Cluster formation in the Fermi system with long-range interaction

Details Cluster formation in the Fermi system with long-range interaction Cluster formation in the Fermi system with long-range interaction

2008-03-06

arxiv.org/abs/0803.0872v1

Physics

Condensed Matter

Statistical Mechanics

23 pages, 4 figures

Scientific paper

10.1088/0953-8984/20/04/045222

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 $1/r$ 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 $kT$. 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.

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