Stability of trajectories for N-particle dynamics with a singular potential

J. Barré; M. Hauray; P. E. Jabin

doi:10.1088/1742-5468/2010/07/P07005

Stability of trajectories for N-particle dynamics with a singular potential

J. Barré, M. Hauray, P. E. Jabin

Mathematics

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3 Scopus citations

Abstract

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)
Article number	P07005
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2010
Issue number	7
DOIs	https://doi.org/10.1088/1742-5468/2010/07/P07005
State	Published - Jul 2010

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1088/1742-5468/2010/07/P07005

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AB - 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.

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Stability of trajectories for N-particle dynamics with a singular potential

Abstract

All Science Journal Classification (ASJC) codes

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