Free transport limit for N-particles dynamics with singular and short range potential

J. Barré; P. E. Jabin

doi:10.1007/s10955-008-9526-y

Free transport limit for N-particles dynamics with singular and short range potential

J. Barré, P. E. Jabin

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We study the limit of systems of interacting particles, when the number of particle becomes very large. The support of the interaction vanishes as the number of particles goes to infinity, so that the natural limit is just free transport, but no limitation is assumed about the strength of the interaction. We obtain explicit estimates for the number of particles effectively interacting and describe the way they do it.

Original language	English (US)
Pages (from-to)	1085-1101
Number of pages	17
Journal	Journal of Statistical Physics
Volume	131
Issue number	6
DOIs	https://doi.org/10.1007/s10955-008-9526-y
State	Published - Jun 2008

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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abstract = "We study the limit of systems of interacting particles, when the number of particle becomes very large. The support of the interaction vanishes as the number of particles goes to infinity, so that the natural limit is just free transport, but no limitation is assumed about the strength of the interaction. We obtain explicit estimates for the number of particles effectively interacting and describe the way they do it.",

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