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We give an exact solution to the generalized Langevin equation of motion of a charged Brownian particle in a uniform magnetic field that is driven internally by an exponentially-correlated stochastic force. A strong dissipation regime is…

统计力学 · 物理学 2008-02-13 Francis N. C. Paraan , Mikhail P. Solon , J. P. Esguerra

We study transport of an inertial Brownian particle moving in a symmetric and periodic one-dimensional potential, and subjected to both a symmetric, unbiased external harmonic force as well as biased dichotomic noise $\eta(t)$ also known as…

统计力学 · 物理学 2016-06-22 J. Spiechowicz , J. Luczka , L. Machura

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

Anomalous transport of non-Markovian, thermal Brownian particle dynamics in spatially-periodic symmetric systems that is driven by time-periodic symmetric driving and constant bias is investigated numerically. The Brownian dynamics is…

超导电性 · 物理学 2010-10-26 M. Kostur , J. Luczka , P. Hanggi

The properties of the thermal force driving micron particles in incompressible fluids are studied within the hydrodynamic theory of the Brownian motion. It is shown that the assumption used for the hydrodynamic Langevin equation in its…

统计力学 · 物理学 2012-10-16 Vladimir Lisy , Jana Tothova , Lukas Glod

The Brownian motion of microscopic particles is driven by the collisions with the molecules of the surrounding fluid. The noise associated with these collisions is not white, but coloured due, e.g., to the presence of hydrodynamic memory.…

统计力学 · 物理学 2012-10-04 Scott Hottovy , Giovanni Volpe , Jan Wehr

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

统计力学 · 物理学 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

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

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

A dynamics between Newton and Langevin formalisms is elucidated within the framework of the generalized Langevin equation. For thermal noise yielding a vanishing zero-frequency friction the corresponding non-Markovian Brownian dynamics…

统计力学 · 物理学 2007-07-23 Jing-Dong Bao , Yi-Zhong Zhuo , Fernando A. Oliveira , Peter Hanggi

The transport phenomenon (movement and diffusion) of inertia Brownian particles in a periodic potential with non-Gaussian noise is investigated. It is found that proper noise intensity Q will promote particles directional movement(or…

统计力学 · 物理学 2019-02-20 Bing Wang , Xiaoxiao Zhang , Yajuan Sun , Zhongwei Qu , Xuechao Li

Directed transport of overdamped Brownian particles driven by fractional Gaussian noises is investigated in asymmetrically periodic potentials. By using Langevin dynamics simulations, we find that rectified currents occur in the absence of…

统计力学 · 物理学 2015-05-20 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

We revisit the problem of transport of a harmonically driven inertial particle moving in a {\it symmetric} periodic potential, subjected to {\it unbiased} non-equilibrium generalized white Poissonian noise and coupled to thermal bath.…

统计力学 · 物理学 2016-06-01 J. Spiechowicz , J. Luczka

We discuss the dynamics of a Brownian particle under the influence of a spatially periodic noise strength in one dimension using analytical theory and computer simulations. In the absence of a deterministic force, the Langevin equation can…

统计力学 · 物理学 2022-01-28 Davide Breoni , Ralf Blossey , Hartmut Löwen

The directed transport of Brownian particles requires a system with an asymmetry and with non-equilibrium noise. We here investigate numerically alternative ways of fulfilling these requirements for a two-state Brownian motor, realised with…

统计力学 · 物理学 2015-03-17 H. Hagman , M. Zelan , C. M. Dion

We study the coherence of transport of an overdamped Brownian particle in frictional ratchet system in the presence of external Gaussian white noise fluctuations. The analytical expressions for the particle velocity and diffusion…

统计力学 · 物理学 2009-11-11 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

We study diffusion properties of an inertial Brownian motor moving on a ratchet substrate, i.e. a periodic structure with broken reflection symmetry. The motor is driven by an unbiased time-periodic symmetric force which takes the system…

统计力学 · 物理学 2021-03-25 Jakub Spiechowicz , Marcin Kostur , Jerzy Łuczka

A novel transport phenomenon is identified that is induced by inertial Brownian particles which move in simple one-dimensional, symmetric periodic potentials under the influence of both a time periodic and a constant, biasing driving force.…

软凝聚态物质 · 物理学 2007-06-13 L. Machura , M. Kostur , P. Talkner , J. Luczka , P. Hanggi

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

The motion of a quantum particle hopping on a simple cubic lattice under the influence of thermal noise and of a static random potential is expected to be diffusive, i.e., the particle is expected to exhibit `quantum Brownian motion', no…

数学物理 · 物理学 2017-09-22 Jürg Fröhlich , Jeffrey Schenker
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