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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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Book ChapterDOI

Active Motion in Systems with Energy Supply

TL;DR: In this article, the authors proposed a model of active Brownian particles, which have the ability to take up energy from their environment, store it in an internal energy depot, and to convert internal energy to perform different activities, such as metabolism, acceleration of motion, changes of the environment, or signal-response behavior.
Journal ArticleDOI

Realization of a Brownian engine to study transport phenomena: a semiclassical approach.

TL;DR: A self-consistent theory based on the system-reservoir coupling model of fluctuation induced transport in the semiclassical limit for a general system coupled with two heat baths kept at different temperatures is presented.
Journal ArticleDOI

Effects of symmetrical potential on particle transport in the presence of a periodic channel

TL;DR: In this paper, the influence of an asymmetrical potential on particle transport in the presence of a periodic channel was investigated by calculating particle current and effective diffusion coefficient, and the results showed that an asymmetric potential can influence particle transport.
Book ChapterDOI

On the role of molecular machines in the origin of the genetic code

TL;DR: It is shown that, within an extraterrestrial pre-biotic scenario, the conditions for locomotion of such polymers with a slowing down every three monomers are very likely and argued that this kinematic property may be at the origin of the three base codon composition.
Dissertation

Localised excitations in long Josephson junctions with phase-shifts with time-varying drive

TL;DR: In this article, the authors considered a variety of ac-driven, inhomogeneous sine-Gordon equations describing an infinitely long Josephson junction with phase shifts, driven by a microwave field.
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.