Glassy transition and metastability in four-spin Ising model

Details Glassy transition and metastability in four-spin Ising model Glassy transition and metastability in four-spin Ising model

1998-12-07

arxiv.org/abs/cond-mat/9812098v3

J. Phys. A33 4451-4460 (2000)

Physics

Condensed Matter

Statistical Mechanics

extensively revised, with further simulations of metastability properties, response to referees tactfully removed

Scientific paper

Using Monte Carlo simulations we show that the three-dimensional Ising model with four-spin (plaquette) interactions has some characteristic glassy features. The model dynamically generates diverging energy barriers, which give rise to slow dynamics at low temperature. Moreover, in a certain temperature range the model possesses a metastable (supercooled liquid) phase, which is presumably supported by certain entropy barriers. Although extremely strong, metastability in our model is only a finite-size effect and sufficiently large droplets of stable phase divert evolution of the system toward the stable phase. Thus, the glassy transitions in this model is a dynamic transition, preceded by a pronounced peak in the specific heat.

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