Space-time phase transitions in the East model with a softened kinetic constraint

TL;DR

This paper explores how the dynamical phase transition in the East model persists when constraints are softened, revealing a finite-temperature critical point and implications for equilibrium dynamics.

Contribution

It demonstrates that the East model's phase transition extends to softened constraints, identifying a space-time critical point and discussing its impact on equilibrium dynamics.

Findings

Phase transition persists with softened constraints

Existence of a finite-temperature space-time critical point

Implications for understanding glassy dynamics

Abstract

The East model has a dynamical phase transition between an active (fluid) and inactive (glass) state. We show that this phase transition generalizes to "softened" systems where constraint violations are allowed with small but finite probabilities. Moreover, we show that the first order coexistence line separating the active and inactive phases terminates in a finite-temperature space-time critical point. Implications of these results for equilibrium dynamics are discussed.