Probing a critical length scale at the glass transition

Details Probing a critical length scale at the glass transition Probing a critical length scale at the glass transition

2010-05-04

arxiv.org/abs/1005.0581v1

Phys. Rev. Lett. 104, 205704 (2010)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures, to appear in Phys. Rev. Lett. 2010.

Scientific paper

10.1103/PhysRevLett.104.205704

We give evidence of a clear structural signature of the glass transition, in terms of a static correlation length with the same dependence on the system size which is typical of critical phenomena. Our approach is to introduce an external, static perturbation to extract the structural information from the system's response. In particular, we consider the transformation behavior of the local minima of the underlying potential energy landscape (inherent structures), under a static deformation. The finite-size scaling analysis of our numerical results indicate that the correlation length diverges at a temperature $T_c$, below the temperatures here the system can be equilibrated. Our numerical results are consistent with random first order theory, which predicts such a divergence with a critical exponent $\nu=2/3$ at the Kauzmann temperature, where the extrapolated configurational entropy vanishes.

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