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In a previous work [math.AP/0305408] three of us have studied a nonlinear parabolic equation arising in the mesoscopic modelling of concentrated suspensions of particles that are subjected to a given time-dependent shear rate. In the…

偏微分方程分析 · 数学 2007-05-23 Eric Cancès , Isabelle Catto , Yousra Gati , Claude Le Bris

The dynamics of particles moving in a medium defined by its relativistically invariant stochastic properties is investigated. For this aim, the force exerted on the particles by the medium is defined by a stationary random variable as a…

量子物理 · 物理学 2009-11-11 Alejandro Cabo-Bizet , Alejandro Cabo Montes de Oca

In this work, a second order smoothed particle hydrodynamics is derived for the study of relativistic heavy ion collisions. The hydrodynamical equation of motion is formulated in terms of the variational principle. In order to describe the…

核理论 · 物理学 2017-10-11 Philipe Mota , Weixian Chen , Wei-Liang Qian

In this paper, we consider a diffuse-interface gas-liquid two-phase flow model with inhomogeneous temperatures, in which we employ the Peng-Robinson equation of state and the temperature-dependent influence parameter instead of the van der…

数值分析 · 数学 2018-08-01 Jisheng Kou , Shuyu Sun

We explore the idea that non-equilibrium steady states breaking detailed balance are obtained by deforming trajectories (lines in space-time) that have been sampled in a reference system with stochastic dynamics obeying detailed balance,…

统计力学 · 物理学 2018-04-17 Thomas Speck

We combine computer simulations and analytical theory to investigate the glassy dynamics in dense assemblies of athermal particles evolving under the sole influence of self-propulsion. The simulations reveal that when the persistence time…

软凝聚态物质 · 物理学 2015-06-30 Grzegorz Szamel , Elijah Flenner , Ludovic Berthier

This study presents a comprehensive framework for constitutive modeling of a frame-invariant fractional-order approach to nonlocal thermoelasticity in solids. For this purpose, thermodynamic and mechanical balance laws are derived for…

数值分析 · 数学 2021-02-11 Sai Sidhardh , Sansit Patnaik , Fabio Semperlotti

A thermodynamics for systems at a stationary states is formulated. It is based upon the assumption of the existence of local equilibrium in phase space which enables one to interpret the probability density ans its conjugated nonequilibrium…

统计力学 · 物理学 2007-05-23 I. Santamaria-Holek , J. M. Rubi , A. Perez-Madrid

When very small particles are suspended in a fluid in motion, they tend to follow the flow. How such tracer particles are mixed, transported, and dispersed by turbulent flow has been successfully described by statistical models. Heavy…

流体动力学 · 物理学 2023-12-21 J. Bec , K. Gustavsson , B. Mehlig

We study the dynamics of particles in a multi-component 2d Lennard-Jones (LJ) fluid in the limiting case where {\it all the particles are different} (APD). The equilibrium properties of this APD system were studied in our earlier work…

软凝聚态物质 · 物理学 2016-06-22 Lenin S. Shagolsem , Yitzhak Rabin

We characterize a system of hard spheres with a simple collision rule that breaks time reversal symmetry, but conserves energy. The collisions lead to an a-chiral, isotropic, and homogeneous stationary state, whose properties are determined…

统计力学 · 物理学 2022-09-21 Niklas Grimm , Annette Zippelius , Matthias Fuchs

This paper presents a molecular dynamics simulation of an inelastic gas, where collisions between molecules are characterized by a coefficient of restitution less than unity. The simulation employs an event-driven algorithm to efficiently…

计算物理 · 物理学 2025-02-03 Rameez Farooq Shah , Shikha Kumari , Syed Rashid Ahmad

Stochastic boundary conditions for interactions with a particle reservoir are discussed in many-particle systems. We introduce the boundary conditions with the injection rate and the momentum distribution of particles coming from a particle…

统计力学 · 物理学 2017-04-26 Tooru Taniguchi , Shin-ichi Sawada

Motivated by recent experimental and computational results that show a motility-induced clustering transition in self-propelled particle systems, we study an individual model and its corresponding Self-Organized Hydrodynamic model for…

适应与自组织系统 · 物理学 2016-02-22 Pierre Degond , Silke Henkes , Hui Yu

We present a novel computational modeling framework to numerically investigate fluid-structure interaction in viscous fluids using the phase field embedding method. Each rigid body or elastic structure immersed in the incompressible viscous…

流体动力学 · 物理学 2021-09-16 Qi Hong , Qi Wang

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

计算物理 · 物理学 2025-03-11 Xiaojian Yang , Kun Xu

It is known that a finite-size homogeneous granular fluid develops an hydrodynamic-like instability when dissipation crosses a threshold value. This instability is analyzed in terms of modified hydrodynamic equations: first, a source term…

统计力学 · 物理学 2009-10-31 R. Soto , M. Mareschal , M. Malek Mansour

We combine conditional state density construction with an extension of the Scenario Approach for stochastic Model Predictive Control to nonlinear systems to yield a novel particle-based formulation of stochastic nonlinear output-feedback…

最优化与控制 · 数学 2020-05-01 Martin A. Sehr , Robert R. Bitmead

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

偏微分方程分析 · 数学 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

We present and study a Particle method for the stationary solutions of a class of transport equations. This method is inspired by non-stationary Particle methods, the time variable being replaced by one spatial variable. Particles…

数值分析 · 数学 2025-11-13 Rafael Bailo , Julie Binard , Pierre Degond , Pascal Noble