abstract: 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.
Energy landscape and phase transitions in the self-gravitating ring model / C. Nardini; L. Casetti. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - STAMPA. - 80:(2009), pp. 060103(R)-060103(R). [10.1103/PhysRevE.80.060103]
Energy landscape and phase transitions in the self-gravitating ring model
CASETTI, LAPO
2009
Abstract
abstract: 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.File | Dimensione | Formato |
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