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We study the time evolution of a sessile liquid droplet, which is initially put onto a solid surface in a non-equilibrium configuration and then evolves towards its equilibrium shape. We adapt here the standard approach to the dynamics of…

Materials Science · Physics 2007-05-23 M. J. de Ruijter , J. De Coninck , G. Oshanin

We consider a non-interacting one-dimensional gas accelerated by a constant and uniform external field. The energy absorbed from the field is transferred via elastic collisions to a bath of scattering obstacles. At gas-obstacle encounters…

Statistical Mechanics · Physics 2009-11-11 Jaroslaw Piasecki , Rodrigo Soto

Prolongating our previous paper on the Einstein relation, we study the motion of a particle diffusing in a random reversible environment when subject to a small external forcing. In order to describe the long time behavior of the particle,…

Probability · Mathematics 2018-06-25 Pierre Mathieu , Andrey Piatnitski

The times required for reaching the power-law-in-time growth of the droplet radius after nucleation of a markedly supercritical binary droplet, are found analytically and estimated at diffusion-controlled or free-molecular regimes of…

Statistical Mechanics · Physics 2009-01-23 Fedor M. Kuni , Alexandra A. Lezova , Alexander K. Shchekin

We present measurements of the particle velocity distribution in the flow of granular material through vertical channels. Our study is confined to dense, slow flows where the material shears like a fluid only in thin layers adjacent to the…

Soft Condensed Matter · Physics 2009-11-10 Sudheshna Moka , Prabhu R. Nott

We study the relaxation of a Brownian particle with long range memory under confinement in one dimension. The particle diffuses in an arbitrary confining potential and resets at random times to previously visited positions, chosen with a…

Statistical Mechanics · Physics 2025-07-15 Denis Boyer , Satya N. Majumdar

Diffusion of electrons in two-dimensional disordered systems with spin-orbit interactions is investigated numerically. Asymptotic behaviors of the second moment of the wave packet and of the temporal auto-correlation function are examined.…

Condensed Matter · Physics 2009-10-28 Tohru Kawarabayashi , Tomi Ohtsuki

Large scale simulations of two-dimensional bidisperse granular fluids allow us to determine spatial correlations of slow particles via the four-point structure factor $S_4(q,t)$. Both cases, elastic ($\varepsilon=1$) as well as inelastic…

Statistical Mechanics · Physics 2014-07-16 Karina E. Avila , Horacio E. Castillo , Andrea Fiege , Katharina Vollmayr-Lee , Annette Zippelius

Some dynamical properties present in a problem concerning the acceleration of particles in a wave packet are studied. The dynamics of the model is described in terms of a two-dimensional area preserving map. We show that the phase space is…

Chaotic Dynamics · Physics 2011-09-14 Diego F. M. Oliveira , Marko Robnik , Edson D. Leonel

The paper is concerned with dynamics of multi-phase media consisting of a solid permeable material and a compressible Newtonian fluid. Governing macroscopic equations are derived starting from the space-averaged microscopic mass and…

Fluid Dynamics · Physics 2007-05-29 Vyacheslav S. Borisov

We study vibrated granular media, investigating each of the three components of the energy flow: particle-particle dissipation, energy input at the vibrating wall, and particle-wall dissipation. Energy dissipated by interparticle collisions…

Statistical Mechanics · Physics 2009-10-31 S. McNamara , S. Luding

We present molecular dynamics simulations of mono- or bidisperse inelastic granular gases driven by vibrating walls, in two dimensions (without gravity). Because of the energy injection at the boundaries, a situation often met…

Statistical Mechanics · Physics 2009-11-07 Alain Barrat , Emmanuel Trizac

We study a quasi-two-dimensional monolayer of granular rods fluidized by a spatially and temporally homogeneous upflow of air. By tracking the position and orientation of the particles, we characterize the dynamics of the system with…

Soft Condensed Matter · Physics 2010-11-03 L. J. Daniels , Y. Park , T. C. Lubensky , D. J. Durian

This contribution presents a derivation of the steady-state distribution of velocities and distances of driven particles on a onedimensional periodic ring. We will compare two different situations: (i) symmetrical interaction forces…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Martin Treiber , Dirk Helbing

We numerically examine a two-dimensional system of repulsively interacting particles with dynamics that are governed by both a damping term and a Magnus term. The magnitude of the Magnus term has one value for half of the particles and a…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 C. J. O. Reichhardt , C. Reichhardt

Heavy particles suspended in a turbulent flow settle faster than in a still fluid. This effect stems from a preferential sampling of the regions where the fluid flows downward and is quantified here as a function of the level of turbulence,…

Fluid Dynamics · Physics 2015-06-18 Jeremie Bec , Holger Homann , Samriddhi Sankar Ray

We study the steady-state distribution function of a run-and-tumble particle evolving around a repulsive hard spherical obstacle. We show that the well-documented activity-induced attraction translates into a delta peak accumulation at the…

Statistical Mechanics · Physics 2023-09-01 Thibaut Arnoulx de Pirey , Frédéric van Wijland

We develop and present a unified multi-scale model (involving three scales of spatial organisation) to study the dynamics of rigid aggregating particles suspended in a viscous fluid medium and subject to a steady poiseuille flow. At…

Soft Condensed Matter · Physics 2016-10-10 Sarthok Sircar , Anthony J. Roberts

The global energy fluctuations of a low density gas granular gas in the homogeneous cooling state near its clustering instability are studied by means of molecular dynamics simulations. The relative dispersion of the fluctuations is shown…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. I. Garcia de Soria , P. Maynar , M. J. Ruiz-Montero

This paper is concerned with the large-time behavior of solutions to the Cauchy problem on the two-fluid Euler-Maxwell system with collisions when initial data are around a constant equilibrium state. The main goal is the rigorous…

Analysis of PDEs · Mathematics 2014-12-02 Renjun Duan , Qingqing Liu , Changjiang Zhu