Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-06-07
ChaosSolitonsFractals13:401,2001
Physics
Condensed Matter
Statistical Mechanics
7 pages, Latex, 4 eps figures included, talk presented at the Intern. Workshop "Classical and quantum complexity and nonextens
Scientific paper
10.1016/S0960-0779(01)00021-2
The 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 L\'evy 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.
Latora Vito
Rapisarda Andrea
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