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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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Citations
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Thermodynamics and Kinetics of a Brownian Motor

TL;DR: Fluctuation-driven transport is one mechanism by which chemical energy can directly drive the motion of particles and macromolecules and may find application in a wide variety of fields, including particle separation and the design of molecular motors and pumps.
Book

Mechanics of the cell

TL;DR: The cell is studied as a model for three-dimensional networks, and the role of Membrane undulations in these networks is examined.
Journal ArticleDOI

Nanofluidics: what is it and what can we expect from it?

TL;DR: In this paper, the present state of research in this field and possible directions of development are discussed, focusing on the very diverse background of nanofluidics in biology, chemistry, physics and engineering and valuable knowledge available in these disciplines.
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Directional motion of brownian particles induced by a periodic asymmetric potential

TL;DR: The behaviour of colloidal particles suspended in solution and exposed to a sawtooth dielectric potential which is turned on and off periodically is studied, suggesting applications in separation processes for objects in the size range 0.1–5 μm and the analogy between the device and motor protein assemblies is pointed out.
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Brownian motors

TL;DR: In this article, the authors present a proof-of-principle device, a diffusive temperature Brownian motor, which is particularly simple to implement experimentally in order to optimize and selectively control a rich variety of directed transport behaviors.
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.