Quasi-periodic events in crystal plasticity and the self-organized avalanche oscillator

TL;DR

This paper investigates how slow dislocation relaxations in microcrystals lead to quasi-periodic avalanches and a novel self-organized oscillatory critical state, combining experiments, theory, and simulations.

Contribution

It introduces the concept of the self-organized avalanche oscillator, extending dislocation avalanche models to include relaxation effects and explaining experimental observations.

Findings

Quasi-periodic avalanche bursts observed at low strain rates.

Emergence of a self-organized oscillatory critical state.

Experimental results match theoretical predictions.

Abstract

When external stresses in a system - physical, social or virtual - are relieved through impulsive events, it is natural to focus on the attributes of these avalanches. However, during the quiescent periods in between, stresses may be relieved through competing processes, such as slowly flowing water between earthquakes or thermally activated dislocation flow between plastic bursts. Such unassuming, smooth responses can have dramatic effects on the avalanche properties. Here we report a thorough experimental investigation of slowly compressed Ni microcrystals, covering three orders of magnitude in nominal strain rate, that exhibits unconventional quasi-periodic avalanche bursts and higher critical exponents as the strain rate is decreased. Our analytic and computational study naturally extends dislocation avalanche modeling to incorporate dislocation relaxations and reveals the emergence of the self-organized avalanche oscillator, a novel critical state exhibiting oscillatory approaches toward a depinning critical point. We demonstrate that the predictions of our theory are faithfully exhibited in our experiments.