The Vlasov limit and its fluctuations for a system of particles which interact by means of a wave field
نویسنده
چکیده
In two recent publications, [Commun. PDE 22, 307–335 (1997), Commun. Math. Phys. 203, 1–19 (1999)], A. Komech, M. Kunze and H. Spohn studied the joint dynamics of a classical point particle and a wave type generalization of the Newtonian gravity potential, coupled in a regularized way. In the present paper the many-body dynamics of this model is studied. The Vlasov continuum limit is obtained in form equivalent to a weak law of large numbers. We also establish a central limit theorem for the fluctuations around this limit. c ©2005 The authors. Reproduction of this article, in its entirety, for non-commercial purposes is permitted.
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0 Ju n 20 05 The Vlasov limit and its fluctuations for a system of particles which interact by means of a wave field
In two recent publications, [Commun. PDE 22, 307–335 (1997), Commun. Math. Phys. 203, 1–19 (1999)], A. Komech, M. Kunze and H. Spohn studied the joint dynamics of a classical point particle and a wave type generalization of the Newtonian gravity potential, coupled in a regularized way. In the present paper the many-body dynamics of this model is studied. The Vlasov continuum limit is obtained i...
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