2019年10月

# Motion by Mean Curvature from Glauber-Kawasaki Dynamics

JOURNAL OF STATISTICAL PHYSICS
• Tadahisa Funaki
• ,
• Kenkichi Tsunoda

177
2

183

208

DOI
10.1007/s10955-019-02364-7

SPRINGER

We study the hydrodynamic scaling limit for the Glauber-Kawasaki dynamics. It is known that, if the Kawasaki part is speeded up in a diffusive space-time scaling, one can derive the Allen-Cahn equation which is a kind of the reaction-diffusion equation in the limit. This paper concerns the scaling that the Glauber part, which governs the creation and annihilation of particles, is also speeded up but slower than the Kawasaki part. Under such scaling, we derive directly from the particle system the motion by mean curvature for the interfaces separating sparse and dense regions of particles as a combination of the hydrodynamic and sharp interface limits.

リンク情報
DOI
https://doi.org/10.1007/s10955-019-02364-7
arXiv
http://arxiv.org/abs/arXiv:1812.10182
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000487518100001&DestApp=WOS_CPL
Arxiv Url
http://arxiv.org/abs/1812.10182v3
Arxiv Url
http://arxiv.org/pdf/1812.10182v3 本文へのリンクあり

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