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  Diffusion in multiscale spacetimes

Calcagni, G. (2013). Diffusion in multiscale spacetimes. Physical Review E, 87: 012123. doi:10.1103/PhysRevE.87.012123.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-199E-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-199F-F
Genre: Journal Article

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 Creators:
Calcagni, Gianluca1, 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: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: We study diffusion processes in anomalous spacetimes regarded as models of quantum geometry. Several types of diffusion equation and their solutions are presented and the associated stochastic processes are identified. These results are partly based on the literature in probability and percolation theory but their physical interpretation here is different since they apply to quantum spacetime itself. The case of multiscale (in particular, multifractal) spacetimes is then considered through a number of examples and the most general spectral-dimension profile of multifractional spaces is constructed.

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 Dates: 2012-05-222013-01-182013
 Publication Status: Published in print
 Pages: 23 pages, 5 figures. v2: discussion improved, typos corrected, references added
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1205.5046
DOI: 10.1103/PhysRevE.87.012123
URI: http://arxiv.org/abs/1205.5046
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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: - Volume / Issue: 87 Sequence Number: 012123 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: /journals/resource/954925225012