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Article overview
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Overlap and activity glass transitions in plaquette spin models with hierarchical dynamics | | Robert M. Turner
; Robert L. Jack
; Juan P. Garrahan
; | | Date: |
20 Apr 2015 | | Abstract: | We consider thermodynamic and dynamic phase transitions in plaquette spin
models of glasses. The thermodynamic transitions involve coupled (annealed)
replicas of the model. We map these coupled-replica systems to a single replica
in a magnetic field, which allows us to analyse the resulting phase transitions
in detail. For the triangular plaquette model (TPM), we find for the
coupled-replica system a phase transition between high- and low-overlap phases,
occuring at a coupling eps*(T), which vanishes in the low-temperature limit.
Using computational path sampling techniques, we show that a single TPM also
displays space-time transitions between active and inactive dynamical phases.
These first-order dynamical transitions occur at a critical counting field
s_c(T)>=0 that appears to vanish at zero temperature, in a manner reminiscent
of the thermodynamic overlap transition. In order to extend the ideas to three
dimensions we introduce the square pyramid model which also displays both
overlap and activity transitions. We discuss a possible common origin of these
various phase transitions, based on long-lived (metastable) glassy states. | | Source: | arXiv, 1504.5076 | | Services: | Forum | Review | PDF | Favorites | |
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