The Stochastic Casimir Effect
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909323268980736 |
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| author | Kou, Ruibo Tribe, Roger Zaboronski, Oleg |
| author_facet | Kou, Ruibo Tribe, Roger Zaboronski, Oleg |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_15222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Stochastic Casimir Effect Kou, Ruibo Tribe, Roger Zaboronski, Oleg Probability Mathematical Physics 82C22, 81T55 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. |
| title | The Stochastic Casimir Effect |
| topic | Probability Mathematical Physics 82C22, 81T55 |
| url | https://arxiv.org/abs/2409.15222 |