Comparison of static length scales characterizing the glass transition

Giulio Biroli, Smarajit Karmakar, Itamar Procaccia

Research output: Contribution to journalArticlepeer-review


The dramatic dynamic slowing down associated with the glass transition is considered by many to be related to the existence of a static length scale that grows when temperature decreases. Defining, identifying, and measuring such a length is a subtle problem. Recently, two proposals, based on very different insights regarding the relevant physics, were put forward. One approach is based on the point-to-set correlation technique and the other on the scale where the lowest eigenvalue of the Hessian matrix becomes sensitive to disorder. Here we present numerical evidence that the two approaches might result in the same identical length scale. This provides mutual support for their relevance and, at the same time, raises interesting theoretical questions, discussed in the conclusion.

Original languageEnglish
Article number165701
JournalPhysical review letters
Issue number16
StatePublished - 14 Oct 2013

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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