Journal ArticleDOI
Forced thermal ratchets.
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In this paper, the authors considered a Brownian particle in a periodic potential under heavy damping and showed that if the particle is subject to an external force having time correlations, detailed balance is lost and the particle can exhibit a nonzero net drift speed.Abstract:
We consider a Brownian particle in a periodic potential under heavy damping. The second law forbids it from displaying any net drift speed, even if the symmetry of the potential is broken. But if the particle is subject to an external force having time correlations, detailed balance is lost and the particle can exhibit a nonzero net drift speed. Thus, broken symmetry and time correlations are sufficient ingredients for transport.read more
Citations
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Numerical solution for a non-Fickian diffusion in a periodic potential
TL;DR: In this paper, a non-Fickian diffusion equation belonging to a hyperbolic type is presented in one space dimension, where the Brownian particle modelled by this diffusion equation is subjected to a symmetric periodic potential whose spatial shape can be varied by a single parameter.
Journal ArticleDOI
Ratchet motion and current reversal of Brownian motors coupled by birth-death interactions in the crowded environment
TL;DR: In this article, the authors investigated the ratchet transport behaviors of coupled Brownian motors with stochastic interactions in the crowded environment, which is characterized by two parameters, including particle concentration and interacting stability.
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The enhancement of energy conversion efficiency and current reversal in the feedback coupled ratchets subject to harmonic forces
Journal ArticleDOI
Directed motion of two-headed Brownian motors
Yuxiao Li,Xizhen Wu,Yizhong Zhuo +2 more
TL;DR: In this article, two-headed Brownian motors based on potential fluctuations are studied and the direction of the Brownian motor is induced by the shift transitions of the ratchet-like periodic potential.
Journal ArticleDOI
Mean First-Passage Time of an Asymmetric Kinetic Model Driven by Two Different Kinds of Colored Noises
TL;DR: In this paper, the mean first-passage time (MFPT) of an asymmetric bistable system between multiplicative non-Gaussian noise and additive Gaussian white noise with nonzero cross-correlation time is investigated.
References
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Book
Stochastic processes in physics and chemistry
TL;DR: In this article, the authors introduce the Fokker-planck equation, the Langevin approach, and the diffusion type of the master equation, as well as the statistics of jump events.
Stochastic Processes in Physics and Chemistry
Abstract: Preface to the first edition. Preface to the second edition. Abbreviated references. I. Stochastic variables. II. Random events. III. Stochastic processes. IV. Markov processes. V. The master equation. VI. One-step processes. VII. Chemical reactions. VIII. The Fokker-Planck equation. IX. The Langevin approach. X. The expansion of the master equation. XI. The diffusion type. XII. First-passage problems. XIII. Unstable systems. XIV. Fluctuations in continuous systems. XV. The statistics of jump events. XVI. Stochastic differential equations. XVII. Stochastic behavior of quantum systems.
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Molecular Cell Biology
TL;DR: Molecular cell biology, Molecular cell biology , مرکز فناوری اطلاعات و اصاع رسانی, کδاوρزی
Book
The Fokker-Planck Equation: Methods of Solution and Applications
TL;DR: In this paper, the Fokker-Planck Equation for N Variables (FPE) was extended to N = 1 variable and N = 2 variables, where N is the number of variables in the system.