# Glassy dynamics in disordered oscillator chains

## TL;DR

This paper investigates how energy dissipates or localizes in a disordered chain of nonlinear oscillators, revealing fractal disorder effects and classical many-body localization phenomena through numerical simulations.

## Contribution

It demonstrates that fractal disorder patterns lead to stretched exponential energy decay and provides evidence for classical many-body localization at low temperatures.

## Key findings

- Energy decay fits stretched exponential with variable exponent
- Fractal disorder influences energy trapping
- Evidence of classical many-body localization at low temperature

## Abstract

The escape of energy injected into one site in a disordered chain of nonlinear oscillators is examined numerically. When the disorder has a `fractal' pattern, the decay of the residual energy at the injection site can be fit to a stretched exponential with an exponent that varies continuously with the control parameter. At low temperature, we see evidence that energy can be trapped for an infinte time at the original site, i.e. classical many body localization.