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arXiv · 2409.15222

The Stochastic Casimir Effect

Ruibo Kou·Roger Tribe·Oleg Zaboronski
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Abstract

We model the one-dimensional `classical' vacuum by a system of annihilating Brownian motions on $\mathbb{R}$ with pairwise immigration. A pair of reflecting or absorbing walls placed in such a vacuum at separation $L$ experiences an attractive force which decays exponentially with $L$. This phenomenon can be regarded as a purely classical Casimir effect for a system of interacting Brownian motions.

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Ruibo Kou, Roger Tribe, Oleg Zaboronski. 2024-09-23. The Stochastic Casimir Effect. https://arxiv.org/abs/2409.15222

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