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We consider a massive inelastic piston, whose opposite faces have different coefficients of restitution, moving under the action of an infinitely dilute gas of hard disks maintained at a fixed temperature. The dynamics of the piston is…

统计力学 · 物理学 2008-06-06 G. Costantini , U. Marini Bettolo Marconi , A. Puglisi

Nonergodic Brownian motion is elucidated within the framework of the generalized Langevin equation. For thermal noise yielding either a vanishing or a divergent zero-frequency friction strength, the non-Markovian Browninan dynamics exhibits…

统计力学 · 物理学 2007-05-23 Jing-Dong Bao , Yi-Zhong Zhuo , Fernando A. Oliveira , Peter Hänggi

The directed transport of an overdamped Brownian motor moving in a spatially periodic potential that lacks reflection symmetry (i.e. a ratchet potential) is studied when driven by thermal and dichotomic nonequilibrium noise in the presence…

软凝聚态物质 · 物理学 2008-08-05 Lukasz Machura , Jerzy Luczka , Peter Talkner , Peter Hänggi

This article studies typical dynamics and fluctuations for a slow-fast dynamical system perturbed by a small fractional Brownian noise. Based on an ergodic theorem with explicit rates of convergence, which may be of independent interest, we…

概率论 · 数学 2020-08-20 Solesne Bourguin , Siragan Gailus , Konstantinos Spiliopoulos

We study the noise induced transport of an overdamped Brownian particle in frictional ratchet systems in the presence of external Gaussian white noise fluctuations. The analytical expressions for current and diffusion coefficient are…

统计力学 · 物理学 2007-05-23 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

In order to optimize the directed motion of an inertial Brownian motor, we identify the operating conditions that both maximize the motor current and minimize its dispersion. Extensive numerical simulation of an inertial rocked ratchet…

统计力学 · 物理学 2009-11-11 Lukasz Machura , Marcin Kostur , Fabio Marchesoni , Peter Talkner , Peter Hänggi , Jerzy Luczka

The efficiency of different types of Brownian motors is calculated analytically and numerically. We find that motors based on flashing ratchets present a low efficiency and an unavoidable entropy production. On the other hand, a certain…

统计力学 · 物理学 2009-10-31 J. M. R. Parrondo , J. M. Blanco , F. J. Cao , R. Brito

We study a Brownian motor driven by a colored non Gaussian noise source with a $q$-dependent probability distribution, where $q$ is a parameter indicating the departure from Gaussianity. For $q=1$ the noise is Gaussian…

统计力学 · 物理学 2007-05-23 Sebastian Bouzat , Horacio S. Wio

The muscle contraction, operation of ATP synthase, maintaining the shape of a cell are believed to be secured by motor proteins, which can be modelled using the Brownian ratchet mechanism. We consider the randomly flashing ratchet model of…

经典分析与常微分方程 · 数学 2013-05-09 Dmitry Vorotnikov

We study transport properties of an inertial Brownian particle moving in viscous symmetric periodic structures and driven by an oscillating signal of two harmonic components. We analyze the influence of symmetric, antisymmetric and…

统计力学 · 物理学 2010-10-26 Lukasz Machura , Marcin Kostur , Jerzy Luczka

Brownian motors, or ratchets, are devices which "rectify" Brownian motion, i.e. they can generate a current of particles out of unbiased fluctuations. The ratchet effect is a very general phenomenon which applies to a wide range of physical…

统计力学 · 物理学 2011-12-06 F. Renzoni

The efficiency of energy transduction in a temporally asymmetric rocked ratchet is studied. Time asymmetry favours current in one direction and suppresses it in the opposite direction due to which large efficiency ~ 50% is readily obtained.…

统计力学 · 物理学 2009-07-13 Raishma Krishnan , Mangal C. Mahato , A. M. Jayannavar

The over-damped motion of a Brownian particle in an asymmetric, bistable, fluctuating potential shows noise induced stability: For intermediate fluctuation rates the mean occupancy of minima with an energy above the absolute minimum is…

统计力学 · 物理学 2009-10-31 Andreas Mielke

Brownian oscillator, i.e. a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the…

统计力学 · 物理学 2012-02-21 Lukas Glod , Gabriela Vasziova , Jana Tothova , Vladimir Lisy

In systems possessing spatial or dynamical symmetry breaking, Brownian motion combined with symmetric external input signals, deterministic or random, alike, can assist directed motion of particles at the submicron scales. In such cases,…

统计力学 · 物理学 2009-06-05 Peter Hanggi , Fabio Marchesoni

We present a study of transport of a Brownian particle moving in periodic symmetric potential in the presence of asymmetric unbiased fluctuations. The particle is considered to move in a medium with periodic space dependent friction. By…

生物物理 · 物理学 2007-05-23 Bao-Quan Ai , Xian-Ju Wang , Guo-Tao Liu , Hui-Zhang Xie , De-Hua Wen , Wei Chen , Liang-Gang Liu

Based on recent work [L. Machura, M. Kostur, P. Talkner, J. Luczka, and P. Hanggi, Phys. Rev. Lett. 98, 040601 (2007)], we extend the study of inertial Brownian motors to the case of an asymmetric potential. It is found that some transport…

统计力学 · 物理学 2009-11-13 Bao-quan Ai , Liang-gang Liu

We extend our previous studies on a counter-intuitive effect in which a directed transport of a free Brownian particle induced by active fluctuations can be significantly enhanced when the particle is placed in a periodic potential. It is…

统计力学 · 物理学 2023-10-05 Karol Białas , Jerzy Łuczka , Jakub Spiechowicz

We study the noise-induced currents and reliability or coherence of transport in two different classes of rocking ratchets. For this, we consider the motion of Brownian particles in the over damped limit in both adiabatic and non-adiabatic…

统计力学 · 物理学 2007-05-23 Soumen Roy , Debasis Dan , A. M. Jayannavar

The movement of a Brownian particle in a fluctuating two-state periodic potential is investigated. At high transition rate, we use a perturbation method to obtain the analytical solution of the model. It is found that the net current is a…

生物物理 · 物理学 2007-09-17 Bao-Quan Ai , Liqiu Wang , Liang-Gang Liu