STATISTICAL DYNAMICS OF THE LORENZ MODEL

被引：19

作者：

KNOBLOCH, E ^{[1
]}

机构：

[1] HARVARD COLL OBSERV, SMITHSONIAN ASTROPHYS OBSERV, CAMBRIDGE, MA 02138 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 1979年 / 20卷 / 06期

关键词：

fluctuation spectra; random behavior of nonlinear differential equations; Rayleigh-Bénard layer; stochastic differential equations; Turbulence;

D O I：

10.1007/BF01009519

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We use the theory of stochastic differential equations with rapidly fluctuating coefficients to study the statistical dynamics of the Lorenz model in the turbulent region. On the assumption that the system is ergodic we are able to calculate self-consistently several basic statistical quantities in terms of the parameters of the model. Our results are in good agreement with numerical computations. © 1979 Plenum Publishing Corporation.

引用

页码：695 / 709

页数：15

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