Applicability and non-applicability of equilibrium statistical mechanics to non-thermal damage phenomena: II. Spinodal behavior

TL;DR

This paper explores the spinodal behavior in non-thermal damage phenomena using a fiber-bundle model, revealing meanfield power-law scaling near the spinodal point and identifying typical meanfield exponents.

Contribution

It demonstrates the applicability of meanfield statistical mechanics to non-thermal damage models and characterizes their critical spinodal behavior.

Findings

Power-law scaling near the spinodal point

Meanfield exponents are identified

Spinodal behavior aligns with meanfield predictions

Abstract

This paper investigates the spinodal behavior of non-thermal damage phenomena. As an example, a non-thermal fiber-bundle model with the global uniform (meanfield) load sharing is considered. In the vicinity of the spinodal point the power-law scaling behavior is found. For the meanfield fiber-bundle model the spinodal exponents are found to have typical meanfield values.