Description of paramagnetic--spin glass transition in Edwards-Anderson model in terms of critical dynamics

TL;DR

This paper explores the glass transition in the Edwards-Anderson model through critical dynamics, deriving a generalized Vogel-Fulcher law and analyzing the role of relaxation time hierarchies.

Contribution

It introduces a critical dynamics framework for describing the paramagnetic-spin glass transition and derives a generalized Vogel-Fulcher law within this context.

Findings

Derivation of a generalized Vogel-Fulcher law for system relaxation time.

Demonstration that the system obeys the fluctuating-dissipative theorem without relaxation time hierarchy.

Insight into the role of intermodal relaxation time hierarchy in glass transition behavior.

Abstract

Possibility of description of the glass transition in terms of critical dynamics considering a hierarchy of the intermodal relaxation time is shown. The generalized Vogel-Fulcher law for the system relaxation time is derived in terms of this approach. It is shown that the system satisfies the fluctuating--dissipative theorem in case of the absence of the intermodal relaxation time hierarchy.