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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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Excursions in Statistical Dynamics
TL;DR: In this paper, the transition path sampling method is adapted to the efficient sampling of large fluctuations in nonequilibrium systems evolving according to Langevin's equations of motion, which are then used to study the behavior of the Maier-Stein system.
Journal ArticleDOI
A Simplified ``Ratchet'' Model of Molecular Motors
Anatoly B. Kolomeisky,B. Widom +1 more
TL;DR: In this paper, a special case of Derrida's periodic one-dimensional hopping model is analyzed, where drift velocity and diffusion coefficient are obtained in terms of the microscopic transition rates that are the parameters in the model.
Journal ArticleDOI
Concerted orientation induced unidirectional water transport through nanochannels.
TL;DR: It is found that this unique special-directional water transportation resulted from the asymmetric potential of water-water interaction along the nanochannel, which originated from the concerted dipole orientation of the water molecules that breaks the symmetry of water orientation distribution along the channel within a finite time period.
Journal ArticleDOI
Activated escape of periodically driven systems
Mark Dykman,B. Golding,L. I. McCann,Vadim Smelyanskiy,Dmitry G. Luchinsky,Riccardo Mannella,Peter V. E. McClintock +6 more
TL;DR: In this article, an explicit expression for the escape probability of an overdamped Brownian particle is presented and shown to be in quantitative agreement with the simulations, and experiments are performed on a particle optically trapped in a double-well potential.
Journal ArticleDOI
Diffusion in discrete ratchets
TL;DR: A four-state model for uphill transmembrane transport through a series of discrete states is considered and theoretical results with existing data from a related experiment are compared.
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.