THE GENERALIZED EINSTEIN RELATION ON A COMPACT ORIENTABLE RIMANNIAN MANIFOLD

数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (4): 409-416.

THE GENERALIZED EINSTEIN RELATION ON A COMPACT ORIENTABLE RIMANNIAN MANIFOLD

方海涛, 龚光鲁

Department of Applied Mathematics, Tsinghua University, Peking 10084, China

收稿日期:1992-07-17 修回日期:1993-02-04 出版日期:1994-12-25 发布日期:1994-12-25

THE GENERALIZED EINSTEIN RELATION ON A COMPACT ORIENTABLE RIMANNIAN MANIFOLD

Fang Haito, Gong Guanglu

Department of Applied Mathematics, Tsinghua University, Peking 10084, China

Received:1992-07-17 Revised:1993-02-04 Online:1994-12-25 Published:1994-12-25

摘要/Abstract

摘要： A generalized Einstein relation is established for a drifted Brownian motion on a compact orientable Remannian manifole. The original form of such relation comes from an explicit formula of diffusion coeffcient by using the autocorrelation function of the velocity of the Einstein fluctuation theory of the diffusion process.

方海涛, 龚光鲁. THE GENERALIZED EINSTEIN RELATION ON A COMPACT ORIENTABLE RIMANNIAN MANIFOLD[J]. 数学物理学报(英文版), 1994, 14(4): 409-416.

Fang Haito, Gong Guanglu. THE GENERALIZED EINSTEIN RELATION ON A COMPACT ORIENTABLE RIMANNIAN MANIFOLD[J]. Acta mathematica scientia,Series B, 1994, 14(4): 409-416.

THE GENERALIZED EINSTEIN RELATION ON A COMPACT ORIENTABLE RIMANNIAN MANIFOLD

THE GENERALIZED EINSTEIN RELATION ON A COMPACT ORIENTABLE RIMANNIAN MANIFOLD

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