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arXiv · 2406.17464

Exact results on the dynamics of the stochastic Floquet-East model

Cecilia De Fazio·Juan P. Garrahan·Katja Klobas
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Abstract

We introduce a stochastic generalisation of the classical deterministic Floquet-East model, a discrete circuit with the same kinetic constraint as the East model of glasses. We prove exactly that, in the limit of long time and large size, this model has a large deviation phase transition between active and inactive dynamical phases. We also compute the finite time and size scaling of general space-time fluctuations, which for the case of inactive regions gives rise to dynamical hydrophobicity. We also discuss how, through the Trotter limit, these exact results also hold for the continuous-time East model, thus proving long-standing observations in kinetically constrained models. Our results here illustrate the applicability of exact tensor network methods for solving problems in many-body stochastic systems.

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BibTeXRIS

Cecilia De Fazio, Juan P. Garrahan, Katja Klobas. 2024-06-25. Exact results on the dynamics of the stochastic Floquet-East model. https://doi.org/10.1088/1751-8121/ad8e1c

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