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
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
收藏
页码:317 / 340
页数:24
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