We study the stability in finite times of the trajectories of interacting particles. Our aim is to show that on average and uniformly in the number of particles, two trajectories whose initial positions in phase space are close remain close enough at later times. For potentials less singular than the classical electrostatic kernel, we are able to prove such a result for initial positions/velocities distributed according to the Gibbs equilibrium of the system.
|Original language||English (US)|
|Journal||Journal of Statistical Mechanics: Theory and Experiment|
|State||Published - Jul 2010|
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty