Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-03-16
Proc. Natl. Acad. Sci. USA 107, 12793 (2010)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 5 figures
Scientific paper
10.1073/pnas.1006306107
We generalize the simplest kinetically constrained model of a glass-forming liquid by softening kinetic constraints, allowing them to be violated with a small finite rate. We demonstrate that this model supports a first-order dynamical (space-time) phase transition, similar to those observed with hard constraints. In addition, we find that the first-order phase boundary in this softened model ends in a finite-temperature dynamical critical point, which we expect to be present in natural systems. We discuss links between this 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. We make these links explicit through exact mappings between master operators, transfer matrices, and Hamiltonians for quantum spin chains.
Chandler David
Elmatad Yael S.
Garrahan Juan P.
Jack Robert L.
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