Upscaling from particle models to entropic gradient flows

N. Dirr; V. Laschos; J. Zimmer

doi:10.1063/1.4726509

Upscaling from particle models to entropic gradient flows

N. Dirr, V. Laschos, J. Zimmer

Research output: Contribution to journal › Article › peer-review

9 Citations (SciVal)

239 Downloads (Pure)

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.

Original language	English
Article number	063704
Journal	Journal of Mathematical Physics
Volume	53
Issue number	6
DOIs	https://doi.org/10.1063/1.4726509
Publication status	Published - 2012

Access to Document

10.1063/1.4726509

Zimmer JMP 2012 53 063704
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
Final published version, 1.81 MB

Cite this

@article{745b311cade44ab499195b8a453d736a,

title = "Upscaling from particle models to entropic gradient flows",

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. ",

author = "N. Dirr and V. Laschos and J. Zimmer",

year = "2012",

doi = "10.1063/1.4726509",

language = "English",

volume = "53",

journal = "Journal of Mathematical Physics",

publisher = "American Institute of Physics",

number = "6",

}

TY - JOUR

T1 - Upscaling from particle models to entropic gradient flows

AU - Dirr, N.

AU - Laschos, V.

AU - Zimmer, J.

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84863503898&partnerID=8YFLogxK

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

U2 - 10.1063/1.4726509

DO - 10.1063/1.4726509

M3 - Article

VL - 53

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 6

M1 - 063704

ER -

Upscaling from particle models to entropic gradient flows

Abstract

Access to Document

Other files and links

Fingerprint

Analysis of Multic-Scale Problems in Mathematical Chemistry

Cite this

Upscaling from particle models to entropic gradient flows

Abstract

Access to Document

Other files and links

Fingerprint

Projects

Analysis of Multic-Scale Problems in Mathematical Chemistry

Cite this