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We study the deterministic dynamics of non-interacting classical gas particles confined to a one-dimensional box as a pedagogical toy model for the relaxation of the Boltzmann distribution towards equilibrium. Hard container walls alone…

经典物理 · 物理学 2011-06-28 Florian Gebhard , Kevin zu Muenster

We study a dense colloidal suspension confined between two quasiparallel glass plates as a model system for a supercooled liquid in confined geometries. We directly observe the three-dimensional Brownian motion of the colloidal particles…

软凝聚态物质 · 物理学 2012-06-01 Kazem V. Edmond , Carolyn R. Nugent , Eric R. Weeks

We use a standard minimal active Brownian model to investigate the osmotic-like effective pressure generated by active fluids on fixed hollow inclusions. These inclusions are enclosed by a permeable (albeit nonflexible) membrane, and the…

软凝聚态物质 · 物理学 2024-04-26 Mahmoud Sebtosheikh , Ali Naji

The non-equilibrium statistical mechanics and kinetic theory for a model of a confined quasi-two-dimensional gas of inelastic hard spheres is presented. The dynamics of the particles includes an effective mechanism to transfer the energy…

统计力学 · 物理学 2015-06-18 J. Javier Brey , M. I. García de Soria , P. Maynar , V. Buzón

We simulate a model of self-propelled disks with soft repulsive interactions confined to a box in two dimensions. For small rotational diffusion rates, monodisperse disks spontaneously accumulate at the walls. At low densities, interaction…

软凝聚态物质 · 物理学 2014-03-05 Xingbo Yang , M. Lisa Manning , M. Cristina Marchetti

In active matter systems, deformable boundaries provide a mechanism to organize internal active stresses and perform work on the external environment. To study a minimal model of such a system, we perform particle-based simulations of an…

软凝聚态物质 · 物理学 2022-01-05 Matthew S. E. Peterson , Aparna Baskaran , Michael F. Hagan

Recently some of us have constructed a Fokker-Planck formalism to describe the equilibration of the terrace-width distribution of a vicinal surface from an arbitrary initial configuration. However, the meaning of the associated relaxation…

材料科学 · 物理学 2009-01-19 Ajmi BH. Hamouda , Alberto Pimpinelli , T. L. Einstein

Based on a Fokker-Planck description of external Ornstein-Uhlenbeck noise and cross-correlated noise processes driving a dynamical system we examine the interplay of the properties of noise processes and the dissipative characteristic of…

统计力学 · 物理学 2009-11-07 Bidhan Chandra Bag , Suman Kumar Banik , Deb Shankar Ray

We investigate the well-posedness of a coupled Navier-Stokes-Fokker-Planck system with a time-fractional derivative. Such systems arise in the kinetic theory of dilute solutions of polymeric liquids, where the motion of noninteracting…

偏微分方程分析 · 数学 2026-04-10 Marvin Fritz , Endre Süli , Barbara Wohlmuth

Driven suspensions, where energy is input at a particle scale, are a framework for understanding general principles of out-of-equilibrium organization. A large number of simple interacting units can give rise to non-trivial structure and…

软凝聚态物质 · 物理学 2026-01-23 Pamud Akalanka Bethmage , Ryker Fish , Brennan Sprinkle , Michelle M. Driscoll

The stochastic dynamics of an active particle undergoing a constant speed and additionally driven by an overall fluctuating torque is investigated. The random torque forces are expressed by a stochastic differential equation for the angular…

统计力学 · 物理学 2011-12-22 Christian Weber , Paul K. Radtke , Lutz Schimansky-Geier , Peter Hänggi

Strongly confined active liquids are subject to unique hydrodynamic interactions due to momentum screening and lubricated friction by the confining walls. Using numerical simulations, we demonstrate that 2D dilute suspensions of fore-aft…

软凝聚态物质 · 物理学 2015-06-16 Adrien Lefauve , David Saintillan

We present a Lattice-Boltzmann method for simulating self-propelling (active) colloidal particles in two-dimensions. Active particles with symmetric and asymmetric force distribution on its surface are considered. The velocity field…

软凝聚态物质 · 物理学 2009-11-11 Sanoop Ramachandran , P. B. Sunil Kumar , I. Pagonabarraga

We propose a discrete lattice version of the Fokker-Planck kinetic equation along lines similar to the Lattice-Boltzmann scheme. Our work extends an earlier one-dimensional formulation to arbitrary spatial dimension $D$. A generalized…

Asymmetric obstacles can be exploited to direct the motion and induce sorting of run-and-tumbling particles. In this work, we show that flocking particles which follow the Vicsek model aligning rules experience a collective trapping in the…

软凝聚态物质 · 物理学 2019-12-02 Raul Martinez , Francisco Alarcon , Juan Luis Aragones , Chantal Valeriani

Confinement has been suggested as a tool to tune the self-assembly properties of nanoparticles, surfactants, polymers and colloids. In this way, we explore the phase diagram of Janus nanoparticles using Molecular Dynamics simulations. The…

软凝聚态物质 · 物理学 2016-11-23 José Rafael Bordin , Leandro B. Krott

We experimentally investigate the statistical behaviour of a model two-dimensional granular system undergoing stationary sedimentation. Buoyant cylindrical particles are rotated in liquid-filled drum, thus confined in a harmonic centripetal…

软凝聚态物质 · 物理学 2019-05-01 Nariaki Sakaï , Sébastien Moulinet , Frédéric Lechenault , Mokhtar Adda-Bedia

We use Brownian dynamics simulations to study a model of a cyclic bacterial heat engine based on a harmonically confined colloidal probe particle in a bath formed by active Brownian particles. For intermediate activities, active noise…

软凝聚态物质 · 物理学 2025-02-04 Roland Wiese , Klaus Kroy , Viktor Holubec

We illustrate a counter-intuitive effect of an additive stochastic force, which acts independently on each element of an ensemble of globally coupled oscillators. We show numerically and semi-analytically that a very small white noise is…

适应与自组织系统 · 物理学 2017-06-27 Pau Clusella , Antonio Politi

The Ornstein-Uhlenbeck (OU) process describes the dynamics of Brownian particles in a confining harmonic potential, thereby constituting the paradigmatic model of overdamped, mean-reverting Langevin dynamics. Despite its widespread…

统计力学 · 物理学 2024-05-16 Luca Cocconi , Henry Alston , Jacopo Romano , Thibault Bertrand