Finite-Size Scaling Analysis of the Glass Transition

We show that finite-size scaling techniques can be employed to study the glass transition. Our results follow from the postulate of a diverging dynamical 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 behavior 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.