Finite-temperature critical point of a glass transition

Y S Elmatad, Robert L Jack, D Chandler, J P Garrahan

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68 Citations (SciVal)


We generalize the simplest kinetically constrained model of a glass-forming liquid by softening kinetic constraints, allowing them to be violated with a small rate. We demonstrate that this model supports a first-order dynamical (space-time) phase transition between active (fluid) and inactive (glass) phases. The first-order phase boundary in this softened model ends in a finite-temperature dynamical critical point, which may be present in natural systems. In this case, the glass phase has a very large but finite relaxation time. We discuss links between the dynamical critical point and quantum phase transitions, showing that dynamical phase transitions in d dimensions map to quantum transitions in the same dimension, and hence to classical thermodynamic phase transitions in d + 1 dimensions.
Original languageEnglish
Pages (from-to)12793-12798
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number29
Early online date1 Jul 2010
Publication statusPublished - 20 Jul 2010


  • critical behavior
  • supercooled liquids


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