Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
975856 | Physica A: Statistical Mechanics and its Applications | 2006 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Alessandro Campa, Andrea Giansanti, David Mukamel, Stefano Ruffo,