Effective Temperature Dynamics in an Athermal Amorphous Plasticity Theory

TL;DR

This paper develops an athermal dynamic theory for the effective disorder temperature in amorphous plasticity, linking it to recent simulation data and providing insights into transient behaviors and parameter structures.

Contribution

It introduces a new athermal dynamic framework for the effective temperature in amorphous materials, connecting theory with recent simulation results.

Findings

The theory aligns with recent steady state simulations.

Transient dynamics of the effective temperature are characterized.

Parameters of the model are discussed in relation to experimental data.

Abstract

Recent developments in the theory of amorphous plasticity point to the central role played by the concept of an effective disorder temperature $T_{eff}$. An athermal dynamics for $T_{eff}$ are proposed in the framework of a deformation theory and discussed in light of the recent steady state simulations by Haxton and Liu [Phys. Rev. Lett. {\bf 99}, 195701 (2007)]. The structure of the resulting theory, its parameters and transient dynamics are discussed and compared to available data.