Energy landscape and phase transitions in the self-gravitating ring model

Details Energy landscape and phase transitions in the self-gravitating ring model Energy landscape and phase transitions in the self-gravitating ring model

2009-09-08

arxiv.org/abs/0909.1447v1

Physical Review E (Rapid Communications) 80, 060103 (R) (2009).

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We apply a recently proposed criterion for the existence of phase transitions, which is based on the properties of the saddles of the energy landscape, to a simplified model of a system with gravitational interactions, referred to as the self-gravitating ring model. We show analytically that the criterion correctly singles out the phase transition between a homogeneous and a clustered phase and also suggests the presence of another phase transition, not previously known. On the basis of the properties of the energy landscape we conjecture on the nature of the latter transition.

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