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Exact pretransition effects in kinetically constrained circuits: Dynamical fluctuations in the Floquet-East model
Katja Klobas1, Cecilia De Fazio1, Juan P Garrahan1
1School of Physics and Astronomy, <a href="https://ror.org/01ee9ar58">University of Nottingham</a>, Nottingham NG7 2RD, United Kingdom and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, <a href="https://ror.org/01ee9ar58">University of Nottingham</a>, Nottingham NG7 2RD, United Kingdom.
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."
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