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Non-equilibrium dynamics of three-dimensional infinite particle systems. (English) Zbl 1019.82010

Summary: We show existence and uniqueness for the solutions to the Newton equations relative to a system of infinitely many particles in the space, interacting by means of a positive and short-range potential. The initial conditions are chosen in a set sufficiently large to be the support of any reasonable nonequilibrium state. We extend previous results in one and two dimensions, obtained by O. E. Lanford [Commun. Math. Phys. 9, 176-191 (1968; Zbl 0164.25401), ibid. 11, 257-292 (1969; Zbl 0175.21401)] and by J. Fritz and R. L. Dobrushin [Commun. Math. Phys. 55, 275-292 (1977; Zbl 0987.82502), ibid. 57, 67-81 (1977)], respectively, many years ago.

MSC:

82C05 Classical dynamic and nonequilibrium statistical mechanics (general)
70F45 The dynamics of infinite particle systems
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