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Time evolution of infinitely many particles: An existence theorem
Authors:P. Calderoni  S. Caprino
Affiliation:(1) Istituto Matematico dell'Università di Roma, Rome, Italy;(2) Istituto Matematico dell'Università di Camerino, Camerino, MC, Italy
Abstract:In this paper we deal with systems of infinitely many particles in Ropf3, given by a two-body, short-range potential and an external potential, depending on the position of the particles. We show the existence of dynamics for a set of initial configurations, which has measure one with respect to the Gibbs measure induced by a suitable family of Hamiltonians.
Keywords:Systems of infinitely many particles  Gibbs measure  spatial perturbations of the equilibrium
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