Glass transition in models with controlled frustration

TL;DR

This paper investigates models with varying degrees of frustration, revealing a region with glassy dynamics and proposing a transition similar to p-spin models, with potential changes in replica symmetry breaking behavior.

Contribution

It introduces a class of models with controlled frustration, exploring their glassy dynamics and possible phase transitions, bridging trivial and fully frustrated cases.

Findings

Identification of a local frustration region with glassy dynamics

Proposal of a p-spin like transition in the mean field model

Potential crossover from 1-step to continuous replica symmetry breaking

Abstract

A class of models with self-generated disorder and controlled frustration is studied. Between the trivial case, where frustration is not present at all, and the limit case, where frustration is present over every length scale, a region with local frustration is found where glassy dynamics appears. We suggest that in this region, the mean field model might undergo a p-spin like transition, and increasing the range of frustration, a crossover from a 1-step replica symmetry breaking to a continuous one might be observed.