Exact pretransition effects in kinetically constrained circuits: Dynamical fluctuations in the Floquet-East model

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

Abstract

We study the dynamics of a classical circuit corresponding to a discrete-time version of the kinetically constrained East model. We show that this classical "Floquet-East" model displays pre-transition behavior 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."

Citation

Klobas, K., De Fazio, C., & Garrahan, J. P. (2024). Exact pretransition effects in kinetically constrained circuits: Dynamical fluctuations in the Floquet-East model. Physical Review E, 110(2), Article L022101. https://doi.org/10.1103/physreve.110.l022101

• Journal Article Type: Letter
• Acceptance Date: Jul 2, 2024
• Online Publication Date: Aug 1, 2024
• Publication Date: Aug 1, 2024
• Deposit Date: Sep 11, 2024
• Publicly Available Date: Sep 11, 2024
• Journal: Physical Review E
• Print ISSN: 2470-0045
• Electronic ISSN: 2470-0053
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 110
• Issue: 2
• Article Number: L022101
• DOI: https://doi.org/10.1103/physreve.110.l022101
• Public URL: https://nottingham-repository.worktribe.com/output/37949744
• Publisher URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.110.L022101