Journal ArticleDOI
Forced thermal ratchets.
Reads0
Chats0
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.read more
Citations
More filters
Journal ArticleDOI
Dissipation and transport dynamics in a ratchet coupled to a discrete bath
Jane Rosa,Marcus W. Beims +1 more
TL;DR: The hopping probability along the ratchet and the energy decay rates for the system are shown to obey the power law for late times, a behavior typical of discrete baths which for low and intermediate values of N always induce a non-Markovian process.
Journal ArticleDOI
Negative mobility of a Brownian particle: Strong damping regime
TL;DR: In this paper, the impact of inertia on directed transport of a Brownian particle under non-equilibrium conditions is studied, where the particle moves in a one-dimensional periodic and symmetric potential, is driven by both an unbiased time-periodic force and a constant force, and is coupled to a thermostat of temperature T.
Journal ArticleDOI
Noise-induced transport in a rough ratchet potential
TL;DR: The overdamped Brownian dynamics in a one-dimensional periodic and rough ratchet potential with respect to the amplitude of the roughness and an external nonequilibrium, nonthermal driving force is extended.
Journal ArticleDOI
Adiabatic Theory for Fluctuation-Induced Transport on a Periodic Potential
TL;DR: In this paper, a model for fluctuation driven transport based on a rate theory approach is presented, where simple equations for the flow and efficiency of transport as functions of the fluctuation frequency and of the magnitude of an externally applied force are obtained.
Journal ArticleDOI
Absolute transverse mobility and ratchet effect on periodic two-dimensional symmetric substrates.
TL;DR: A simple model of an overdamped particle moving on a two-dimensional symmetric periodic substrate with a dc drive in the longitudinal direction and additional ac drives in both the longitudinal and transverse directions finds that a finite longitudinal dc force produces a net dc response only in the transverse direction.
References
More filters
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.