Bistability in an Ising model with non-Hamiltonian dynamics

Files

Note (259.42 KB)
Downloads: 371

TR Number

Date

1992-03

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

Abstract

We investigate the phenomenon of magnetization bistability in a two-dimensional Ising model with a non-Hamiltonian Glauber dynamics by means of Monte Carlo simulations. This effect has previously been observed in the Toom model, which supports two stable phases with different magnetizations, even in the presence of a nonzero field. We find that such bistability is also present in an Ising model in which the transition probabilities are expressed in terms of Boltzmann factors depending only on the nearest-neighbor spins and the associated bond strengths. The strength on each bond assumes different values with respect to the spins at either of its ends, introducing an asymmetry like that of the Toom model.

Description

Keywords

renormalization-group, nonergodic behavior, systems, physics, condensed matter

Citation

Heringa, J. R.; Shinkai, H.; Blote, H. W. J.; Hoogland, A.; Zia, R. K. P., "Bistability in an Ising model with non-Hamiltonian dynamics," Phys. Rev. B 45, 5707 DOI: http://dx.doi.org/10.1103/PhysRevB.45.5707