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Journal ArticleDOI

Forced thermal ratchets.

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TLDR
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.

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Journal ArticleDOI

A unified description of time dependence of information entropy production and flux in thermal broadband noise-driven dynamical systems

TL;DR: In this article, a unified description of fluctuating force is considered in a thermodynamically closed system and the time-dependence of the information entropy production and entropy flux in the presence and absence of nonequilibrium constraint is investigated.
Journal ArticleDOI

A data-analysis method for identifying differential effects of time-delayed feedback forces and periodic driving forces in stochastic systems

TL;DR: The proposed data-analysis method yields dynamical models in terms of stochastic delay differential equations on the basis of which differential effects of driving forces and time-delayed feedback forces can be identified.
Journal ArticleDOI

Allosteric model of an ion pump.

TL;DR: It is suggested that the correlated transitions of the subsystems (subunits or domains) through allosteric interaction are the origin of the diverse functions of the protein machineries.
Journal ArticleDOI

Generation of slow intense optical solitons in a resonance photonic crystal

TL;DR: In this article, the authors demonstrate interesting and previously unforeseen properties of a pair of gap solitons in a resonant photonic crystal which are predicted and explained in a physically transparent form using both analytical and numerical methods.
Proceedings ArticleDOI

Theoretical and experimental investigation of mode-hopping in semiconductor ring lasers

TL;DR: In this article, the authors investigate the noise-induced transitions between the counter-rotating and counter-lasing modes of a SRL and reveal that the residence time distribution cannot be described by a simple one-parameter Arrhenius exponential law, due to the presence of two well-separated time scales in the process.
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

Hannes Risken
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.