Finite size scaling analysis of the glass transition

Preprint

21 March 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0303452

Abstract

We show that finite size scaling techniques can be employed to study the glass transition. Our results follow from the postulate of a diverging correlation length at the glass transition whose physical manifestation is the presence of dynamical heterogeneities. We introduce a parameter B(T,L) whose temperature, T, and system size, L, dependences permit a precise location of the glass transition. We discuss the finite size scaling behaviour of a diverging susceptibility \chi(L,T). These new techniques are successfully used to study two lattice models. The analysis straightforwardly applies to any glass-forming system.

Keywords

FINITE SIZE SCALING
SCALING TECHNIQUES
GLASS TRANSITION
NEW TECHNIQUES
TEMPERATURE
TRANSITION
SIZE

All Related Versions

Version 1, 2003-03-21, ArXiv
Published version: Physical Review Letters, 91 (5), 055701.

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