$1/f$ noise and avalanche scaling in plastic deformation

TL;DR

This paper investigates the noise characteristics of dislocation systems under shear, revealing a $1/f^{1.5}$ power spectrum linked to avalanche dynamics in plastic deformation.

Contribution

It demonstrates a connection between avalanche scaling and $1/f^{rac{3}{2}}$ noise in a dislocation dynamics model, providing insight into plastic deformation intermittency.

Findings

Deformation rate exhibits $1/f^{1.5}$ noise spectrum.

Avalanche durations scale with their size.

Noise characteristics are related to avalanche dynamics.

Abstract

We study the intermittency and noise of dislocation systems undergoing shear deformation. Simulations of a simple two-dimensional discrete dislocation dynamics model indicate that the deformation rate exhibits a power spectrum scaling of the type $1/f^{\alpha}$. The noise exponent is far away from a Lorentzian, with $\alpha \approx 1.5$. This result is directly related to the way the durations of avalanches of plastic deformation activity scale with their size.