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 language | English (US) |
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Pages (from-to) | 1639-1653 |
Number of pages | 15 |
Journal | Journal of Statistical Physics |
Volume | 162 |
Issue number | 6 |
DOIs | |
State | Published - Mar 1 2016 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics