Time evolution of infinitely many particles: An existence theorem |
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Authors: | P. Calderoni S. Caprino |
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Affiliation: | (1) Istituto Matematico dell'Università di Roma, Rome, Italy;(2) Istituto Matematico dell'Università di Camerino, Camerino, MC, Italy |
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Abstract: | In this paper we deal with systems of infinitely many particles in 3, 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. |
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Keywords: | Systems of infinitely many particles Gibbs measure spatial perturbations of the equilibrium |
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