Eur. Phys. J. B 21, 595-603 (2001)
https://doi.org/10.1007/s100510170170

Vitrification in a 2D Ising model with mobile bonds

Department of Physics, Faculty of Science, University of Zagreb, Bijenička cesta 32, POB 331, 10000 Zagreb, Croatia

Corresponding author: ^a dks@phy.hr

Received: 3 August 2000
Revised: 9 March 2001
Published online: 15 June 2001

Abstract

A bond-disordered two-dimensional Ising model is used to simulate Kauzmann's mechanism of vitrification in liquids, by a Glauber Monte Carlo simulation. The rearrangement of configurations is achieved by allowing impurity bonds to hop to nearest neighbors at the same rate as the spins flip. For slow cooling, the theoretical minimum energy configuration is approached, characterized by an amorphous distribution of locally optimally arranged impurity bonds. Rapid cooling to low temperatures regularly finds bond configurations of higher energy, which are both a priori rare and severely restrictive to spin movement, providing a simple realization of kinetic vitrification. A supercooled liquid regime is also found, and characterized by a change in sign of the field derivative of the spin-glass susceptibility at a finite temperature.