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The purpose of this paper is to examine the Lagrangian stochastic modeling of the fluid velocity seen by inertial particles in a nonhomogeneous turbulent flow. A new Langevin-type model, compatible with the transport equation of the drift…

Fluid Dynamics · Physics 2009-07-01 Boris Arcen , Anne Tanière

We study the dynamical properties of an active particle subject to a swimming speed explicitly depending on the particle position. The oscillating spatial profile of the swim velocity considered in this paper takes inspiration from…

Soft Condensed Matter · Physics 2022-03-15 Lorenzo Caprini , Umberto Marini Bettolo Marconi , René Wittmann , Hartmut Löwen

A theory for non-equilibrium systems is derived from a maximum entropy approach similar in spirit to the equilibrium theory given by Gibbs. Requiring Hamilton's principle of stationary action to be satisfied on average during a trajectory,…

Statistical Mechanics · Physics 2019-02-04 David M. Rogers , Susan B. Rempe

We study the single-particle distributions of three-dimensional hard sphere gas described by the Boltzmann equation. We focus on the steady homogeneous isotropic solutions in thermodynamically open conditions, i.e. in the presence of…

Chaotic Dynamics · Physics 2011-10-10 Davide Proment , Sergey Nazarenko , Pietro Asinari , Miguel Onorato

We calculate the steady state distribution $P_{\text{SSD}}(\boldsymbol{X})$ of the position of a Brownian particle under an intermittent confining potential that switches on and off with a constant rate $\gamma$. We assume the external…

Statistical Mechanics · Physics 2025-04-08 Soheli Mukherjee , Naftali R. Smith

We investigate a motion of a colloid in a harmonic trap driven out of equilibrium by an external non-conservative force producing a torque in the presence of a uniform magnetic field. We find that steady state exists only for a proper range…

Statistical Mechanics · Physics 2019-06-05 Sangyun Lee , Chulan Kwon

We present a microscopic derivation of the laws of continuum mechanics of nonideal ordered solids including dissipation, defect diffusion, and heat transport. Starting point is the classical many-body Hamiltonian. The approach relies on the…

Statistical Mechanics · Physics 2022-11-23 Florian Miserez , Saswati Ganguly , Rudolf Haussmann , Matthias Fuchs

We investigate the properties of the nonequilibrium steady state for the stochastic system driven by a nonlinear drift force and influenced by noises which are not identically and independently distributed. The nonequilibrium steady state…

Statistical Mechanics · Physics 2013-05-29 Chulan Kwon , Ping Ao

We propose a stochastic model for intracellular transport processes associated with the activity of molecular motors. This out-of-equilibrium model, based on a generalized Langevin equation, considers a particle immersed in a viscoelastic…

Biological Physics · Physics 2009-04-15 L. Bruno , M. A. Despósito

We numerically study the dynamics of cold atoms in a two-dimensional disordered potential. We consider an anisotropic speckle potential and focus on the classical regime, which is relevant to some recent experiments. First, we study the…

The electron kinetics in moving and standing striations in direct current and radio-frequency discharges is studied. The discharge current is such that the thermalizing electron-electron collisions are negligible and the hydrodynamic…

Plasma Physics · Physics 2021-02-03 Dmitry Levko

We introduce a simple nonequilibrium model for a driven diffusive system with nonconservative reaction kinetics which exhibits ergodicity breaking and hysteresis in one dimension. These phenomena can be understood through a description of…

Statistical Mechanics · Physics 2009-11-10 A. Rakos , M. Paessens , G. M. Schuetz

We investigate transport properties of one-dimensional fermionic tight binding models featuring nearest and next-nearest neighbor hopping, where the fermions are additionally subject to a weak short range mutual interaction. To this end we…

Quantum Gases · Physics 2015-06-04 Christian Bartsch , Jochen Gemmer

Recent computer simulation results [Barrat {\em et al.}, Physica A 334 (2004) 513] for granular mixtures subject to stochastic driving have shown the validity of the Einstein relation $\epsilon\equiv D/(T_0\lambda)=1$ between the diffusion…

Statistical Mechanics · Physics 2009-11-10 Vicente Garzo

Based on classical transport theory, we present a general set of covariant equations describing the dynamics of mean fields and their statistical fluctuations in a non-Abelian plasma in or out-of-equilibrium. A procedure to obtain the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Daniel F. Litim , Cristina Manuel

We study the diffusion of a tracer particle driven out-of-equilibrium by an external force and traveling in a dense environment of arbitrary density. The system evolves on a discrete lattice and its stochastic dynamics is described by a…

Statistical Mechanics · Physics 2018-05-23 Pierre Illien , Olivier Bénichou , Gleb Oshanin , Alessandro Sarracino , Raphaël Voituriez

Boltzmann equation describes the time development of the velocity distribution in the continuum fluid matter. We formulate the equation using the field theory where the {\it velocity-field} plays the central role. The properties of the…

High Energy Physics - Theory · Physics 2015-11-17 Shoichi Ichinose

We investigate the hydrodynamic properties of a fluid simulated with a mesoscopic solvent model. Two distinct regimes are identified, the `particle regime' in which the dynamics is gas-like, and the `collective regime' where the dynamics is…

Soft Condensed Matter · Physics 2009-11-11 M. Ripoll , K. Mussawisade , R. G. Winkler , G. Gompper

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

We propose a unified diffusion-mobility relation which quantifies both quantum and classical levels of understanding on electron dynamics in ordered and disordered materials. This attempt overcomes the inability of classical Einstein…

Other Condensed Matter · Physics 2017-05-11 K. Navamani , Swapan K. Pati