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Dynamics and thermodynamics of rotators interacting with both long- and short-range couplings
Institution:1. Faculty of Natural Resources, College of Agriculture and Natural Resources, University of Tehran, Iran;2. School of Forest Resources, College of Agriculture, Pennsylvania State University, USA
Abstract: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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