A quantitative hydrodynamic limit of the Kawasaki dynamics

被引：0

作者：

Dizdar, Deniz ^{[1
]}

Menz, Georg ^{[2
]}

Otto, Felix ^{[3
]}

Wu, Tianqi ^{[4
]}

机构：

[1] Univ Montreal, Montreal, PQ, Canada

[2] UCLA, Los Angeles, CA USA

[3] Max Planck Inst Math Sci, Berlin, Germany

[4] Technion, Haifa, Israel

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2024年 / 29卷

关键词：

two-scale approach; logarithmic Sobolev inequality; spin system; Kawasaki dynamics; canonical ensemble; coarse-graining; splines; Galerkin approximation; LOGARITHMIC SOBOLEV INEQUALITIES; GAMMA-CONVERGENCE; EQUILIBRIUM FLUCTUATIONS; LARGE-DEVIATIONS; 2-SCALE APPROACH; GRADIENT FLOWS;

D O I：

10.1214/24-EJP1248

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We derive a rate of convergence to the hydrodynamic limit of the Kawasaki dynamics for a one-dimensional lattice spin system as considered by Guo, Papanicolaou and Varadhan. We follow the two-scale approach of Grunewald, Villani, Westdickenberg, and the middle author. However, we use a different coarse-graining operator that allows us to leverage the gradient flow structure. As a consequence, we obtain a better convergence rate.

引用

页数：58

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