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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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Citations
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Journal ArticleDOI

Stasis domains and slip surfaces in the locomotion of a bio-inspired two-segment crawler

TL;DR: In this article, the authors formulate and solve the locomotion problem for a bio-inspired crawler consisting of two active elastic segments (i.e., capable of changing their rest lengths), resting on three supports providing directional frictional interactions.
Journal ArticleDOI

Phase synchronization for two Brownian motors with bistable coupling on a ratchet

TL;DR: In this paper, the authors studied phase synchronization for a walker on a ratchet potential, and established a connection between optimal transport in ratchets and the phenomenon of phase synchronization through Arnold tongues.
Book ChapterDOI

Physics and Life

TL;DR: In this paper, the molecular basis of the living cell was revealed and a solution to both the nature and the origin of life would soon be found, inspired by Erwin Schrodinger's book What is Life? (1944).
Journal ArticleDOI

A chemically driven fluctuating ratchet model for actomyosin interaction.

TL;DR: In this article, a Brownian motor of fluctuating ratchet kind was designed with the aim to describe the interaction between a Myosin II head and a neighboring actin filament. But the motor was not designed for the actomyosin interaction.
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.