First-order microcanonical transitions in finite mean-field models

dc.creatorAntoni, Mickael
dc.creatorRuffo, Stefano
dc.creatorTorcini, Alessandro
dc.date2004-01-12
dc.date.accessioned2026-07-07T02:55:50Z
dc.date.available2026-07-07T02:55:50Z
dc.descriptionA microcanonical first order transition, connecting a clustered to a homogeneous phase, is studied from both the thermodynamic and dynamical point of view for a N-body Hamiltonian system with infinite-range couplings. In the microcanonical ensemble specific heat can be negative, but besides that, a microcanonical first order transition displays a temperature discontinuity as the energy is varied continuously (a dual phenomenon to the latent heat in the canonical ensemble). In the transition region, the entropy per particle exhibits, as a function of the order parameter, two relative maxima separated by a minimum. The relaxation of the metastable state is shown to be ruled by an activation process induced by intrinsic finite N fluctuations. In particular, numerical evidences are given that the escape time diverges exponentially with N, with a growth rate given by the entropy barrier.
dc.description7 pages, Latex - 6 EPS Figs - submitted to Europhys. Lett
dc.identifierhttps://arxiv.org/abs/cond-mat/0401177
dc.identifierhttp://arxiv.org/abs/cond-mat/0401177
dc.identifierEurophys. Lett., 66 (5), pp. 645-651 (2004)
dc.identifierdoi:10.1209/epl/i2004-10028-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23090
dc.subjectStatistical Mechanics
dc.titleFirst-order microcanonical transitions in finite mean-field models
dc.typetext

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