English

Collision of One-Dimensional Nonlinear Chains

Statistical Mechanics 2009-11-07 v1

Abstract

We investigate one-dimensional collisions of unharmonic chains and a rigid wall. We find that the coefficient of restitution (COR) is strongly dependent on the velocity of colliding chains and has a minimum value at a certain velocity. The relationship between COR and collision velocity is derived for low-velocity collisions using perturbation methods. We found that the velocity dependence is characterized by the exponent of the lowest unharmonic term of interparticle potential energy.

Keywords

Cite

@article{arxiv.cond-mat/0210374,
  title  = {Collision of One-Dimensional Nonlinear Chains},
  author = {Shin-ichiro Nagahiro and Yoshinori Hayakawa},
  journal= {arXiv preprint arXiv:cond-mat/0210374},
  year   = {2009}
}