Some remarks on nonequilibrium dynamics of infinite particle systems |
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Authors: | J Fritz |
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Institution: | (1) Institut des Hautes Etudes Scientifiques, 35, route de Chartres, 91440 Bures-sur-Yvette, France;(2) Present address: Mathematical Institute, H.A.S., Pf. 127, 1364 Budapest, Hungary |
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Abstract: | Classical mechanics of infinitely many particles in dimensions one and two is considered, particles interacting by a superstable pair potential of finite range. The group of motion generated by Newton's equations is constructed in the space of locally finite configurations with a logarithmic order of energy fluctuations at infinity. A core of the Liouville operator is also described. Results of Dobrushin and the author and of Marchioro-Pellegrinotti-Pulvirenti are improved. |
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Keywords: | Infinite systems superstable interactions Liouville operator essential self-adjointness |
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