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  Diffusion in Curved Spacetimes

Smerlak, M. (2012). Diffusion in Curved Spacetimes. New Journal of Physics, 14: 023019. doi:10.1088/1367-2630/14/2/023019.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-4841-5 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-4842-3
Genre: Journal Article

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1104.3303 (Preprint), 206KB
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 Creators:
Smerlak, Matteo1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,General Relativity and Quantum Cosmology, gr-qc
 Abstract: Using simple kinematical arguments, we derive the Fokker-Planck equation for diffusion processes in curved spacetimes. In the case of Brownian motion, it coincides with Eckart's relativistic heat equation (albeit in a simpler form), and therefore provides a microscopic justification for his phenomenological heat-flux ansatz. Furthermore, we obtain the small-time asymptotic expansion of the mean square displacement of Brownian motion in static spacetimes. Beyond general relativity itself, this result has potential applications in analogue gravitational systems.

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 Dates: 2011-04-172011-11-182012
 Publication Status: Published in print
 Pages: 14 pages, substantially revised version
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1104.3303
DOI: 10.1088/1367-2630/14/2/023019
 Degree: -

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Title: New Journal of Physics
  Other : New J. Phys.
Source Genre: Journal
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Publ. Info: Bristol, UK : Institute of Physics Pub.
Pages: - Volume / Issue: 14 Sequence Number: 023019 Start / End Page: - Identifier: ISSN: 1367-2630
CoNE: /journals/resource/954926913666