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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Barré, J., Jabin, P.E. Free Transport Limit for N-particles Dynamics with Singular and Short Range Potential. J Stat Phys 131, 1085–1101 (2008). https://doi.org/10.1007/s10955-008-9526-y
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DOI: https://doi.org/10.1007/s10955-008-9526-y