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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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https://hal.archives-ouvertes.fr/hal-00988773
Contributor : Vivien Lecomte <>
Submitted on : Friday, May 9, 2014 - 10:08:17 AM
Last modification on : Friday, April 10, 2020 - 5:31:01 PM

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Takahiro Nemoto, Vivien Lecomte, Shin-Ichi Sasa, Frédéric van Wijland. Finite-size effects in a mean-field kinetically constrained model: dynamical glassiness and quantum criticality. Journal of Statistical Mechanics, 2014, 2014 (10), pp.P10001. ⟨10.1088/1742-5468/2014/10/P10001⟩. ⟨hal-00988773⟩

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