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

Alessandro Campa, Andrea Giansanti, David Mukamel and Stefano Ruffo

Physica A: Statistical Mechanics and its Applications, 2006, vol. 365, issue 1, 120-127

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.

Keywords: Long-range systems; Quasi-stationary states; Ensemble inequivalence (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:365:y:2006:i:1:p:120-127

DOI: 10.1016/j.physa.2006.01.003

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