Dynamical quasi-stationary states in a system with long-range forces
Abstrak
Abstract The Hamiltonian Mean Field (HMF) 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 Levy 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 →∞ limit is taken before the t →∞ limit, the results obtained are different from the expected canonical predictions. This scenario seems to confirm a recent conjecture proposed by Tsallis [C. Tsallis, in: S.R.A. Salinas, C. Tsallis (Eds.), Nonextensive statistical mechanics and thermodynamics, Braz. J. Phys. 29 (1999) 1 cond-mat/9903356 and contribution to this conference.
Topik & Kata Kunci
Penulis (2)
V. Latora
Andrea Rapisarda
Akses Cepat
- Tahun Terbit
- 2000
- Bahasa
- en
- Total Sitasi
- 15×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1016/S0960-0779(01)00021-2
- Akses
- Open Access ✓