Constrained Dynamics and Directed Percolation

TL;DR

This paper demonstrates that kinetic constraints can induce a phase transition in classical spin systems, with the transition belonging to the directed percolation universality class in one and two dimensions.

Contribution

It establishes the universality class of the constraint-induced phase transition in classical spin systems through numerical simulations and scaling analyses.

Findings

The phase transition is in the directed percolation universality class.

Kinetic constraints can arrest many-body chaos in classical systems.

The transition occurs in both one and two spatial dimensions.

Abstract

In a recent work [A. Deger et al., Phys. Rev. Lett. 129, 160601 (2022)] we have shown that kinetic constraints can completely arrest many-body chaos in the dynamics of a classical, deterministic, translationally-invariant spin system with the strength of the constraint driving a dynamical phase transition. Using extensive numerical simulations and scaling analyses we demonstrate here that this constraint-induced phase transition lies in the directed percolation universality class in both one and two spatial dimensions.