Description of Fischer Clusters Formation in Supercooled Liquids Within Framework of Continual Theory of Defects

TL;DR

This paper models supercooled liquids as disclination systems using gauge theory, explaining Fischer cluster formation and slow dynamics near the glass transition as a hierarchical phase transition.

Contribution

It introduces a gauge theory-based model describing liquids as disordered topological defect systems, linking defect interactions to vitrification and cluster formation.

Findings

Derived expressions for disclination fields and interactions.

Linked defect model to Edwards--Anderson model with long-range interactions.

Explained Fischer cluster formation and slow dynamics near glass transition.

Abstract

Liquid is represented as complicated system of disclinations according to defect description of liquids and glasses. The expressions for the linear disclination field of an arbitrary form and energy of inter-disclination interaction are derived in the framework of gauge theory of defects. It allows us to describe liquid as a disordered system of topological moments and reduce this model to the Edwards--Anderson model with large-range interaction. Within the framework of this approach vitrifying is represented as a "hierarchical" phase transition. The suggested model allows us to explain the process of the Fischer clusters formation and the slow dynamics in supercooled liquids close to the liquid--glass transition point.