59812
| | - Dominick Bongiovi
- Department of Chemistry and Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549-1510, and Department of Chemistry, The University of Montana, Missoula, Montana 59812
| | - Brianna Burke
- Department of Chemistry and Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549-1510, and Department of Chemistry, The University of Montana, Missoula, Montana 59812
| | - Daniel Richford
- Department of Chemistry and Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549-1510, and Department of Chemistry, The University of Montana, Missoula, Montana 59812
| | - Kara Finzel
- Department of Chemistry and Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549-1510, and Department of Chemistry, The University of Montana, Missoula, Montana 59812
| | - Melissa Garuthara
- Department of Chemistry and Department of Physics and Astronomy, Hofstra University, Hempstead, New York 11549-1510, and Department of Chemistry, The University of Montana, Missoula, Montana 59812
| |
Collapse
|
14
|
Fernández-García G, Roncaglia DI, Pérez-Villar V, Muñuzuri AP, Pérez-Muñuzuri V. Chemical-wave dynamics in a vertically oscillating fluid layer. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2008; 77:026204. [PMID: 18352100 DOI: 10.1103/physreve.77.026204] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/07/2007] [Revised: 10/09/2007] [Indexed: 05/26/2023]
Abstract
Classical Faraday experiments were conducted on the oscillatory chemical Belousov-Zhabotinsky (BZ) reaction. The vertical periodic modulation of the acceleration induces flows in the system that change the BZ dynamics, and thus the patterns exhibited. The resulting reaction-diffusion-advection system exhibits four different types of pattern for increasing stirring amplitude: deformed targets and spiral waves, filamentary patterns arranged in large-scale vortices, advection phase waves, and finally front annihilation where the medium becomes homogeneous. A wave period analysis of the forced system has been carried out. Contrary to what is expected, i.e., a continuous increase of the wave period with increasing forcing, the period changes dramatically at the boundaries between pattern domains.
Collapse
Affiliation(s)
- G Fernández-García
- Group of Nonlinear Physics, University of Santiago de Compostela, E-15782 Santiago de Compostela, Spain
| | | | | | | | | |
Collapse
|
15
|
Blagojević SM, Anić SR, Čupić ŽD, Pejić ND, Kolar-Anić LZ. Malonic acid concentration as a control parameter in the kinetic analysis of the Belousov–Zhabotinsky reaction under batch conditions. Phys Chem Chem Phys 2008; 10:6658-64. [DOI: 10.1039/b804919j] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
16
|
Miyazaki J, Kinoshita S. Method for determining a coupling function in coupled oscillators with application to Belousov-Zhabotinsky oscillators. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2006; 74:056209. [PMID: 17279986 DOI: 10.1103/physreve.74.056209] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/03/2006] [Indexed: 05/13/2023]
Abstract
A coupling function that describes the interaction between self-sustained oscillators in a phase equation is derived and applied experimentally to Belousov-Zhabotinsky (BZ) oscillators. It is demonstrated that the synchronous behavior of coupled BZ reactors is explained extremely well in terms of the coupling function thus obtained. This method does not require comprehensive knowledge of either the oscillation mechanism or the interaction among the oscillators, both of these being often difficult to elucidate in an actual system. These facts enable us to accurately analyze the weakly coupled entrainment phenomenon through the direct measurement of the coupling function.
Collapse
Affiliation(s)
- J Miyazaki
- Graduate School of Frontier Biosciences, Osaka University, Suita 565-0871, Japan.
| | | |
Collapse
|
17
|
Luengviriya C, Storb U, Hauser MJB, Müller SC. An elegant method to study an isolated spiral wave in a thin layer of a batch Belousov–Zhabotinsky reaction under oxygen-free conditions. Phys Chem Chem Phys 2006; 8:1425-9. [PMID: 16633624 DOI: 10.1039/b517918a] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A method to prepare a uniform thin layer of a batch Belousov-Zhabotinsky (BZ) reaction under oxygen-free conditions for the study of an isolated spiral wave is presented. After a first layer of gel soaked with the BZ solution has been delivered into the reactor, a single spiral wave was initiated, and finally the remaining reactor volume was filled with gel and BZ medium. The completely filled reactor is sealed gas-tightly, yielding oxygen-free, and thus more controlled, reaction conditions. A systematic study of the behaviour of an isolated spiral wave in a ferroin-catalyzed BZ reaction under batch conditions has been performed. Recipes for BZ media that support a slowly rotating meandering spiral were developed. In cases of extremely low excitability (i.e., relative large stimuli are required to induce a propagating wave), the number of petals in the trajectory of a spiral tip decreased due to aging of the reaction system. Since oxygen-free conditions are necessary for the study of the dynamics in three-dimensional excitable media, and the wave velocities of a spiral are sufficiently low, the developed chemical recipes are suitable for studies of the behaviour of scroll waves in three-dimensional systems by optical tomography.
Collapse
Affiliation(s)
- Chaiya Luengviriya
- Institute of Experimental Physics, Biophysics Group, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106, Magdeburg, Germany.
| | | | | | | |
Collapse
|
18
|
Kalishyn YY, Rachwalska M, Khavrus VO, Strizhak PE. The effect of oxygen on time-dependent bifurcations in the Belousov–Zhabotinsky oscillating chemical reaction in a batch. Phys Chem Chem Phys 2005; 7:1680-6. [DOI: 10.1039/b416006a] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
|
19
|
Hamik CT, Manz N, Steinbock O. Anomalous Dispersion and Attractive Pulse Interaction in the 1,4-Cyclohexanedione Belousov−Zhabotinsky Reaction. J Phys Chem A 2001. [DOI: 10.1021/jp010270j] [Citation(s) in RCA: 60] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Chad T. Hamik
- Florida State University, Department of Chemistry, Tallahassee, Florida 32306-4390
| | - Niklas Manz
- Florida State University, Department of Chemistry, Tallahassee, Florida 32306-4390
| | - Oliver Steinbock
- Florida State University, Department of Chemistry, Tallahassee, Florida 32306-4390
| |
Collapse
|