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Active matter exhibits many intriguing non-equilibrium character, \emph{e.g.}, the active Brownian particles (ABP) without any attractive and aligned interactions can occur the mobility-induced phase transition to form some dense domains…

软凝聚态物质 · 物理学 2023-05-24 Cheng Yang , Ying Zeng , Shun Xu , Xin Zhou

Brownian motion near soft surfaces is a situation widely encountered in nanoscale and biological physics. However, a complete theoretical description is lacking to date. Here, we theoretically investigate the dynamics of a two-dimensional…

软凝聚态物质 · 物理学 2025-10-01 Yilin Ye , Yacine Amarouchene , Raphaël Sarfati , David S. Dean , Thomas Salez

Experimental realizations of self-propelled colloidal Janus particles exploit the conversion of free energy into directed motion. One route are phoretic mechanisms that can be modeled schematically as the interconversion of two chemical…

统计力学 · 物理学 2019-09-04 Thomas Speck

We study the one-dimensional motion of a Brownian particle inside a confinement described by two reactive boundaries which can partially reflect or absorb the particle. Understanding the effects of such boundaries is important in physics,…

统计力学 · 物理学 2021-03-30 Arnab Pal , Isaac Pérez Castillo , Anupam Kundu

Thermodynamic and quantum thermodynamic analyses of Brownian movement of a solvent and a colloid passing through neutral thermodynamic equilibrium states only. It is shown that Brownian motors and E. coli do not represent Brownian movement.

量子物理 · 物理学 2007-05-23 Elias P. Gyftopoulos

We investigate the transport of Brownian particles in a two-dimensional potential under the action of a uniform external force. The potential is periodic in one direction and confines the particle to a narrow channel of varying…

统计力学 · 物理学 2016-05-04 Xinli Wang , German Drazer

By considering an ensemble of Brownian particles suspended in a heat bath as a thermodynamic system with an internal degree of freedom it is possible to obtain the Fokker-Planck equation for Brownian motion in a temperature gradient, by…

凝聚态物理 · 物理学 2007-05-23 A. Perez-Madrid , J. M. Rubi , P. Mazur

We study the one-dimensional ballistic aggregation process in the continuum limit for one-sided Brownian initial velocity (i.e. particles merge when they collide and move freely between collisions, and in the continuum limit the initial…

统计力学 · 物理学 2009-11-13 Patrick Valageas

The fluctuation-dissipation theorem is a central theorem in nonequilibrium statistical mechanics by which the evolution of velocity fluctuations of the Brownian particle under a fluctuating environment is intimately related to its…

统计力学 · 物理学 2015-05-14 Jen-Tsung Hsiang , Tai-Hung Wu , Da-Shin Lee

Combining experiments on active colloids, whose propulsion velocity can be controlled via a feedback loop, and theory of active Brownian motion, we explore the dynamics of an overdamped active particle with a motility that depends…

A particle diffusing around a point of stable mechanical equilibrium in a static but non-conservative force field enters into a steady state characterized by circulation in the probability flux. Circulation in such a Brownian vortex is not…

软凝聚态物质 · 物理学 2009-03-17 Bo Sun , Jiayi Lin , Ellis Darby , Alexander Y. Grosberg , David G. Grier

The transport of interacting Brownian particles in a periodic asymmetric (ratchet) substrate is studied numerically. In a zero-temperature regime, the system behaves as a reversible step motor, undergoing multiple sign reversals of the…

统计力学 · 物理学 2008-12-31 Rogério M. da Silva , Clécio C. de Souza Silva , Sérgio Coutinho

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

Large scale simulations and analytical theory have been combined to obtain the non-equilibrium velocity distribution, $f(v)$, of randomly accelerated particles in suspension. The simulations are based on an event-driven algorithm,…

统计力学 · 物理学 2013-09-09 Andrea Fiege , Benjamin Vollmayr-Lee , Annette Zippelius

Transport phenomena in spatially periodic systems far from thermal equilibrium are considered. The main emphasize is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal…

统计力学 · 物理学 2009-10-31 Peter Reimann

The motion of a Brownian particle in the presence of Coulomb friction and an asymmetric spatial potential was evaluated in this study. The system exhibits a ratchet effect, i.e., an average directed motion even in the absence of an external…

We derive explicit forms of Markovian transition probability densities for the velocity space and phase-space Brownian motion of a charged particle in a constant magnetic field.

统计力学 · 物理学 2007-05-23 R. Czopnik , P. Garbaczewski

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

Diffusion and rectification of Brownian particles powered by a rotating wheel are numerically investigated in a two-dimensional channel. The nonequilibrium driving comes from the rotating wheel, which can break thermodynamical equilibrium…

统计力学 · 物理学 2017-07-24 Bao-quan Ai

The Brownian motion of a point particle induced by quantum vacuum fluctuations of a massless real scalar field in Einstein's universe is studied. By assuming the small displacement condition, the dispersion in the momentum and position of a…

广义相对论与量子宇宙学 · 物理学 2024-04-09 E. J. B. Ferreira , H. F. Santana Mota