Diverging length scale and upper critical dimension in the Mode-Coupling Theory of the glass transition

We show that the glass transition predicted by the Mode-Coupling Theory (MCT) is a critical phenomenon with a diverging length and time scale associated to the cooperativity of the dynamics. We obtain the scaling exponents ν and z that relate space and time scales to the distance from criticality, as well as the scaling form of the critical four-point correlation function. However, both these predictions and other well-known MCT results are mean field in nature and are thus expected to change below the upper critical dimension dc = 6, as suggested by different forms of the Ginzburg criterion.

• Publication year

  2004

• Venue

  EPL

• Publication date

  2004-01-15

• Fields of study

  Physics

• Identifiers
  DOI 10.1209/epl/i2004-10044-6arXiv cond-mat/0401260
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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