Instabilities in the Mean Field Limit

Daniel Han-Kwan, Toan Nguyen

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

Consider a system of N particles interacting through Newton’s second law with Coulomb interaction potential in one spatial dimension or a (Formula presented.) smooth potential in any dimension. We prove that in the mean field limit (Formula presented.) , the N particles system displays instabilities in times of order (Formula presented.) , for some configurations approximately distributed according to unstable homogeneous equilibria.

Original languageEnglish (US)
Pages (from-to)1639-1653
Number of pages15
JournalJournal of Statistical Physics
Volume162
Issue number6
DOIs
StatePublished - Mar 1 2016

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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