Klobas Katja, De Fazio Cecilia, Garrahan Juan P
School 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.
Phys Rev E. 2024 Aug;110(2):L022101. doi: 10.1103/PhysRevE.110.L022101.
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."
我们研究了与动力学约束伊斯特模型的离散时间版本相对应的经典电路的动力学。我们表明，这个经典的“弗洛凯 - 伊斯特”模型表现出转变前行为，这在动力学上等同于水中的疏水效应。对于该模型的确定性版本，我们精确证明了：（i）非活动时空区域概率随尺寸的标度变化（类似于水中溶剂化自由能的“能量 - 熵”交叉），（ii）动力学大偏差中的一级相变，（iii）存在用于局部相分离以容纳时空溶质的最优几何结构，以及（iv）“疏水塌缩”的动力学类似物。
