Glassy Transition and Aging in a Model without Disorder

TL;DR

This paper investigates the off-equilibrium dynamics of a disorder-free model, revealing aging and ergodicity breaking phenomena similar to those in spin glasses, thus extending mode coupling theory to new contexts.

Contribution

It introduces a generalized mode coupling framework for a disorder-free $ ext{phi}^3$ field theory, demonstrating complex glassy behaviors without disorder.

Findings

Aging phenomena observed at low temperatures.

Ergodicity breaking occurs in the model.

Complex dynamics akin to spin glasses are present.

Abstract

We study the off-equilibrium relaxational dynamics of the Amit-Roginsky $\phi^3$ field theory, for which the mode coupling approximation is exact. We show that complex phenomena such as aging and ergodicity breaking are present at low temperature, similarly to what is found in long range spin glasses. This is a generalization of mode coupling theory of the structural glass transition to off-equilibrium situations.