Memory time fluctuations and instabilities in random media

TL;DR

This paper investigates how fluctuations in memory time can cause instabilities and unbounded growth of statistical moments in random media, exemplified by light propagation in a universe with curvature fluctuations.

Contribution

It introduces the concept that memory time fluctuations lead to instabilities and demonstrates this effect in a cosmological context.

Findings

Memory fluctuations can cause infinite growth of statistical moments.

Light propagation in a universe with curvature fluctuations exhibits these instabilities.

The study links memory fluctuations to potential instabilities in random media.

Abstract

The role of memory time fluctuations for instabilities in random media is considered. It is shown that fluctuations can result in infinitely fast growth of statistical moments. The effect is demonstrated in the framework of light propagation in the Universe, which contains curvature fluctuations while remaining homogeneous and isotropic on average.