Dynamical Quasi-Stationary States in a system with long-range forces

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dc.creatorLatora, Vito
dc.creatorRapisarda, Andrea
dc.date2000-06-07
dc.date.accessioned2026-07-07T11:08:32Z
dc.date.available2026-07-07T11:08:32Z
dc.descriptionThe Hamiltonian Mean Field model describes a system of N fully-coupled particles showing a second-order phase transition as a function of the energy. The dynamics of the model presents interesting features in a small energy region below the critical point. In particular, when the particles are prepared in a ``water bag'' initial state, the relaxation to equilibrium is very slow. In the transient time the system lives in a dynamical quasi-stationary state and exhibits anomalous (enhanced) diffusion and Lévy walks. In this paper we study temperature and velocity distribution of the quasi-stationary state and we show that the lifetime of such a state increases with N. In particular when the $N\to \infty$ limit is taken before the $t \to \infty$ limit, the results obtained are different from the expected canonical predictions. This scenario seems to confirm a recent conjecture proposed by C.Tsallis.
dc.description7 pages, Latex, 4 eps figures included, talk presented at the Intern. Workshop "Classical and quantum complexity and nonextensive thermodynamics", held in Denton, Texas, April 3-6 2000
dc.identifierhttps://arxiv.org/abs/cond-mat/0006112
dc.identifierhttp://arxiv.org/abs/cond-mat/0006112
dc.identifierChaosSolitonsFractals13:401,2001
dc.identifierdoi:10.1016/S0960-0779(01)00021-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190165
dc.subjectStatistical Mechanics
dc.subjectAstrophysics
dc.subjectChaotic Dynamics
dc.subjectNuclear Theory
dc.titleDynamical Quasi-Stationary States in a system with long-range forces
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