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arXiv · 1405.1658

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

Takahiro Nemoto·Vivien Lecomte·Shin-ichi Sasa·Frédéric van Wijland
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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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Takahiro Nemoto, Vivien Lecomte, Shin-ichi Sasa, Frédéric van Wijland. 2015-05-15. Finite size effects in a mean-field kinetically constrained model: dynamical glassiness and quantum criticality. https://doi.org/10.1088/1742-5468%2F2014%2F10%2Fp10001

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