The Gibbs ensemble of a vortex filament

被引：19

作者：

Flandoli, F

Gubinelli, M

机构：

[1] Univ Pisa, Dipartimento Matemat Applicata, I-56126 Pisa, Italy

[2] Univ Pisa, Dipartimento Fis, I-56127 Pisa, Italy

[3] Univ Pisa, Ist Nazl Fis Nucl, Sezione Pisa, I-56127 Pisa, Italy

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2002年 / 122卷 / 03期

关键词：

Vortex; Stochastic Process; Partition Function; Limited Range; Incompressible Fluid;

D O I：

10.1007/s004400100163

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We introduce a statistical ensemble for a single vortex filament of a three dimensional incompressible fluid. The core of the vortex is modeled by a quite generic stochastic process. We prove the existence of the partition function for both positive and a limited range of negative temperatures.

引用

页码：317 / 340

页数：24

共 21 条

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[Anonymous], LECT NOTES MATH

[2] VORTICITY INTENSIFICATION AND TRANSITION TO TURBULENCE IN THE 3-DIMENSIONAL EULER EQUATIONS [J].