A Ginzburg-Landau model for the phase transition in Helium II

被引：10

作者：

Fabrizio, Mauro ^{[1
]}

机构：

[1] Univ Bologna, Dept Math, I-40127 Bologna, Italy

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2010年 / 61卷 / 02期

关键词：

Superfluidity; Ginzburg-Landau equations; Critical fields; Thermodynamics; SUPERFLUID TURBULENCE; THERMODYNAMICS; VELOCITY;

D O I：

10.1007/s00033-009-0011-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with the second-order phase transition in Helium II by a Ginzburg-Landau model, in which any particle has simultaneously a normal and superfluid velocity. This pattern is able to describe the classical effects of Helium II as the phase diagram, the vortices, the second sound and the thermomechanical effect. Finally, the vorticities and turbulence are described by an extension of the model in which the material time derivative is used.

引用

页码：329 / 340

页数：12

共 23 条

[1]

Abrikosov A.A., 1986, Fundamentals of the Theory of Metals

[2]

Bardeen J., 1956, HDB DERPHYSIK, V15, P274

[3]

CHANDRASEKHAR BS, 1969, SUPERCONDUCTIVITY

[4] A nonlocal thermodynamic theory of superconductivity [J].