Journal ArticleDOI
Forced thermal ratchets.
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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.read more
Citations
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Artificial Surface-Mounted Molecular Rotors: Molecular Dynamics Simulations†
TL;DR: The development of artificial surface-mounted molecular rotors has benefited from theoretical guidance by molecular dynamics simulations as discussed by the authors, and the present understanding of the way in which these simple molecular machines operate is reviewed.
Journal ArticleDOI
Feynman's ratchet optimization: maximum power and maximum efficiency regimes
TL;DR: In this paper, the optimal performance of the Feynman ratchet-and-pawl engine is analyzed by taking the power and the efficiency of the engine as objective functions.
Journal ArticleDOI
Motor protein mechanics: a stochastic model with minimal mechanochemical coupling.
Thomas Duke,Stanislas Leibler +1 more
TL;DR: The predictions of the model are found to be in agreement with experimentally measured force-velocity relationships for kinesin-both when the force is applied externally and when the enzyme is loaded by a viscous drag.
Journal ArticleDOI
Rotary DNA motors.
TL;DR: A model for how molecular motors move unidirectionally along a DNA strand powered by nucleotide hydrolysis is presented and it is shown that the motor can be driven by an ion gradient and may apply as well to the bacterial flagellar motor and to ATP synthase.
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Stochastic energetics of non-uniform temperature systems
Miki Matsuo,Shin-ichi Sasa +1 more
TL;DR: In this article, an energetic interpretation of stochastic processes described by Langevin equations with non-uniform temperature was proposed, and a proper definition of heat for the system was given.
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
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.