The Vlasov limit and its fluctuations for a system of particles which interact by means of a wave field

Details The Vlasov limit and its fluctuations for a system of particles which interact by means of a wave field The Vlasov limit and its fluctuations for a system of particles which interact by means of a wave field

2005-06-30

arxiv.org/abs/math-ph/0506078v2

Physics

Mathematical Physics

68 pages. Smaller corrections: two inequalities in sections 3 and two inequalities in section 4, and definition of a Banach sp

Scientific paper

In two recent publications [Commun. PDE, vol.22, p.307--335 (1997), Commun. Math. Phys., vol.203, p.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.

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