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arXiv · 1208.6121

Stretched exponentials and tensionless glass in the plaquette Ising model

Adam Lipowski
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Abstract

Using Monte Carlo simulations we show that the autocorrelation function $C(t)$ in the d=3 Ising model with a plaquette interaction has a stretched-exponential decay in a supercooled liquid phase. Such a decay characterizes also some ground-state probability distributions obtained from the numerically exact counting of up to 10^450 configurations. A related model with a strongly degenerate ground state but lacking glassy features does not exhibit such a decay. Althoug the stretched exponential decay of C(t) in the three-dimensional supercooled liquid is inconsistent with the droplet model, its modification that considers tensionless droplets might explain such a decay. An indication that tensionless droplets might play some role comes from the analysis of low-temperature domains that compose the glassy state. It shows that the energy of a domain of size l scales as l^1.15, hence these domains are indeed tensionless .

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Adam Lipowski. 2012-08-30. Stretched exponentials and tensionless glass in the plaquette Ising model. https://doi.org/10.1103/physreve.86.051129

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