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Cluster formation in a Fermi system with long-range attraction

2008/01/11 by Konstantin V. Grigorishin, K. V. Grigorishin, B. I. Lev
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.stat-mech

paper · pdf · doi:10.1088/0953-8984/20/04/045222

23 pages, 4 figures

openalex publication_date 2008/01/11 · arxiv created 2008/03/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 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.

Citations