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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

Interacting Brownian particles exhibiting enhanced rectification in an asymmetric channel

TL;DR: In this article, the authors investigated rectification of interacting Brownian particles in a two-dimensional asymmetric channel in the presence of an external periodic driving force, and they found that by simply tuning the driving frequency, driving amplitude, and shape of the channel, the average velocity can be reversed.
Proceedings ArticleDOI

Dynamics importance sampling for the activation problem in nonequilibrium continuous systems and maps

TL;DR: In this article, a numerical approach based on dynamic importance sampling (DIMS) is introduced to investigate the activation problem in two-dimensional nonequilibrium systems and a shift in the position of the escape path compared to a heteroclinic trajectory calculated in the limit of zero noise intensity is directly observed.
Book ChapterDOI

Mechanical Sensing of Living Systems — From Statics to Dynamics

TL;DR: This chapter reviews methods and techniques that have been implemented to decipher the cascade of temporal events which enable a cell to sense a mechanical stimulus and to elaborate a response to adapt or to counteract this perturbation.
Journal ArticleDOI

Deterministic ratchet effect in asymmetric d.c. SQUIDs

TL;DR: In this paper, the superconducting phase differences of a conventional d.c. SQUID in the presence of small structural asymmetry and coupling energy inhomogeneity were studied by means of a reduced two-junction interferometer model.
Journal ArticleDOI

Dynamics importance sampling for the collection of switching events in vertical-cavity surface-emitting lasers

TL;DR: In this paper, a numerical approach based on dynamic importance sampling (DIMS) is applied to investigate polarization switches in vertical-cavity surface-emitting laser systems.
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.