The Hydrodynamic Limit for Local Mean-Field Dynamics with Unbounded Spins

被引：1

作者：

Bovier, Anton ^{[1
]}

Ioffe, Dmitry ^{[2
]}

Mueller, Patrick ^{[3
]}

机构：

[1] Rhein Friedrich Wilhelms Univ, Inst Angew Math, Endenicher Allee 60, D-53115 Bonn, Germany

[2] Technion, William Davidson Fac Ind Engn & Management, IL-32000 Haifa, Israel

[3] Boston Consulting Grp Inc, Mediapk 8, D-50670 Cologne, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 2018年 / 172卷 / 02期

关键词：

Interacting diffusions; Local mean-field; McKean-Vlasov equation; Hydrodynamic limit; MODEL; DIFFUSIONS;

D O I：

10.1007/s10955-018-2069-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the dynamics of a class of spin systems with unbounded spins interacting with local mean-field interactions. We prove convergence of the empirical measure to the solution of a McKean-Vlasov equation in the hydrodynamic limit and propagation of chaos. This extends earlier results of Gartner, Comets and others for bounded spins or strict mean-field interactions.

引用

页码：434 / 457

页数：24

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