Tensionless structure of glassy phase

A. Lipowski; D. Johnston

doi:10.1103/physreve.65.017103

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Tensionless structure of glassy phase

A. Lipowski·D. Johnston

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Abstract

We study a class of homogeneous finite-dimensional Ising models which were recently shown to exhibit glassy properties. Monte Carlo simulations of a particular three-dimensional model in this class show that the glassy phase obtained under slow cooling is dominated by large scale excitations whose energy $E_l$ scales with their size $l$ as $E_l\sim l^Θ$ with $Θ\sim 1.33(5)$. Simulations suggest that in another model of this class, namely the four-spin model, energy is concentrated mainly in linear defects making also in this case domain walls tensionless. Two-dimensinal variants of these models are trivial and energy of excitations scales with the exponent $Θ=1.05(5)$.

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A. Lipowski, D. Johnston. 2001-06-12. Tensionless structure of glassy phase. https://doi.org/10.1103/physreve.65.017103

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