EQUILIBRIUM KAWASAKI DYNAMICS OF CONTINUOUS PARTICLE SYSTEMS

Equilibrium dynamics of continuous unbounded spin systems

N/v-limit for Stochastic Dynamics in Continuous Particle Systems

We provide an N/V -limit for the infinite particle, infinite volume stochastic dynamics associated with Gibbs states in continuous particle systems on R, d ≥ 1. Starting point is an N-particle stochastic dynamic with singular interaction and reflecting boundary condition in a subset Λ ⊂ R with finite volume (Lebesgue measure) V = |Λ| < ∞. The aim is to approximate the infinite particle, infinit...

Particle-Dynamics Approach to Non-Equilibrium Phenomena

A particle-dynamics simulation is a tool for investigating nonequilibrium phenomena accompanied with hydrodynamic, thermodynamic motions, and even with phase transitions. In this article, several applications of the particledynamics simulation and a new computational method of particle dynamics are reported.

Interacting particle systems out of equilibrium

These notes are based on lectures delivered by the authors at the Langeoog seminar of SFB/TR12 Symmetries and universality in mesoscopic systems in November 2007, to a mixed audience of mathematicians and theoretical physicists. After a brief outline of the basic physical concepts of equilibrium and nonequilibrium states, the one-dimensional totally asymmetric simple exclusion process (TASEP) i...

Ordered Equilibrium Structures of Patchy Particle Systems

Soft matter systems, typically consisting of mesoscopic particles in a microscopic solvent, can form a surprisingly rich variety of solid, ordered structures at low temperature. A reliable prediction which solid phases will appear for given particle interactions under certain thermodynamic conditions has been considered a major problem in (soft) condensed matter physics for several decades. In ...