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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L\'evy noise-driven escape from arctan potential wells.
TL;DR: In this article, the authors study the problem of Levy noise-driven escape from an almost rectangular, arctan potential well restricted by two absorbing boundaries, and reveal analogies of the observed transient dynamics to the general properties of stationary states of L{evy processes in single-well potentials.
Journal ArticleDOI
Deterministic ratchets, circle maps, and current reversals
TL;DR: It is shown that there is a class of periodic potentials which do not exhibit the rectification phenomenon in spite of their asymmetry, and that current reversals occur in the deterministic case for a large class of ratchet potentials.
Journal ArticleDOI
Effect of the number of molecules on the energetic efficiency in molecular motors using the Flashing Ratchet model
Kazunari Mouri,Tetsuya Shimokawa +1 more
TL;DR: In this paper, the authors analyzed the Fokker-planck equation and the Langevin equation of the N-motor model and derived the velocity, efficiency, and dissipation rates of the model.
Journal ArticleDOI
Computer simulation of Feynman's ratchet and pawl system
TL;DR: Molecular dynamics is carried out to simulate the two designs for Feynman's ratchet and pawl systems followed by a Langevin dynamics simulation of the reduced system, and it is found that the ratchet will rotate as designed when the temperature of the pawl chamber is lower than that of theRatchet chamber, which is consistent with the second law of thermodynamics.
Journal ArticleDOI
Ratchet-induced variations in bulk states of an active ideal gas
Jeroen Rodenburg,Siddharth Paliwal,Marjolein de Jager,Peter G. Bolhuis,Marjolein Dijkstra,René van Roij +5 more
TL;DR: It is shown that the ratchet potential affects the distribution of particles over the bulks and thus exerts an influence of infinitely long range, and an external potential that is nonlinear is crucial for having such a long-range influence.
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.