Solvation in Space-Time: Pre-transition Effects in Trajectory Space

Abstract

We demonstrate pre-transition effects in space-time in trajectories of systems in which the dynamics displays a first-order phase transition between distinct dynamical phases. These effects are analogous to those observed for thermodynamic first-order phase transitions, most notably the hydrophobic effect in water. Considering the (infinite temperature) East model as an elementary example, we study the properties of "space-time solvation" by examining trajectories where finite space-time regions are conditioned to be inactive in an otherwise active phase. Analogous to ideal hydrophobic solutes in water, we show that solvating an inactive region of space-time within an active trajectory shows two regimes in the dynamical equivalent of solvation free energy: an "entropic" small solute regime in which uncorrelated fluctuations are sufficient to evacuate activity from the solute, and an "energetic" large solute regime which involves the formation of a solute-induced inactive domain with an associated active-inactive interface bearing a dynamical interfacial tension. We also show that as a result of this dynamical interfacial tension there is a dynamical analog of the hydrophobic collapse that drives the assembly of large hydrophobes in water. We discuss the general relevance of these results to the properties of dynamical fluctuations in systems with slow collective relaxation such as glass formers.

arXiv commentUpdated title, made clarifications

References in corpus (29)

• Dynamical quantum phase transitions: a review
• Macroscopic fluctuation theory
• Dynamics on the Way to Forming Glass: Bubbles in Space-time
• Dynamic first-order phase transition in kinetically constrained models of glasses
• First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
• Current fluctuations in non-equilibrium diffusive systems: an additivity principle
• Coarse-grained microscopic model of glass formers
• Thermodynamic formalism for systems with Markov dynamics
• Thermodynamics of Quantum Jump Trajectories
• Distribution of current in non-equilibrium diffusive systems and phase transitions
• Excitations are localized and relaxation is hierarchical in glass-forming liquids
• Dynamical phases and intermittency of the dissipative quantum Ising model
• Spontaneous Symmetry Breaking at the Fluctuating Level
• Dynamical symmetry breaking and phase transitions in driven diffusive systems
• Characterization of dynamical phase transitions in quantum jump trajectories beyond the properties of the stationary state
• Growing Dynamical Facilitation on Approaching the Random Pinning Colloidal Glass Transition
• Finite-temperature critical point of a glass transition
• Space-time thermodynamics and subsystem observables in a kinetically constrained model of glassy systems
• Finite-Size Scaling of a First-Order Dynamical Phase Transition: Adaptive Population Dynamics and an Effective Model
• Large fluctuations and dynamic phase transition in a system of self-propelled particles
• Theory of amorphous ices
• The Role of Solvent Fluctuations in Hydrophobic Assembly
• Generic Dynamical Phase Transition in One-Dimensional Bulk-Driven Lattice Gases with Exclusion
• Dynamic phase transitions in simple driven kinetic networks
• Finite size scaling of the dynamical free-energy in a kinetically constrained model
• Activity phase transition for constrained dynamics
• Order and symmetry-breaking in the fluctuations of driven systems
• Numerical Study of Continuous and Discontinuous Dynamical Phase Transitions for Boundary Driven Systems
• Space-time phase transitions in the East model with a softened kinetic constraint

Cited by in corpus (11)

• Current fluctuations of interacting active Brownian particles
• Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases
• Catching and reversing quantum jumps and thermodynamics of quantum trajectories
• Configuration-tree Theoretical Calculation of the Mean-Squared Displacement of Particles in Glass Formers
• Dynamical coexistence in moderately polydisperse hard-sphere glasses
• Topographic control of order in quasi-2D granular phase transitions
• Exact pre-transition effects in kinetically constrained circuits: dynamical fluctuations in the Floquet-East model
• Theory for Glassy Behavior of Supercooled Liquid Mixtures
• Exact results on the dynamics of the stochastic Floquet-East model
• Long-ranged correlations in large deviations of local clustering
• Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems