Macrodynamics of Disordered and Frustrated Systems

TL;DR

This paper demonstrates that the macroscopic non-equilibrium behavior of disordered, frustrated, range-free systems can be effectively modeled using deterministic flow equations with suitable order parameters.

Contribution

It introduces a method to derive closed deterministic flow equations for complex disordered systems, simplifying their analysis.

Findings

Macroscopic dynamics can be captured by deterministic equations.

Appropriate order parameters enable effective modeling.

The approach applies to a class of disordered, frustrated systems.

Abstract

It is shown how the macroscopic non-equilibrium dynamics of a class of systems whose microscopic stochastic dynamics involves disordered and frustrated but range-free interactions can be well described by closed deterministic flow equations; this requires an appropriate choice of order parameters/function and ansatze.