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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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Journal ArticleDOI

Flashing subdiffusive ratchets in viscoelastic media

TL;DR: In this paper, the central Brownian particle is elastically coupled to surrounding auxiliary Brownian quasi-particles which account for the influence of viscoelastic environment, and the external force influences only the motion of central particle not affecting directly the environmental degrees of freedom.
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Directed motion of Brownian particles with internal energy depot

TL;DR: In this article, a model of Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of motion is discussed.
Journal ArticleDOI

The flow of a reversible ratchet

TL;DR: In a certain process, the behavior of the particle flow in two potential parameters is studied and then it is found that structures exist in the net flow of particles in different potentials or processes.
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Operation of theoretical Brownian motors based on morphological adaptations

TL;DR: In this paper, the dynamics of autonomous Brownian motors that achieve rectified motion due to morphological changes is analyzed, and the effects of hydrodynamic interactions are quantified as function of the morphological asymmetry.
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A synthetic Brownian ratchet architecture for creating tailorable chemomechanical nanomachines

TL;DR: A Brownian ratchet architecture that enables tailorable chemomechanical transduction in synthetic nanomachine and transducer design is presented and topologically simple nanoscale devices that couple sensing to both mechanical actuation and power harvesting are constructed.
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.