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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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Overview: Unsolved problems of noise and fluctuations

TL;DR: This Focus Issue brings together a collection of articles that highlight some of the emerging hot unsolved noise problems to point the way for future research.
Journal ArticleDOI

Energy transformation in biological molecular motors

TL;DR: The principle of rectified thermal diffusion has recently received a great support from the single-molecule studies as discussed by the authors, and a few specific motor systems are considered to illustrate the general principle.
Journal ArticleDOI

The loose coupling mechanism in molecular machines of living cells.

TL;DR: The long‐distance multistep sliding of a single myosin head on an actin filament, coupled with the hydrolysis of one ATP molecule, was observed by Yanagida's group using highly developed techniques of optical microscopy and micromanipulation, giving direct evidence for the loose coupling between the chemical reaction and the mechanical event in the sliding machine.
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Activated escape of periodically driven systems

TL;DR: It is shown that the escape probabilities can be changed very strongly even by a comparatively weak force, and the logarithmic susceptibility, which is analyzed theoretically and through analog and digital simulations, is described.
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How molecular motors extract order from chaos (a key issues review).

TL;DR: The current understanding of how molecular motors work is reviewed, simple models based on thermal ratchets are presented, implications for statistical physics are discussed, and an overview of ongoing research in this important and fascinating field of study is provided.
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.