Finite-size critical fluctuations in microscopic models of mode-coupling theory
Abstract
Facilitated spin models on random graphs provide an ideal microscopic realization of the mode-coupling theory of supercooled liquids: they undergo a purely dynamic glass transition with no thermodynamic singularity. In this paper we study the fluctuations of dynamical heterogeneity and their finite-size scaling properties in the beta relaxation regime of such microscopic spin models. We compare the critical fluctuations behavior for two distinct measures of correlations with the results of a recently proposed field theoretical description based on quasi-equilibrium ideas. We find that the theoretical predictions perfectly fit the numerical simulation data once the relevant order parameter is identified with the persistence function of the spins.
Keywords
Cite
@article{arxiv.1210.5952,
title = {Finite-size critical fluctuations in microscopic models of mode-coupling theory},
author = {Silvio Franz and Mauro Sellitto},
journal= {arXiv preprint arXiv:1210.5952},
year = {2015}
}