TY - UNPB
T1 - Exact "hydrophobicity" in deterministic circuits
T2 - dynamical fluctuations in the Floquet-East model
AU - Klobas, Katja
AU - De Fazio, Cecilia
AU - Garrahan, Juan P.
PY - 2023/5/12
Y1 - 2023/5/12
N2 - We study the dynamics of a classical circuit corresponding to a discrete-time deterministic kinetically constrained East model. We show that -- despite being deterministic -- this "Floquet-East" model displays pre-transition behaviour, which is a dynamical equivalent of the hydrophobic effect in water. By means of exact calculations we prove: (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". We discuss implications of these exact results for circuit dynamics more generally.
AB - We study the dynamics of a classical circuit corresponding to a discrete-time deterministic kinetically constrained East model. We show that -- despite being deterministic -- this "Floquet-East" model displays pre-transition behaviour, which is a dynamical equivalent of the hydrophobic effect in water. By means of exact calculations we prove: (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". We discuss implications of these exact results for circuit dynamics more generally.
UR - https://publons.com/wos-op/publon/62731942/
U2 - 10.48550/arXiv.2305.07423
DO - 10.48550/arXiv.2305.07423
M3 - Preprint
BT - Exact "hydrophobicity" in deterministic circuits
PB - arXiv
ER -