Time evolution of infinite classical systems with singular,long range,two body interactions |
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| Authors: | Errico Presutti Mario Pulvirenti Brunello Tirozzi |
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| Institution: | (1) Istituto Matematico, Università dell'Aquila, I-67100 L'Aquila, Italy;(2) Istituto Matematico Università di Camerino, I-62032 Camerino, Italy;(3) Present address: USSR Academy of Sciences, Leniuskij Prospect 14, B 71 Moskva, USSR |
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| Abstract: | Existence of dynamics for infinitely many hard-spheres inv dimensions is proven in a set of full equilibrium measure.Singular unbounded perturbations are considered with pair potentials diverging as (x – a)– , >2 anda is the hard-core diameter. Long range forces are allowed with potentials decreasing at infinity asx
 , <v. The result corrects and generalizes a proof given in a previous paper by the same authors.Research partially supported by a CNR fellowship Posit. 204530.Research partially supported by a CNR fellowship. |
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