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RESEARCH PRODUCT

The Vlasov Limit for a System of Particles which Interact with a Wave Field

Valeria RicciYves ElskensMichael K.-h. Kiessling

subject

PhysicsContinuum (measurement)Point particle010102 general mathematicsStatistical and Nonlinear Physics16. Peace & justice01 natural sciencesvlasov limitLaw of large numbers[NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]0103 physical sciencesNewtonian fluid010307 mathematical physics0101 mathematicsComputingMilieux_MISCELLANEOUSMathematical PhysicsMathematical physicsCentral limit theorem

description

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.

yearjournalcountryeditionlanguage
2008-08-29Communications in Mathematical Physics
https://doi.org/10.1007/s00220-008-0591-5