2024/09/23 by Ruibo Kou, Kou, Ruibo, Roger Tribe +3
Physics and Astronomy · #81T55 #82C22 #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.2409.15222
openalex publication_date 2024/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We model the one-dimensional `classical' vacuum by a system of annihilating Brownian motions on 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.