Statistical distribution of bonding distances in a unidimensional solid
arXiv:1307.4183 · doi:10.1016/j.physa.2014.06.006
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.
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