Exact pre-transition effects in kinetically constrained circuits: dynamical fluctuations in the Floquet-East model
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866917777995988992 |
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| author | Klobas, Katja De Fazio, Cecilia Garrahan, Juan P. |
| author_facet | Klobas, Katja De Fazio, Cecilia Garrahan, Juan P. |
| contents | We study the dynamics of a classical circuit corresponding to a discrete-time kinetically constrained East model. We show that this classical "Floquet-East" model displays pre-transition behaviour which is a dynamical equivalent of the hydrophobic effect in water. For the deterministic version of the model we prove exactly: (i) a change in scaling with size in the probability of inactive space-time regions (akin to the "energy-entropy" crossover of the solvation free energy in water), (ii) a first-order phase transition in the dynamical large deviations, (iii) the existence of the optimal geometry for local phase separation to accommodate space-time solutes, and (iv) a dynamical analog of "hydrophobic collapse". |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07423 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Exact pre-transition effects in kinetically constrained circuits: dynamical fluctuations in the Floquet-East model Klobas, Katja De Fazio, Cecilia Garrahan, Juan P. Statistical Mechanics Cellular Automata and Lattice Gases We study the dynamics of a classical circuit corresponding to a discrete-time kinetically constrained East model. We show that this classical "Floquet-East" model displays pre-transition behaviour which is a dynamical equivalent of the hydrophobic effect in water. For the deterministic version of the model we prove exactly: (i) a change in scaling with size in the probability of inactive space-time regions (akin to the "energy-entropy" crossover of the solvation free energy in water), (ii) a first-order phase transition in the dynamical large deviations, (iii) the existence of the optimal geometry for local phase separation to accommodate space-time solutes, and (iv) a dynamical analog of "hydrophobic collapse". |
| title | Exact pre-transition effects in kinetically constrained circuits: dynamical fluctuations in the Floquet-East model |
| topic | Statistical Mechanics Cellular Automata and Lattice Gases |
| url | https://arxiv.org/abs/2305.07423 |