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

De Fazio, Cecilia; Garrahan, Juan P; Klobas, Katja

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.

Citation

De Fazio, C., Garrahan, J. P., & Klobas, K. (2024). Exact results on the dynamics of the stochastic Floquet-East model. Journal of Physics A: Mathematical and Theoretical, 57(50), Article 505002. https://doi.org/10.1088/1751-8121/ad8e1c

• Journal Article Type: Article
• Acceptance Date: Nov 1, 2024
• Online Publication Date: Nov 26, 2024
• Publication Date: Dec 13, 2024
• Deposit Date: Nov 26, 2024
• Publicly Available Date: Nov 26, 2024
• Journal: Journal of Physics A: Mathematical and Theoretical
• Print ISSN: 1751-8113
• Electronic ISSN: 1751-8121
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 57
• Issue: 50
• Article Number: 505002
• DOI: https://doi.org/10.1088/1751-8121/ad8e1c
• Public URL: https://nottingham-repository.worktribe.com/output/42473962
• Publisher URL: https://iopscience.iop.org/article/10.1088/1751-8121/ad8e1c