STATISTICAL-MECHANICS OF EULER EQUATIONS IN 2 DIMENSIONS

被引：359

作者：

MILLER, J ^{[1
]}

机构：

[1] CALTECH,PASADENA,CA 91125

来源：

PHYSICAL REVIEW LETTERS | 1990年 / 65卷 / 17期

关键词：

D O I：

10.1103/PhysRevLett.65.2137

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We formulate the statistical mechanics of a two-dimensional inviscid incompressible fluid in a manner which, for the first time, respects all conservation laws. For a special case, we demonstrate that a mean-field theory is exact. A consequence of our arguments is that, in an inviscid fluid evolving from initial conditions to statistical equilibrium, only the energy and certain one-body integrals appear to be conserved. Our methods may be applied to a variety of Hamiltonian systems possessing an infinite number of conservation laws. © 1990 The American Physical Society.

引用

页码：2137 / 2140

页数：4

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