Finite size effects in a mean-field kinetically constrained model: dynamical glassiness and quantum criticality

Abstract

On the example of a mean-field Fredrickson-Andersen kinetically constrained model, we focus on the known property that equilibrium dynamics take place at a first-order dynamical phase transition point in the space of time-realizations. We investigate the finite-size properties of this first order transition. By discussing and exploiting a mapping of the classical dynamical transition -an argued glassiness signature- to a first-order quantum transition, we show that the quantum analogy can be exploited to extract finite-size properties, which in many respects are similar to those in genuine mean-field quantum systems with a first-order transition. We fully characterize the finite-size properties of the order parameter across the first order transition.

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Cited by in corpus (13)

• Ergodicity and large deviations in physical systems with stochastic dynamics
• Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model
• Large deviations and dynamical phase transitions in stochastic chemical networks
• Generic Dynamical Phase Transition in One-Dimensional Bulk-Driven Lattice Gases with Exclusion
• Finite-time and finite-size scalings in the evaluation of large-deviation functions: Analytical study using a birth-death process
• Nonequilibrium thermodynamic potentials for continuous-time Markov chains
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• Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions
• Dynamical phase transitions for the activity biased Ising model in a magnetic field
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• Large deviation of long time average for a stochastic process : an alternative method
• Mapping current and activity fluctuations in exclusion processes: consequences and open questions
• Dynamical phase transition in the activity-biased fully-connected random field Ising model: connection with glass-forming systems