Stochastic particle creation: from the dynamical Casimir effect to cosmology

TL;DR

This paper investigates stochastic particle creation in a cavity due to random wall motion, comparing it with deterministic effects and exploring implications for cosmological particle creation through advanced analytical methods.

Contribution

It introduces a stochastic model for the dynamical Casimir effect and applies multiple scale analysis to account for stochastic parametric resonance, linking it to cosmological particle creation.

Findings

Stochastic wall motion enhances particle creation compared to deterministic cases.

Mode coupling due to stochastic motion is significant for particle production.

Single-mode equations resemble those in stochastic cosmological particle creation.

Abstract

We study a stochastic version of the dynamical Casimir effect, computing the particle creation inside a cavity produced by a random motion of one of its walls. We first present a calculation perturbative in the amplitude of the motion. We compare the stochastic particle creation with the deterministic counterpart. Then we go beyond the perturbative evaluation using a stochastic version of the multiple scale analysis, that takes into account stochastic parametric resonance. We stress the relevance of the coupling between the different modes induced by the stochastic motion. In the single-mode approximation, the equations are formally analogous to those that describe the stochastic particle creation in a cosmological context, that we rederive using multiple scale analysis.