Hydrodynamic Limit of the Kawasaki Dynamics on the 1d-lattice with Strong, Finite-Range Interaction

被引：0
|
作者：
Younghak Kwon
Georg Menz
Kyeongsik Nam
机构：
[1] University of California,Department of Mathematics
[2] KAIST,Department of Mathematical Sciences
来源：
Annales Henri Poincaré | 2023年 / 24卷
关键词：
Primary 26D10; Secondary 82B05; 82B20;
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摘要：
We derive the hydrodynamic limit of the Kawasaki dynamics for the one-dimensional conservative system of unbounded real-valued spins with arbitrary strong, quadratic and finite-range interactions. This significantly extends prior results for bounded interaction by Rezakhanlou and complements results obtained by H.T. Yau. The result is obtained by adapting two-scale approach of Grunewald, Otto, Villani and Westdickenberg combined with the authors’ recent approach on conservative systems with strong interactions.
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页码：2483 / 2536
页数：53
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