Estimating the number and the strength of collisions in molecular dynamics
Analysis of PDEs
2019-03-15 v1 Classical Physics
Abstract
We consider the motion of a finite though large number of particles in the whole space R n. Particles move freely until they experience pairwise collisions. We use our recent theory of divergence-controlled positive symmetric tensors in order to establish two estimates regarding the set of collisions. The only information needed from the initial data is the total mass and the total energy.
Keywords
Cite
@article{arxiv.1903.05866,
title = {Estimating the number and the strength of collisions in molecular dynamics},
author = {Denis Serre},
journal= {arXiv preprint arXiv:1903.05866},
year = {2019}
}