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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Directed motion generated by heat bath nonlinearly driven by external noise
TL;DR: In this paper, the authors proposed a new microscopic model to study directed motion in the overdamped limit for a nonequilibrium open system, based on the system heat bath approach where the bath is nonlinearly modulated by an external Gaussian random force.
Journal ArticleDOI
Current inversion induced by colored non-Gaussian noise
TL;DR: In this paper, a stochastic process driven by colored non-Gaussian noises was studied and it was shown that the current inversion in the variation of the current with the half-cycle period accounts for the potential on-off operation.
Journal ArticleDOI
Entropic transport of active particles driven by a transverse ac force
TL;DR: In this paper, the authors numerically investigated the transport of active particles in a two-dimensional period channel and found that the direction of the transport varies with different self-propelled speeds.
Journal ArticleDOI
Primordial synthesis machines and the origin of the genetic code
TL;DR: It is argued that the transport property of particle/polymer electrostatic interactions is at the origin of the three base codon composition of the genetic code and this transport property translates into locomotion regularities with a slowing down every three monomers.
Journal ArticleDOI
A Simple Discrete Model of Brownian Motors: Time-periodic Markov Chains
TL;DR: In this article, the authors consider periodically inhomogeneous Markov chains, which can be regarded as a simple version of physical model and introduce the concepts of periodical reversibility, detailed balance, entropy production rate and circulation distribution.
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.
Book
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.