The Global Evolution of States of a Continuum Kawasaki Model with Repulsion

2016/03/27 by Joanna Barańska, Yuri Kozitsky, Baranska, Joanna +1
Mathematics · Physics and Astronomy · #60K35 #70F45 #82C22 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.DS #math.MP #msc:60K35 #msc:70F45 #msc:82C22

paper · pdf · doi:10.48550/arxiv.1603.08234

openalex publication_date 2016/03/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

An infinite system of point particles performing random jumps in \mathdsR^d with repulsion is studied. The states of the system are probability measures on the space of particle's configurations. The result of the paper is the construction of the global in time evolution of states with the help of the corresponding correlation functions. It is proved that for each initial sub-Poissonian state μ₀, the constructed evolution μ₀ ↦ μ_t preserves this property. That is, μ_t is sub-Poissonian for all t>0.

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