Cluster formation in the Fermi system with long-range interaction
Statistical Mechanics
2009-11-13 v1
Abstract
Based on statistical approach we described possible formation of spatially inhomogeneous distribution in the system of interacting Fermi particles by long-rage forces, and we demonstrated nonperturbative calculation of the partition function in this case. It was shown, that particles interacting with an attractive potential form clusters. Cluster is equilibrium structure, if we suppose that average energy of interaction of two particles is much less than their average kinetic energy . The analogy between self-gravitation gas and plasma was shown. The dynamics of cluster formation was considered with help hydrodynamical and statistical approaches, and time of relaxation to equilibrium state was found.
Cite
@article{arxiv.0803.0872,
title = {Cluster formation in the Fermi system with long-range interaction},
author = {K. V. Grigorishin and B. I. Lev},
journal= {arXiv preprint arXiv:0803.0872},
year = {2009}
}
Comments
23 pages, 4 figures