Statistical distribution of bonding distances in a unidimensional solid
Statistical Mechanics
2015-06-16 v1
Abstract
We study a Fermi-Pasta-Ulam-like chain with realistic potentials, which models a unidimensional solid in contact with heat baths at some temperature. We formulate an explicit analytical expression for the probability density of bonding distances between neighbor particles, which depends on temperature similarly to the distribution of velocities. Its validity is verified with a striking accuracy through simulations.
Cite
@article{arxiv.1307.4183,
title = {Statistical distribution of bonding distances in a unidimensional solid},
author = {Roman Belousov and Paolo De Gregorio and Lamberto Rondoni and Livia Conti},
journal= {arXiv preprint arXiv:1307.4183},
year = {2015}
}
Comments
10 pages, 5 figures, the research leading to these results has received funding from the European Research Council under the European Community Seventh Framework Program