Onset of reptations and critical hysteretic behavior in disordered systems

TL;DR

This paper investigates the critical phenomena in hysteretic behavior of disordered systems using a zero-temperature Ising model, revealing a phase transition associated with reptations and minor loop closure loss.

Contribution

It introduces a mean-field and numerical analysis of reptations and hysteresis in a disordered Ising model, highlighting a critical transition in hysteretic behavior.

Findings

Power law scaling of minor loop reptations observed

Critical transition associated with loss of minor loop closure

Numerical and mean-field models agree on critical behavior

Abstract

Zero-temperature random coercivity Ising model with antiferromagnetic-like interactions is used to study closure of minor hysteresis loops and wiping-out property (Return Point Memory) in hysteretic behavior. Numerical simulations in two dimensions as well as mean-field modeling show a critical phenomenon in the hysteretic behavior associated with the loss of minor loop closure and the onset of reptations. Power law scaling of the extent of minor loop reptations is observed.