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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

Rocking Subdiffusive Ratchets: Origin, Optimization and Efficiency

TL;DR: In this paper, the authors studied the origin, parameter optimization, and thermodynamic efficiency of isothermal rocking ratchets based on fractional subdiffusion within a generalized non-Markovian Langevin equation approach.
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Stasis domains and slip surfaces in the locomotion of a bio-inspired two-segment crawler

TL;DR: By focusing on the tensions in the elastic segments, this work shows that the evolution laws for the system are entirely analogous to the flow rules of elasto-plasticity, and shows that specific choices of the actuation strategy can lead to net displacements also in the direction of higher friction.
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Escape over fluctuating potential barrier for system only driven by dichotomous noise

TL;DR: In this article, the authors investigated the mean first passage time (MFPT) over the fluctuating potential barrier for system only driven by a dichotomous noise and found that, in some circumstances, the noise can induce the resonant activation for the MFPT, but in other circumstances, it cannot.
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Pumping heat with quantum ratchets

TL;DR: In this article, Linke et al. showed that a Landauer model of an experimental tunnelling ratchet predicts the existence of a net heat current even when the net particle current goes through zero, and defined a coefficient of performance for the ratchet as a heat pump.
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Particle with internal dynamical asymmetry: chaotic self-propulsion and turning

TL;DR: In this article, a model of a complex particle that consists of a rigid shell and a nucleus with spatial asymmetric interaction is investigated. And the particle's dynamics with the nucleus driven by a time-periodic force is considered.
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.