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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Dichotomous markov noise: exact results for out-of-equilibrium systems
TL;DR: In particular, it has escaped attention until recently that the standard results for the long-time properties of such systems cannot be applied when unstable fixed points are crossed in the asymptotic regime as discussed by the authors.
Journal ArticleDOI
Non-Markovian stochastic processes: colored noise.
TL;DR: This work surveys classical non-Markovian processes driven by thermal equilibrium or nonequilibrium (nonthermal) colored noise and reviews methods of analysis of one-dimensional systems driven by Ornstein-Uhlenbeck noise.
Journal ArticleDOI
Statistical mechanics of active Ornstein-Uhlenbeck particles
David Martin,Jérémy O'Byrne,Michael E. Cates,Étienne Fodor,Étienne Fodor,Cesare Nardini,Cesare Nardini,Julien Tailleur,Frédéric van Wijland +8 more
TL;DR: This work describes both the instability mechanism leading to phase separation and the resulting phase coexistence of active Ornstein-Uhlenbeck particles, and probes how, in the stationary state, AOUPs depart from their thermal equilibrium limit by investigating the emergence of ratchet currents and entropy production.
Journal ArticleDOI
Brownian ratchets and Parrondo's games.
TL;DR: The combination of Parrondo's games can be therefore considered as a discrete-time Brownian ratchet, and the parameter space in which the paradoxical effect occurs is found and the winning rate analysis is carried out.
Journal ArticleDOI
Directed transport of active particles over asymmetric energy barriers.
TL;DR: It is shown that it is possible to introduce a generalized effective temperature that is related to the local variance of particle velocities and the stationary probability distributions can be derived from a simple diffusion equation in the presence of an inhomogeneous effective temperature resulting from the action of external force fields.
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.