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Rectified transport of active ellipsoidal particles is numerically investigated in a two-dimensional asymmetric potential. The out-of-equilibrium condition for the active particle is an intrinsic property, which can break thermodynamical…

Soft Condensed Matter · Physics 2015-05-12 Bao-quan Ai , Jian-chun Wu

We consider classical particles coupled to the quantized electromagnetic field in the background of a spatially flat Robertson-Walker universe. We find that these particles typically undergo Brownian motion and acquire a non-zero mean…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Carlos H. G. Bessa , Valdir B. Bezerra , L. H. Ford

The indefinite integral of the homogenized Ornstein-Uhlenbeck process is a well-known model for physical Brownian motion, modelling the behaviour of an object subject to random impulses [L. S. Ornstein, G. E. Uhlenbeck: On the theory of…

Probability · Mathematics 2013-02-12 Peter Friz , Paul Gassiat , Terry Lyons

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.…

Statistical Mechanics · Physics 2015-04-13 Francisco J. Sevilla , Victor Dossetti , Alexandro Heiblum-Robles

The classical theory of Brownian dynamics follows from coarse-graining the underlying linearized fluctuating hydrodynamics of the solvent. We extend this procedure to globally non-isothermal conditions, requiring only a local thermal…

Statistical Mechanics · Physics 2016-04-06 G. Falasco , K. Kroy

We study the long-range asymptotic behavior for an out-of-equilibrium countable one-dimensional system of Brownian particles interacting through their rank-dependent drifts. Focusing on the semi-infinite case, where only the leftmost…

Probability · Mathematics 2017-08-10 Manuel Cabezas , Amir Dembo , Andrey Sarantsev , Vladas Sidoravicius

The Brownian motion of a test particle interacting with a quantum scalar field in the presence of a perfectly reflecting boundary is studied in (1 + 1)-dimensional flat spacetime. Particularly, the expressions for dispersions in velocity…

Quantum Physics · Physics 2014-09-02 V. A. De Lorenci , E. S. Moreira , M. M. Silva

In this paper, the first microscopic approach to the Brownian motion is developed in the case where the mass density of the suspending bath is of the same order of magnitude as that of the Brownian (B) particle. Starting from an extended…

Condensed Matter · Physics 2009-10-28 Lydéric Bocquet , Jarosław Piasecki

Recently, dispersionless (coherent) motion of (noninteracting) massive Brownian particles, at intermediate time scales, was reported in a sinusoidal potential with a constant tilt. The coherent motion persists for a finite length of time…

Statistical Mechanics · Physics 2015-05-13 S. Saikia , Mangal C. Mahato

Self-propelled particles move along circles rather than along a straight line when their driving force does not coincide with their propagation direction. Examples include confined bacteria and spermatozoa, catalytically driven nanorods,…

Soft Condensed Matter · Physics 2008-08-18 Sven van Teeffelen , Hartmut Löwen

We measured the overall motion of Brownian particles suspended in water by a self-mixing thin-slice solid-state laser with extreme optical sensitivity. From the demodulated signal of laser intensity fluctuations through self-mixing…

The Brownian motion of a harmonically bound quantum particle and coupled to a harmonic quantum bath is exactly solvable. At low enough temperatures the stationary state is non-Gibbsian due to an entanglement with the bath. This happens when…

Statistical Mechanics · Physics 2009-11-07 Theo M. Nieuwenhuizen , Armen E. Allahverdyan

A non-equilibrium steady state can be characterized by a nonzero but stationary flux driven by a static external force. Under a weak external force, the drift velocity is difficult to detect because the drift motion is feeble and submerged…

Statistical Mechanics · Physics 2015-06-22 Rui Shi , Yanting Wang

We show by numerical simulations that a non rotationally symmetric body, whose orientation is fixed and whose center of mass can only slide along a rectilinear guide, under the effect of inelastic collisions with a surrounding gas of…

Statistical Mechanics · Physics 2007-07-17 Giulio Costantini , Umberto Marini Bettolo Marconi , Andrea Puglisi

Many studies on microscopic systems deal with Brownian particles embedded in media whose densities are different from that of the particles, causing them either to sink or float. The proximity to a wall modifies the friction force the…

Classical Physics · Physics 2011-08-17 Silvana Palacios , Victor Romero-Rochin , Karen Volke-Sepulveda

A Brownian particle in an ideal quantum gas is considered. The mean square displacement (MSD) is derived. The Bose-Einstein or Fermi-Dirac distribution, other than the Maxwell-Boltzmann distribution, provides a different stochastic force…

Statistical Mechanics · Physics 2020-03-12 Chi-Chun Zhou , Ping Zhang , Wu-Sheng Dai

We use Stokesian Dynamics simulations to study the microscopic motion of particles suspended in fluids passing through porous media. We construct model porous media with fixed spherical particles, and allow mobile ones to move through this…

Disordered Systems and Neural Networks · Physics 2009-10-31 Jysoo Lee , Joel Koplik

We consider the motion of an underdamped Brownian particle in a tilted periodic potential in a wide temperature range. Based on the previous data [1] and the new simulation results we show that the underdamped motion of particles in…

Statistical Mechanics · Physics 2013-07-17 I. G. Marchenko , I. I. Marchenko , A. V. Zhiglo

Real thermal motion of gas molecules, free electrons, etc., at long time intervals (much greater than mean free-flight time) possesses, contrary to its popular mathematical models, essentially non-Gaussian statistics. A simple proof of this…

Statistical Mechanics · Physics 2007-10-23 Yuriy E. Kuzovlev

We set up a mesoscopic theory for interacting Brownian particles embedded in a nonequilibrium environment, starting from the microscopic interacting many-body theory. Using nonequilibrium linear response theory, we characterize the…

Statistical Mechanics · Physics 2017-01-04 Stefano Steffenoni , Klaus Kroy , Gianmaria Falasco