Caglioti, E.; Marchioro, C.; Pulvirenti, M. Non-equilibrium dynamics of three-dimensional infinite particle systems. (English) Zbl 1019.82010 Commun. Math. Phys. 215, No. 1, 25-43 (2000). 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. Cited in 16 Documents MSC: 82C05 Classical dynamic and nonequilibrium statistical mechanics (general) 70F45 The dynamics of infinite particle systems Keywords:existence; uniqueness; Newton equations; infinitely many particles Citations:Zbl 0164.25401; Zbl 0175.21401; Zbl 0987.82502 PDFBibTeX XMLCite \textit{E. Caglioti} et al., Commun. Math. Phys. 215, No. 1, 25--43 (2000; Zbl 1019.82010) Full Text: DOI