Finite size scaling analysis of the glass transition

Details Finite size scaling analysis of the glass transition Finite size scaling analysis of the glass transition

2003-03-21

arxiv.org/abs/cond-mat/0303452v1

Phys. Rev. Lett. 91, 055701 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.91.055701

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.

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