Diffusive Thermal Dynamics for the Ising Ferromagnet

Details Diffusive Thermal Dynamics for the Ising Ferromagnet Diffusive Thermal Dynamics for the Ising Ferromagnet

2002-07-04

arxiv.org/abs/cond-mat/0207129v1

Phys. Rev. E 66 036121 (2002)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 14 figures. Accepted for publication on PRE

Scientific paper

10.1103/PhysRevE.66.036121

We introduce a thermal dynamics for the Ising ferromagnet where the energy variations occurring within the system exhibit a diffusive character typical of thermalizing agents such as e.g. localized excitations. Time evolution is provided by a walker hopping across the sites of the underlying lattice according to local probabilities depending on the usual Boltzmann weight at a given temperature. Despite the canonical hopping probabilities the walker drives the system to a stationary state which is not reducible to the canonical equilibrium state in a trivial way. The system still exhibits a magnetic phase transition occurring at a finite value of the temperature larger than the canonical one. The dependence of the model on the density of walkers realizing the dynamics is also discussed. Interestingly the differences between the stationary state and the Boltzmann equilibrium state decrease with increasing number of walkers.

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