http://www.cnr.it/ontology/cnr/individuo/prodotto/ID57205
First-order microcanonical transitions in finite mean-field models (Articolo in rivista)
- Type
- Label
- First-order microcanonical transitions in finite mean-field models (Articolo in rivista) (literal)
- Anno
- 2004-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1209/epl/i2004-10028-6 (literal)
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- Antoni M. (1); Ruffo S. (2); Torcini A. (3,2,1) (literal)
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- (1) UMR-CNRS 6171 - Université d'Aix-Marseille III, Av. Esc. Normandie-Niemen, 13397 Marseille Cedex 20, France
(2) Dipartimento d'Energetica \"S. Stecco\" and CSDC, Università di Firenze, and INFN and INFM - via S. Marta 3, 50139 Firenze, Italy
3) Istituto Nazionale d'Ottica Applicata - Largo E. Fermi 6, 50125 Firenze, Italy (literal)
- Titolo
- First-order microcanonical transitions in finite mean-field models (literal)
- Abstract
- Amicrocanonical first-order transition, connecting a clustered to a homogeneous
phase, is studied from both the thermodynamic and the dynamical point of view for an 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.
Introduction. (literal)
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