Vitrification in a 2D Ising model with mobile bonds

Details Vitrification in a 2D Ising model with mobile bonds Vitrification in a 2D Ising model with mobile bonds

2001-03-12

arxiv.org/abs/cond-mat/0103242v2

European Physical Journal B 21, 595-604 (2001)

Physics

Condensed Matter

Statistical Mechanics

Final version, as accepted in EPJ B, reformatted to 9 pages, otherwise minor rephrasing, 10 figures

Scientific paper

10.1007/s100510170170

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.

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