On the theory of KM2O-Langevin equations for stationary flows (1):: characterization theorem

被引：9

作者：

Okabe, Y ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch, Dept Math Engn & Informat Phys, Bunkyo Ku, Tokyo 1138656, Japan

[2] Univ Tokyo, Fac Engn, Bunkyo Ku, Tokyo 1138656, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 1999年 / 51卷 / 04期

关键词：

pair of flows; stationarity; dissipation-dissipation theorem; fluctuation-dissipation theorem; KM2O-Langevin matrix;

D O I：

10.2969/jmsj/05140817

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a notion of stationarity for the pair of flows in a metric vector space and characterize it in such a way that there exist two relations, called a dissipation-dissipation theorem and a fluctuation-dissipation theorem, among the KM2O-Langevin matrix associated with the pair of flows.

引用

页码：817 / 841

页数：25

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