Upscaling from particle models to entropic gradient flows

Dirr, Nicolas ORCID: https://orcid.org/0000-0003-3634-7367, Laschos, Vaios and Zimmer, Johannes 2012. Upscaling from particle models to entropic gradient flows. Journal of Mathematical Physics 53 (6) , 063704. 10.1063/1.4726509

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Abstract

We prove that, for the case of Gaussians on the real line, the functional derived by a time discretization of the diffusion equation as entropic gradient flow is asymptotically equivalent to the rate functional derived from the underlying microscopic process. This result strengthens a conjecture that the same statement is actually true for all measures with second finite moment.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Additional Information:	9 pages.
Publisher:	American Institute of Physics
ISSN:	0022-2488
Last Modified:	20 Oct 2022 09:08
URI:	https://orca.cardiff.ac.uk/id/eprint/30812

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