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Updated: May 14, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Diffusion in multiscale spacetimes
1Albert Einstein Institute, Max Planck Institute for Gravitational Physics, Am Mühlenberg 1, D-14476 Golm, Germany. calcagni@iem.cfmac.csic.es
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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