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Statistical properties of Brownian motion that arise by analyzing, separately, trajectories over which the system energy increases (upside) or decreases (downside) with respect to a threshold energy level, are derived. This selective…

Statistical Mechanics · Physics 2019-08-02 Galen T. Craven , Abraham Nitzan

Quantum Brownian motion in a periodic cosine potential is studied and a simple estimate of the tunneling effect is obtained in the frames of a quasi-equilibrium semiclassical approach. It is shown that the latter is applicable for heavy…

Quantum Physics · Physics 2012-01-19 R. Tsekov

We describe a two-dimensional model for active particles whose self-propulsion speed is not fixed, but varies in time, and whose motion is subject to both translational and rotational diffusion. In the conventional treatment of active…

Soft Condensed Matter · Physics 2025-10-01 Tayeb Jamali

Brownian motion in a granular gas in a homogeneous cooling state is studied theoretically and by means of molecular dynamics. We use the simplest first-principle model for the impact-velocity dependent restitution coefficient, as it follows…

Statistical Mechanics · Physics 2015-06-11 Anna Bodrova , Awadhesh Kumar Dubey , Sanjay Puri , Nikolai Brilliantov

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.…

Statistical Mechanics · Physics 2012-10-04 Scott Hottovy , Giovanni Volpe , Jan Wehr

In this work, we focus on the behavior of a single passive Brownian particle in a suspension of passive particles with short-range repulsive interactions and a larger self-diffusion coefficient. While the forces affecting the…

Statistical Mechanics · Physics 2023-04-26 Deborah Schwarcz , Stanislav Burov

We study the dynamics of a Brownian particle in a strongly correlated quenched random potential defined as a periodically-extended (with period $L$) finite trajectory of a fractional Brownian motion with arbitrary Hurst exponent $H \in…

Statistical Mechanics · Physics 2014-09-01 David S. Dean , Shamik Gupta , Gleb Oshanin , Alberto Rosso , Gregory Schehr

Diffusion behavior of Brownian particles in confined spaces was studied for the displacements notably shorter than the confinement size. The confinements, resembling structure of porous solids, were modeled using a spatially-varying…

Disordered Systems and Neural Networks · Physics 2016-11-24 Daniel Schneider , Rustem Valiullin , Nail Fatkullin

By making use of a non-perturbative definition of a momentum diffusion coefficient as well as Heavy Meson Chiral Perturbation Theory, we investigate the Brownian motion and kinetic equilibration of heavy quark flavours deep in the confined…

High Energy Physics - Phenomenology · Physics 2015-05-27 M. Laine

The transport of a dimer, consisting of two Brownian particles bounded by a harmonic potential, moving on a periodic substrate is investigated both numerically and analytically. The mobility and diffusion of the dimer center of mass present…

Statistical Mechanics · Physics 2008-08-03 E. Heinsalu , M. Patriarca , F. Marchesoni

Thermophoresis is a transport phenomenon induced by a temperature gradient. Very small objects dispersed in a fluid medium and in a temperature gradient present a non homogeneous steady density. Analysing this phenomenon within the…

Statistical Mechanics · Physics 2022-01-25 J. M. Sancho

The Ludwig-Soret effect, the migration of a species due to a temperature gradient, has been extensively studied without a complete picture of its cause emerging. Here we investigate the dynamics of DNA and spherical particles sub jected to…

Materials Science · Physics 2009-11-13 Jennifer Kreft , Yeng-Long Chen

We study the dynamics of an overdamped Brownian particle in a thermal bath that contains a dilute solution of active particles. The particle moves in a harmonic potential and experiences Poisson shot-noise kicks with specified amplitude…

Statistical Mechanics · Physics 2024-07-18 Costantino Di Bello , Rita Majumdar , Rahul Marathe , Ralf Metzler , Edgar Roldan

Simultaneous diffusive and inertial motion of Brownian particles in laminar Couette flow is investigated via Lagrangian and Eulerian descriptions to determine the effect of particle inertia on diffusive transport in the long-time. The…

Statistical Mechanics · Physics 2010-08-13 Yannis Drossinos , Michael W. Reeks

The spreading of a cloud of independent Brownian particles typically proceeds more effectively at higher temperatures, as it derives from the commonly known Sutherland-Einstein relation for systems in thermal equilibrium. Here, we report on…

Statistical Mechanics · Physics 2017-09-20 Jakub Spiechowicz , Peter Talkner , Peter Hänggi , Jerzy Łuczka

The propagation of light in a scattering medium is described as the motion of a special kind of a Brownian particle on which the fluctuating forces act only perpendicular to its velocity. This enforces strictly and dynamically the…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. Anantha Ramakrishna , N. Kumar

Although the dynamics of colloids in the vicinity of a solid interface has been widely characterized in the past, experimental studies of Brownian diffusion close to an air-water interface are rare and limited to particle-interface gap…

Soft Condensed Matter · Physics 2022-11-11 Stefano Villa , Christophe Blanc , Abdallah Daddi-Moussa-Ider , Antonio Stocco , Maurizio Nobili

We study far from equilibrium transport of a periodically driven inertial Brownian particle moving in a periodic potential. As detected recently for a SQUID ratchet dynamics (Spiechowicz J. & Luczka J. Phys. Rev. E 91, 062104 (2015)), the…

Statistical Mechanics · Physics 2016-12-07 Jakub Spiechowicz , Peter Hänggi , Jerzy Łuczka

We consider the two dimensional motion of a particle into a confining potential, subjected to Brownian forces, associated with two different temperatures on the orthogonal directions. Exact solutions are obtained for an asymmetric harmonic…

Statistical Mechanics · Physics 2018-05-23 Vincent Mancois , Bruno Marcos , Pascal Viot , David Wilkowski

Diffusion coefficient usually decreases when friction increases. We analyze the opposite behavior in the paradigmatic system consisting of an inertial Brownian particle moving in a symmetric spatially periodic potential and driven by an…

Statistical Mechanics · Physics 2025-03-31 I. G. Marchenko , I. I. Marchenko , V. Aksenova , J. Łuczka , J. Spiechowicz