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We study an inertial Brownian particle moving in a symmetric periodic substrate, driven by a zero-mean biharmonic force and correlated thermal noise. The Brownian motion is described in terms of a Generalized Langevin Equation with an…

统计力学 · 物理学 2010-10-19 Lukasz Machura , Jerzy Luczka

We discuss the random motion of charged test particles driven by quantum electromagnetic fluctuations at finite temperature in both the unbounded flat space and flat spacetime with a reflecting boundary and calculate the mean squared…

高能物理 - 理论 · 物理学 2007-05-23 Hongwei Yu , Jun Chen , Puxun Wu

We consider a system of interacting Brownian particles in R^d with a pairwise potential, which is radially symmetric, of finite range and attains a unique minimum when the distance of two particles becomes a>0. The asymptotic behavior of…

概率论 · 数学 2016-09-07 Tadahisa Funaki

We study the Brownian motion of a charged test particle coupled to electromagnetic vacuum fluctuations near a perfectly reflecting plane boundary. The presence of the boundary modifies the quantum fluctuations of the electric field, which…

量子物理 · 物理学 2007-05-23 Hongwei Yu , L. H. Ford

We research the transport properties of inertial Brownian particles which move in a symmetric periodic potential and are subjected to both a symmetric, unbiased time-periodic external force and biased Poissonian white shot noise (of…

统计力学 · 物理学 2015-06-12 J. Spiechowicz , J. Luczka , P. Hanggi

The dynamical friction and diffusion coefficients are derived for a massive binary that moves against a uniform background of stars. The random impulses exerted on the binary's center of mass by the field stars are greater than those…

天体物理学 · 物理学 2009-10-31 David Merritt

In this manuscript, we consider the case where a Brownian particle is subject to a static periodic potential and is driven by a constant force. We derive analytic formulas for the average velocity and the effective diffusion.

偏微分方程分析 · 数学 2007-05-23 Hongyun Wang

We consider the collective motion of finite-sized, overdamped Brownian particles (e.g., motor proteins) in a periodic potential. Simulations of our model have revealed a number of novel cooperative transport phenomena, including (i) the…

统计力学 · 物理学 2009-10-31 Imre Derenyi , Tamas Vicsek

We derive a model that describes the motion of a Brownian particle in a system which is dominated by gravitational forces. An example of such a system is a massive black hole immersed in a cluster of stars. We compute the dispersion in the…

天体物理学 · 物理学 2009-11-07 Pinaki Chatterjee , Lars Hernquist , Abraham Loeb

Brownian motion of a particle with an arbitrary shape is investigated theoretically. Analytical expressions for the time-dependent cross-correlations of the Brownian translational and rotational displacements are derived from the…

统计力学 · 物理学 2015-02-13 Bodan Cichocki , Maria L. Ekiel-Jezewska , Eligiusz Wajnryb

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

In this work, we study a system of passive Brownian (non-self-propelled) particles in two dimensions, interacting only through a social-like force (velocity alignment in this case) that resembles Kuramoto's coupling among phase oscillators.…

统计力学 · 物理学 2015-04-13 Francisco J. Sevilla , Victor Dossetti , Alexandro Heiblum-Robles

By studying a system of Brownian particles, interacting only through a local social-like force (velocity alignment), we show that self-propulsion is not a necessary feature for the flocking transition to take place as long as underdamped…

统计力学 · 物理学 2015-07-31 Victor Dossetti , Francisco J. Sevilla

We derive a general quantum formula giving the mean-square displacement of a diffusing particle as a function of time. Near {\bf 0 K} we find a universal logarithmic behavior (valid for times longer than the relaxation time), and deviations…

统计力学 · 物理学 2009-11-11 Supurna Sinha , Rafael D. Sorkin

We study the Quantum Brownian motion of a charged particle moving in a harmonic potential in the presence of an uniform external magnetic field and linearly coupled to an Ohmic bath through momentum variables. We analyse the growth of the…

统计力学 · 物理学 2022-08-31 Suraka Bhattacharjee , Urbashi Satpathi , Supurna Sinha

We show that Brownian motion is spatially not symmetric for mesoscopic particles embedded in a fluid if the particle is not in thermal equilibrium and its shape is not spherical. In view of applications on molecular motors in biological…

软凝聚态物质 · 物理学 2009-11-13 Susan Sporer , Christian Goll , Klaus Mecke

We consider a quantum particle subject to Ohmic dissipation, moving in a bichromatic quasiperiodic potential. In a periodic potential the particle undergoes a zero-temperature localization-delocalization transition as dissipation strength…

量子气体 · 物理学 2019-08-14 Aaron J Friedman , Romain Vasseur , Austen Lamacraft , S. A. Parameswaran

We discuss an autonomous motor based on a Brownian particle driven from thermal equilibrium by periodic in time variation of the internal potential through which the particle interacts with molecules of the surrounding thermal bath. We…

统计力学 · 物理学 2015-06-23 A. V. Plyukhin

A Brownian Motor is a nanoscale or molecular device that combines the effects of thermal noise, spatial or temporal asymmetry, and directionless input energy to drive directed motion. Because of the input energy, Brownian motors function…

统计力学 · 物理学 2009-11-13 R. Dean Astumian

Brownian motion of particle interacting with atoms of ideal gas is discussed as a key problem of kinetics lying at the border between ``dead'' systems like the Lorentz gas or formal constructs of conceptual Boltzmannian kinetics and actual…

统计力学 · 物理学 2008-06-26 Yuriy E. Kuzovlev