Metastable states in a class of long-range Hamiltonian systems

Details Metastable states in a class of long-range Hamiltonian systems Metastable states in a class of long-range Hamiltonian systems

2001-09-10

arxiv.org/abs/cond-mat/0109178v1

Physica A 305, 137 (2002)

Physics

Condensed Matter

Statistical Mechanics

Latex 2e, 11 pages, 3 eps figures, contributed paper to the conf. "NEXT 2001", 23-30 May 2001, Cagliari (Italy), submitted to

Scientific paper

We numerically show that metastable states, similar to the Quasi Stationary
States found in the so called Hamiltonian Mean Field Model, are also present in
a generalized model in which $N$ classical spins (rotators) interact through
ferromagnetic couplings decaying as $r^{-\alpha}$, where $r$ is their distance
over a regular lattice. Scaling laws with $N$ are briefly discussed.

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