Abstract
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.
References
36
Referenced
75
10.1021/jp953538d
10.1126/science.267.5206.1924
10.1146/annurev.physchem.51.1.99
10.1103/PhysRevB.36.5388
10.1103/PhysRevA.35.3072
10.1016/0378-4371(95)00140-3
10.1088/0034-4885/55/3/001
10.1146/annurev.physchem.040808.090405
10.1073/pnas.0504820102
10.1063/1.2374885
10.1103/PhysRevLett.98.195702
10.1088/1751-8113/42/7/075007
10.1126/science.1166665
10.1103/PhysRevE.81.011111
10.1080/0001873031000093582
10.1063/1.532394
10.1103/PhysRevE.64.016101
10.1103/PhysRevLett.53.1244
- S Sachdev Quantum Phase Transitions (Cambridge Univ Press, Cambridge, UK), pp. 1–36 (1999). / Quantum Phase Transitions by Sachdev S (1999)
10.1073/pnas.1233719100
10.1103/PhysRevLett.89.035704
10.1103/PhysRevLett.92.185705
10.1088/1742-5468/2006/03/P03006
10.1103/PhysRevLett.95.010601
10.1007/s10955-006-9254-0
10.1088/1742-5468/2010/02/P02017
10.1103/PhysRevLett.103.010602
- D Ruelle Thermodynamic Formalism (Addison–Wesley, Reading, MA, 1978). / Thermodynamic Formalism by Ruelle D (1978)
10.1146/annurev.physchem.53.082301.113146
10.1088/0305-4470/9/9/008
10.1080/00018730110099650
10.1051/jphys:019850046090146900
10.1143/PTPS.184.304
10.1103/PhysRevB.81.184303
10.1016/j.jnoncrysol.2005.09.009
10.1073/pnas.0507870102
Dates
Type | When |
---|---|
Created | 15 years, 1 month ago (July 2, 2010, 11:20 p.m.) |
Deposited | 3 years, 4 months ago (April 13, 2022, 11:31 p.m.) |
Indexed | 3 weeks, 5 days ago (Aug. 6, 2025, 9:55 a.m.) |
Issued | 15 years, 2 months ago (July 2, 2010) |
Published | 15 years, 2 months ago (July 2, 2010) |
Published Online | 15 years, 2 months ago (July 2, 2010) |
Published Print | 15 years, 1 month ago (July 20, 2010) |
@article{Elmatad_2010, title={Finite-temperature critical point of a glass transition}, volume={107}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.1006306107}, DOI={10.1073/pnas.1006306107}, number={29}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Elmatad, Yael S. and Jack, Robert L. and Chandler, David and Garrahan, Juan P.}, year={2010}, month=jul, pages={12793–12798} }