Heriot-Watt Mathematics Report Series
HWM01-19, 28 May 2001
Tensionless Structure of Glassy Phase
A Lipwoski and D Johnston
Abstract
We study a class of homogeneous finite-dimensional Ising models which recently
were shown to exhibit glassy properties.
Monte Carlo simulations of certain three-dimensional models show that the
glassy phase obtained under infinitely slow cooling is dominated by large scale
excitations whose energy E_l scales with their size l as E_l ~
l^t$ with t ~ 1.33(5).
Simulations suggest that in the four-spin model energy is concentrated mainly
in linear defects making the domain walls tensionless.
Two-dimensinal variants of these models are trivial and
energy of excitations scales with the exponent t ~ 1.05(5).
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