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We study single-variable approaches for describing stochastic dynamics with small inertia. The basic models we deal with describe passive Brownian particles and phase elements (phase oscillators, rotators, superconducting Josephson…

For classical many-body systems subject to Brownian dynamics we develop a superadiabatic dynamical density functional theory (DDFT) for the description of inhomogeneous fluids out-of-equilibrium. By explicitly incorporating the dynamics of…

软凝聚态物质 · 物理学 2022-12-20 S. M. Tschopp , J. M. Brader

We consider the solid or hexatic non-equilibrium phases of an interacting two-dimensional system of Active Brownian Particles at high density and investigate numerically and theoretically the properties of the velocity distribution function…

统计力学 · 物理学 2020-09-16 Lorenzo Caprini , Umberto Marini Bettolo Marconi

We study ergodic properties of one-dimensional Brownian motion with resetting. Using generic classes of statistics of times between resets, we find respectively for thin/fat tailed distributions, the normalized/non-normalised invariant…

统计力学 · 物理学 2023-06-26 Eli Barkai , Rosa Flaquer-Galmes , Vicenç Méndez

The Active Brownian Particle (ABP) model has become a prototype of self-propelled particles. ABPs move persistently at a constant speed $V$ along a direction that changes slowly by rotational diffusion, characterized by a coefficient $\Dr$.…

软凝聚态物质 · 物理学 2025-03-11 Rodrigo Soto

The diffusive transport of biased Brownian particles in a two-dimensional symmetric channel is investigated numerically considering both the no-flow and the reflection boundary conditions at the channel boundaries. Here, the geometrical…

软凝聚态物质 · 物理学 2019-09-10 Narender Khatri , P. S. Burada

We describe a test particle approach based on dynamical density functional theory (DDFT) for studying the correlated time evolution of the particles that constitute a fluid. Our theory provides a means of calculating the van Hove…

软凝聚态物质 · 物理学 2011-03-17 Paul Hopkins , Andrea Fortini , Andrew Archer , Matthias Schmidt

When an ensemble of particles interact hydrodynamically, they generically display large-scale transient structures such as swirls in sedimenting particles [1], or colloidal strings in sheared suspensions [2]. Understanding these…

软凝聚态物质 · 物理学 2013-01-24 Nicolas Desreumaux , Jean-Baptiste Caussin , Raphael Jeanneret , Eric Lauga , Denis Bartolo

In this work we derive and analyze coarse-grained descriptions of self-propelled particles with selective attraction-repulsion interaction, where individuals may respond differently to their neighbours depending on their relative state of…

软凝聚态物质 · 物理学 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk

By using the Enskog-Boltzmann approach, we study the steady-state dynamics of a granular discorectangle placed in a two-dimensional bath of thermalized hard disks. Hard core collisions are assumed elastic between disks and inelastic between…

统计力学 · 物理学 2007-05-23 H. Gomart , J. Talbot , P. Viot

A mean-field Fokker-Planck equation approach to the dynamics of ferrofluids in the presence of a magnetic field and velocity gradients is proposed that incorporates magnetic dipole-dipole interactions of the colloidal particles. The model…

软凝聚态物质 · 物理学 2015-06-24 Patrick Ilg , Siegfried Hess

We complete the kinetic theory of inhomogeneous systems with long-range interactions initiated in previous works. We use a simpler and more physical formalism. We consider a system of particles submitted to a small external stochastic…

统计力学 · 物理学 2023-08-23 Pierre-Henri Chavanis

We use the system-plus-reservoir approach to study the quantum dynamics of a bipartite continuous variable system (two generic particles). We present an extension of the traditional model of a bath of oscillators which is capable of…

量子物理 · 物理学 2015-05-13 O. S. Duarte , A. O. Caldeira

Starting from the many-particle Smoluchowski equation, we derive dynamical density functional theory for Brownian particles with an arbitrary shape. Both passive and active (self-propelled) particles are considered. The resulting theory…

软凝聚态物质 · 物理学 2014-01-28 Raphael Wittkowski , Hartmut Löwen

The Fokker-Planck equation provides complete statistical description of a particle undergoing random motion in a solvent. In the presence of Lorentz force due to an external magnetic field, the Fokker-Planck equation picks up a tensorial…

The dynamics of inertial particles in Rayleigh-B\'{e}nard convection, where both particles and fluid exhibit thermal expansion, is studied using direct numerical simulations (DNS). We consider the effect of particles with a thermal…

软凝聚态物质 · 物理学 2019-07-02 Kim M. J. Alards , Rudie P. J. Kunnen , Herman J. H. Clercx , Federico Toschi

We study the diffusive dynamics of a Brownian particle in proximity of a flat surface under non-equilibrium conditions, which are created by an anisotropic thermal environment with different temperatures being active along distinct spatial…

统计力学 · 物理学 2017-09-13 Stefano Bo , Ralf Eichhorn

We review the non-relativistic Green's-function approach to the kinetic equations for Fermi liquids far from equilibrium. The emphasis is on the consistent treatment of the off-shell motion between collisions and on the non-instant and…

核理论 · 物理学 2017-03-08 P. Lipavsky , K. Morawetz , V. Spicka

The nonlinear response of an adsorbed layer on a periodic substrate to an external force is studied via a two dimensional uniaxial Frenkel-Kontorova model. The nonequlibrium properties of the model are simulated by Brownian molecular…

统计力学 · 物理学 2009-10-31 Enzo Granato , S. C. Ying

We review and complete the existing literature on the kinetic theory of spatially homogeneous systems with long-range interactions taking collective effects into account. The evolution of the system as a whole is described by the…

统计力学 · 物理学 2012-02-20 Pierre-Henri Chavanis