dorsal/arxiv
View SchemaRelativistic Brownian Motion
| Authors | O. Oron, L. P. Horwitz |
|---|---|
| Categories | |
| ArXiv ID | physics/0212036 |
| URL | https://arxiv.org/abs/physics/0212036 |
| Journal | Rel.Grav.Cosmol. 1 (2004) 109-122 |
Abstract
We solve the problem of formulating Brownian motion in a relativistically covariant framework in 1+1 and 3+1 dimensions. We obtain covariant Fokker-Planck equations with (for the isotropic case) a differential operator of invariant d'Alembert form. Treating the spacelike and timelike fluctuations separately, we show that it is essential to take into account the analytic continuation of "unphysical" fluctuations in order to achieve these results.
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"abstract": "We solve the problem of formulating Brownian motion in a relativistically\ncovariant framework in 1+1 and 3+1 dimensions. We obtain covariant\nFokker-Planck equations with (for the isotropic case) a differential operator\nof invariant d\u0027Alembert form. Treating the spacelike and timelike fluctuations\nseparately, we show that it is essential to take into account the analytic\ncontinuation of \"unphysical\" fluctuations in order to achieve these results.",
"arxiv_id": "physics/0212036",
"authors": [
"O. Oron",
"L. P. Horwitz"
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"journal_ref": "Rel.Grav.Cosmol. 1 (2004) 109-122",
"title": "Relativistic Brownian Motion",
"url": "https://arxiv.org/abs/physics/0212036"
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