Instabilities in the Mean Field Limit

Daniel Han-Kwan, Toan Nguyen

Research output: Contribution to journalArticle

1 Citation (Scopus)

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

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Mean-field Limit
Newton second law
Coulomb Interaction
Particle System
display devices
Unstable
Configuration
configurations
interactions

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Han-Kwan, Daniel ; Nguyen, Toan. / Instabilities in the Mean Field Limit. In: Journal of Statistical Physics. 2016 ; Vol. 162, No. 6. pp. 1639-1653.
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Instabilities in the Mean Field Limit. / Han-Kwan, Daniel; Nguyen, Toan.

In: Journal of Statistical Physics, Vol. 162, No. 6, 01.03.2016, p. 1639-1653.

Research output: Contribution to journalArticle

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