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Phase transition for quenched coupled replicas in a plaquette spin model of glasses

Jack, Robert L.; Garrahan, Juan P.

Authors

Robert L. Jack



Abstract

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localized defects and effective kinetic constraints. The thermodynamics of this system is smooth at all temperatures. We show that coupling it to a second system with a fixed (quenched) configuration leads to a phase transition, at finite coupling. The order parameter is the overlap between the copies, and the transition is between phases of low and high overlap. We find critical points whose properties are consistent with random-field Ising universality. We analyze the interfacial free energy cost between the high- and low-overlap states that coexist at (and below) the critical point, and we use this cost as the basis for a finite-size scaling analysis. We discuss these results in the context of mean-field and dynamical facilitation theories of the glass transition.

Citation

Jack, R. L., & Garrahan, J. P. (2016). Phase transition for quenched coupled replicas in a plaquette spin model of glasses. Physical Review Letters, 116(5), Article 055702. https://doi.org/10.1103/PhysRevLett.116.055702

Journal Article Type Article
Acceptance Date Dec 8, 2015
Publication Date Feb 2, 2016
Deposit Date Jul 8, 2016
Publicly Available Date Jul 8, 2016
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 116
Issue 5
Article Number 055702
DOI https://doi.org/10.1103/PhysRevLett.116.055702
Public URL https://nottingham-repository.worktribe.com/output/777405
Publisher URL http://dx.doi.org/10.1103/PhysRevLett.116.055702
Additional Information ©2016 American Physical Society

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