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Finite size scaling analysis of the glass transition

Ludovic Berthier
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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 χ(L,T). These new techniques are successfully used to study two lattice models. The analysis straightforwardly applies to any glass-forming system.

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BibTeXRIS

Ludovic Berthier. 2003-03-21. Finite size scaling analysis of the glass transition. https://doi.org/10.1103/physrevlett.91.055701

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