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Journal Article

Diffusion in multiscale spacetimes

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Calcagni,  Gianluca
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1205.5046.pdf
(Preprint), 531KB

PRE87_012123.pdf
(Any fulltext), 568KB

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Citation

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


Cite as: http://hdl.handle.net/11858/00-001M-0000-0015-199E-2
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.