Research

Upscaling from particle models to entropic gradient flows


Reference:

Dirr, N., Laschos, V. and Zimmer, J., 2012. Upscaling from particle models to entropic gradient flows. Journal of Mathematical Physics, 53 (6), 063704.

Related documents:

[img]
Preview
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (1853kB) | Preview

    Official URL:

    http://dx.doi.org/10.1063/1.4726509

    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.

    Details

    Item Type Articles
    CreatorsDirr, N., Laschos, V. and Zimmer, J.
    DOI10.1063/1.4726509
    DepartmentsFaculty of Science > Mathematical Sciences
    Publisher StatementZimmer_JMP_2012_53_063704.pdf: Copyright (2012) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Dirr, N., Laschos, V. and Zimmer, J., 2012. Upscaling from particle models to entropic gradient flows. Journal of Mathematical Physics, 53 (6), 063704 and may be found at http://dx.doi.org/10.1063/1.4726509
    RefereedYes
    StatusPublished
    ID Code31043

    Export

    Actions (login required)

    View Item

    Document Downloads

    More statistics for this item...