Dynamics and thermodynamics of rotators interacting with both long and short range couplings

Details Dynamics and thermodynamics of rotators interacting with both long and short range couplings Dynamics and thermodynamics of rotators interacting with both long and short range couplings

2005-10-19

arxiv.org/abs/cond-mat/0510508v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, 6 figures

Scientific paper

10.1016/j.physa.2006.01.003

The effect of nearest-neighbor coupling on the thermodynamic and dynamical properties of the ferromagnetic Hamiltonian Mean Field model (HMF) is studied. For a range of antiferromagnetic nearest-neighbor coupling, a canonical first order transition is observed, and the canonical and microcanonical ensembles are non-equivalent. In studying the relaxation time of non-equilibrium states it is found that as in the HMF model, a class of non-magnetic states is quasi-stationary, with an algebraic divergence of their lifetime with the number of degrees of freedom $N$. The lifetime of metastable states is found to increase exponentially with $N$ as expected.

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