Exact results on the dynamics of the stochastic Floquet-East model
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912206203912192 |
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| author | De Fazio, Cecilia Garrahan, Juan P. Klobas, Katja |
| author_facet | De Fazio, Cecilia Garrahan, Juan P. Klobas, Katja |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17464 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact results on the dynamics of the stochastic Floquet-East model De Fazio, Cecilia Garrahan, Juan P. Klobas, Katja Statistical Mechanics Cellular Automata and Lattice Gases 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. |
| title | Exact results on the dynamics of the stochastic Floquet-East model |
| topic | Statistical Mechanics Cellular Automata and Lattice Gases |
| url | https://arxiv.org/abs/2406.17464 |