On the Long Time Behavior of a Particle in an Infinitely Extended System in One Dimension |
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Authors: | E Caglioti C Marchioro |
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Institution: | (1) Dipartimento di Matematica, Università di Roma La Sapienza, Piazzale A. Moro 2, 00185 Roma |
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Abstract: | We study the long time behavior of a non-equilibrium infinite particle system in one dimension. First, we show that the velocity of a particle increases at most linearly in time. Then we discuss at a heuristic level the displacement of a particle when the mutual interaction is singular. Finally we study the motion of a fast particle interacting with a background of slow particles and we prove that the velocity of the fast particle remains almost unchanged for a long time (at least proportional to the velocity itself). |
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Keywords: | infinite dynamics long time behavior |
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