Ising spin glass that closely resembles the physical glass transition.
We consider a modification of the one-dimensional Ising model in an external field in which the higher-energy spin state is assumed to be P-fold degenerate. The model shows a transition that becomes first order in the limit of infinite coupling constant. Here we report a study of the dynamical properties of the model by computer simulation in the vicinity of this transition, under the assumption that the model evolves by single spin flips with Metropolis bias, but with certain forbidden flips. The result is a model that exhibits many well-known empirical properties of the physical glass transition, including the "Kauzmann paradox," the Vogel law, stretched-exponential relaxation, and dynamic heterogeneity.
Mansfield
Marc L
ML
Department of Chemistry and Chemical Biology, Stevens Institute of Technology, Hoboken, New Jersey 07030, USA.