1
|
Hu HW, Du L, Fan AL, Deng ZC, Grebogi C. Entropic stochastic resonance of finite-size particles in confined Brownian transport. Phys Rev E 2024; 109:054110. [PMID: 38907477 DOI: 10.1103/physreve.109.054110] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/10/2023] [Accepted: 04/05/2024] [Indexed: 06/24/2024]
Abstract
We demonstrate the existence of entropic stochastic resonance (ESR) of passive Brownian particles with finite size in a double- or triple-circular confined cavity, and compare the similarities and differences of ESR in the double-circular cavity and triple-circular cavity. When the diffusion of Brownian particles is constrained to the double- or triple-circular cavity, the presence of irregular boundaries leads to entropic barriers. The interplay between the entropic barriers, a periodic input signal, the gravity of particles, and intrinsic thermal noise may give rise to a peak in the spectral amplification factor and therefore to the appearance of the ESR phenomenon. It is shown that ESR can occur in both a double-circular cavity and a triple-circular cavity, and by adjusting some parameters of the system, the response of the system can be optimized. The differences are that the spectral amplification factor in a triple-circular cavity is significantly larger than that in a double-circular cavity, and compared with the ESR in a double-circular cavity, the ESR effect in a triple-circular cavity occurs within a wider range of external force parameters. In addition, the strength of ESR also depends on the particle radius, and smaller particles can induce more obvious ESR, indicating that the size effect cannot be safely neglected. The ESR phenomenon usually occurs in small-scale systems where confinement and noise play an important role. Therefore, the mechanism that is found could be used to manipulate and control nanodevices and biomolecules.
Collapse
Affiliation(s)
- Hai-Wei Hu
- School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China
- MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi'an 710072, China
| | - Lin Du
- School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China
- MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi'an 710072, China
| | - Ai-Li Fan
- School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China
- MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi'an 710072, China
| | - Zi-Chen Deng
- School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China
- MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi'an 710072, China
- School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China
| | - Celso Grebogi
- Institute for Complex Systems and Mathematical Biology, Kingdom College, University of Aberdeen, Aberdeen AB24 3UE, United Kingdom
| |
Collapse
|
2
|
Zhu Q, Zhou Y, Marchesoni F, Zhang HP. Colloidal Stochastic Resonance in Confined Geometries. PHYSICAL REVIEW LETTERS 2022; 129:098001. [PMID: 36083679 DOI: 10.1103/physrevlett.129.098001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/07/2022] [Revised: 04/01/2022] [Accepted: 08/04/2022] [Indexed: 06/15/2023]
Abstract
We investigate the dynamical properties of a colloidal particle in a double cavity. Without external driving, the particle hops between two free-energy minima with transition mean time depending on the system's entropic and energetic barriers. We then drive the particle with a periodic force. When the forcing period is set at twice the transition mean time, a statistical synchronization between particle motion and forcing phase marks the onset of a stochastic resonance mechanism. Comparisons between experimental results and predictions from the Fick-Jacobs theory and Brownian dynamics simulation reveal significant hydrodynamic effects, which change both resonant amplification and noise level. We further show that hydrodynamic effects can be incorporated into existing theory and simulation by using an experimentally measured particle diffusivity.
Collapse
Affiliation(s)
- Qian Zhu
- School of Physics and Astronomy and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Yang Zhou
- School of Physics and Astronomy and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Fabio Marchesoni
- Center for Phononics and Thermal Energy Science, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
- Dipartimento di Fisica, Universitá di Camerino, I-62032 Camerino, Italy
| | - H P Zhang
- School of Physics and Astronomy and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
| |
Collapse
|
3
|
Consistent Quantification of Complex Dynamics via a Novel Statistical Complexity Measure. ENTROPY 2022; 24:e24040505. [PMID: 35455168 PMCID: PMC9032123 DOI: 10.3390/e24040505] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/07/2022] [Revised: 03/29/2022] [Accepted: 04/02/2022] [Indexed: 02/06/2023]
Abstract
Natural systems often show complex dynamics. The quantification of such complex dynamics is an important step in, e.g., characterization and classification of different systems or to investigate the effect of an external perturbation on the dynamics. Promising routes were followed in the past using concepts based on (Shannon’s) entropy. Here, we propose a new, conceptually sound measure that can be pragmatically computed, in contrast to pure theoretical concepts based on, e.g., Kolmogorov complexity. We illustrate the applicability using a toy example with a control parameter and go on to the molecular evolution of the HIV1 protease for which drug treatment can be regarded as an external perturbation that changes the complexity of its molecular evolutionary dynamics. In fact, our method identifies exactly those residues which are known to bind the drug molecules by their noticeable signal. We furthermore apply our method in a completely different domain, namely foreign exchange rates, and find convincing results as well.
Collapse
|
4
|
Mei R, Xu Y, Li Y, Kurths J. Characterizing stochastic resonance in a triple cavity. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2021; 379:20200230. [PMID: 33840209 DOI: 10.1098/rsta.2020.0230] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 11/30/2020] [Indexed: 05/22/2023]
Abstract
Many biological systems possess confined structures, which produce novel influences on the dynamics. Here, stochastic resonance (SR) in a triple cavity that consists of three units and is subjected to noise, periodic force and vertical constance force is studied, by calculating the spectral amplification η numerically. Meanwhile, SR in the given triple cavity and differences from other structures are explored. First, it is found that the cavity parameters can eliminate or regulate the maximum of η and the noise intensity that induces this maximum. Second, compared to a double cavity with similar maximum/minimum widths and distances between two maximum widths as the triple cavity, η in the triple one shows a larger maximum. Next, the conversion of the natural boundary in the pure potential to the reflection boundary in the triple cavity will create the necessity of a vertical force to induce SR and lead to a decrease in the maximum of η. In addition, η monotonically decreases with the increase of the vertical force and frequency of the periodic force, while it presents several trends when increasing the periodic force's amplitude for different noise intensities. Finally, our studies are extended to the impact of fractional Gaussian noise excitations. This article is part of the theme issue 'Vibrational and stochastic resonance in driven nonlinear systems (part 2)'.
Collapse
Affiliation(s)
- Ruoxing Mei
- School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China
- Potsdam Institute for Climate Impact Research, Potsdam 14412, Germany
| | - Yong Xu
- School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China
- MIIT Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China
| | - Yongge Li
- School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China
| | - Jürgen Kurths
- Potsdam Institute for Climate Impact Research, Potsdam 14412, Germany
- Centre for Analysis of Complex Systems, Sechenov First Moscow State Medical University, Moscow 119146, Russia
| |
Collapse
|
5
|
Du LC, Yue WH, Jiang JH, Yang LL, Ge MM. Entropic stochastic resonance induced by a transverse driving force. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2021; 379:20200228. [PMID: 33840218 DOI: 10.1098/rsta.2020.0228] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 10/06/2020] [Indexed: 05/22/2023]
Abstract
The phenomenon of entropic stochastic resonance (ESR) is investigated with the presence of a time-periodic force in the transverse direction. Simulation results manifest that the ESR can survive even if there is no static bias force in any direction, just if a transverse driving field is applied. In the weak noise region, the transverse driving force leads to a giant-suppression of the escape rate from one well to another, i.e. the entropic trapping. The increase in noise intensity will eliminate this suppression and induce the ESR phenomenon. An alternative quantity, called the mean free flying time, is also proposed to characterize the ESR as well as the conventional spectral power amplification. The ESR can be modulated conveniently by the transverse periodic force, which implies an alternative method for controlling the dynamics of small-scale systems. This article is part of the theme issue 'Vibrational and stochastic resonance in driven nonlinear systems (part 2)'.
Collapse
Affiliation(s)
- L C Du
- Department of Physics, Yunnan University, Kunming, 650091, People's Republic of China
| | - W H Yue
- Department of Physics, Yunnan University, Kunming, 650091, People's Republic of China
| | - J H Jiang
- Department of Physics, Yunnan University, Kunming, 650091, People's Republic of China
| | - L L Yang
- Department of Physics, Yunnan University, Kunming, 650091, People's Republic of China
| | - M M Ge
- Department of Physics, Yunnan University, Kunming, 650091, People's Republic of China
| |
Collapse
|
6
|
Du L, Han R, Jiang J, Guo W. Entropic vibrational resonance. Phys Rev E 2020; 102:012149. [PMID: 32795083 DOI: 10.1103/physreve.102.012149] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/20/2020] [Accepted: 07/10/2020] [Indexed: 05/22/2023]
Abstract
We demonstrate the existence of vibrational resonance associated with the presence of an uneven boundary. When the motion of a Brownian particle is confined in a region with an uneven boundary, constrained to a double cavity, a high-frequency signal may produce a peak in the spectral power amplification of the other low-frequency signal and therefore to the appearance of the vibrational resonance phenomenon. The mechanism of vibrational resonance in constrained boundaries is different from that in energetic potentials and is termed entropic vibrational resonance (EVR). The EVR can be observed even if the bias force is absent in any direction. Through careful analysis, we clarify two types of mechanisms of the EVR. The one mechanism is ascribed to the transition from a bistable system to a monostable system, and the other corresponds to the match between the escape rate and the natural frequency of the low-frequency signal. Our work merges the vibrational resonance with an uneven boundary, thus extending the scope of the vibrational resonance and shedding new light on the concept of resonance.
Collapse
Affiliation(s)
- Luchun Du
- Department of Physics, Yunnan University, Kunming 650091, China
- School of Physics Sciences and Engineering, Tongji University, Shanghai 200092, China
| | - Ruoshui Han
- Department of Physics, Yunnan University, Kunming 650091, China
| | - Jiahao Jiang
- Department of Physics, Yunnan University, Kunming 650091, China
| | - Wei Guo
- School of Physical Science and Technology, Kunming University, Kunming 650214, China
| |
Collapse
|
7
|
Zhang L, Lai L, Peng H, Tu Z, Zhong S. Stochastic and superharmonic stochastic resonances of a confined overdamped harmonic oscillator. Phys Rev E 2018; 97:012147. [PMID: 29448483 DOI: 10.1103/physreve.97.012147] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/09/2017] [Indexed: 06/08/2023]
Abstract
The dynamics of many soft condensed matter and biological systems is affected by space limitations, which produce some peculiar effects on the systems' stochastic resonance (SR) behavior. In this study, we propose a model where SR can be observed: a confined overdamped harmonic oscillator that is subjected to a sinusoidal driving force and is under the influence of a multiplicative white noise. The output response of the system is a periodic signal with harmonic frequencies that are odd multiples of the driving frequency. We verify the amplitude resonances at the driving frequencies and superharmonic frequencies that are equal to three, five, and seven times the driving frequency, using a numerical method based on the stochastic Taylor expansion. The synergistic effect of the multiplicative white noise, constant boundaries, and periodic driving force that can induce a SR in the output amplitude at the driving and superharmonic frequencies is found. The SR phenomenon found in this paper is sensitive to the driving amplitude and frequency, inherent potential parameter, and boundary width, thus leading to various resonance conditions. Therefore, the mechanism found could be beneficial for the characterization of these confined systems and could constitute an important tool for controlling their basic properties.
Collapse
Affiliation(s)
- Lu Zhang
- College of Mathematics, Sichuan University, Chengdu, 610065, China
| | - Li Lai
- College of Mathematics, Sichuan University, Chengdu, 610065, China
| | - Hao Peng
- College of Mathematics, Southwest Jiaotong University, Chengdu, 611756, China
| | - Zhe Tu
- Business School, Zhejiang Wanli University, Ningbo, 315100, China
| | - Suchuan Zhong
- School of Aeronautics and Astronautics, Sichuan University, Chengdu, 610065, China
- BBD Inc, Chengdu, 610093, China
| |
Collapse
|
8
|
Ding H, Jiang H, Hou Z. Entropic transport without external force in confined channel with oscillatory boundary. J Chem Phys 2015; 143:244119. [DOI: 10.1063/1.4939081] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Huai Ding
- Department of Chemical Physics & Hefei National Laboratory for Physical Sciences at Microscales, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Huijun Jiang
- Department of Chemical Physics & Hefei National Laboratory for Physical Sciences at Microscales, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Zhonghuai Hou
- Department of Chemical Physics & Hefei National Laboratory for Physical Sciences at Microscales, University of Science and Technology of China, Hefei, Anhui 230026, China
| |
Collapse
|
9
|
Ding H, Jiang H, Hou Z. Entropic stochastic resonance without external force in oscillatory confined space. J Chem Phys 2015; 142:194109. [DOI: 10.1063/1.4921372] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Huai Ding
- Department of Chemical Physics and Hefei National Laboratory for Physical Sciences at Microscales, iChEM, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Huijun Jiang
- Department of Chemical Physics and Hefei National Laboratory for Physical Sciences at Microscales, iChEM, University of Science and Technology of China, Hefei, Anhui 230026, China
| | - Zhonghuai Hou
- Department of Chemical Physics and Hefei National Laboratory for Physical Sciences at Microscales, iChEM, University of Science and Technology of China, Hefei, Anhui 230026, China
| |
Collapse
|
10
|
Microscopic dynamics of synchronization in driven colloids. Nat Commun 2015; 6:7187. [PMID: 25994921 PMCID: PMC4455069 DOI: 10.1038/ncomms8187] [Citation(s) in RCA: 46] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/24/2014] [Accepted: 04/16/2015] [Indexed: 11/08/2022] Open
Abstract
Synchronization of coupled oscillators has been scrutinized for over three centuries, from Huygens' pendulum clocks to physiological rhythms. One such synchronization phenomenon, dynamic mode locking, occurs when naturally oscillating processes are driven by an externally imposed modulation. Typically only averaged or integrated properties are accessible, leaving underlying mechanisms unseen. Here, we visualize the microscopic dynamics underlying mode locking in a colloidal model system, by using particle trajectories to produce phase portraits. Furthermore, we use this approach to examine the enhancement of mode locking in a flexible chain of magnetically coupled particles, which we ascribe to breathing modes caused by mode-locked density waves. Finally, we demonstrate that an emergent density wave in a static colloidal chain mode locks as a quasi-particle, with microscopic dynamics analogous to those seen for a single particle. Our results indicate that understanding the intricate link between emergent behaviour and microscopic dynamics is key to controlling synchronization. Synchronization may occur when naturally oscillating systems are driven by an external modulation, for example, in charge density waves. Here, Juniper et al. visualize the locked modes of synchronization at a microscopic level using a colloidal system.
Collapse
|