A thermodynamically consistent Ginzburg-Landau model for superfluid transition in liquid helium

Berti A.; Berti V.

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >A thermodynamically consistent Ginzburg-Landau model for superfluid transition in liquid helium

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A thermodynamically consistent Ginzburg-Landau model for superfluid transition in liquid helium

机译：液氦中超流体跃迁的热力学一致Ginzburg-Landau模型

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In this paper, we propose a thermodynamically consistent model for superfluid-normal phase transition in liquid helium, accounting for variations of temperature and density. The phase transition is described by means of an order parameter, according to the Ginzburg-Landau theory, emphasizing the analogies between superfluidity and superconductivity. The normal component of the velocity is assumed to be compressible, and the usual phase diagram of liquid helium is recovered. Moreover, the continuity equation leads to a dependence between density and temperature in agreement with the experimental data.

机译：在本文中，我们提出了液氦超流体-正态相变的热力学一致模型，该模型考虑了温度和密度的变化。根据Ginzburg-Landau理论，通过阶跃参数描述了相变，强调了超流动性和超导性之间的类比。假定速度的正态分量是可压缩的，并且恢复了液氦的通常相图。而且，连续性方程导致密度和温度之间的相关性与实验数据一致。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2013年第4期|共11页
作者
Berti A.; Berti V.;
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原文格式 PDF
正文语种 eng
中图分类 51.9;
关键词
Ginzburg-Landau equation; Second-order phase transitions; Superfluids; Thermodynamics;

机译：Ginzburg-Landau方程;二阶相变;超流体;热力学;

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1. A thermodynamically consistent Ginzburg-Landau model for superfluid transition in liquid helium [J] . Berti A., Berti V. ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees . 2013,第4期

机译：液氦中超流体跃迁的热力学一致Ginzburg-Landau模型
2. Thermodynamics and Nucleation of Bubbles in Normal and Superfluid Liquid Helium-4 at Negative Pressures [J] . Stephen C. Hall, Humphrey J. Maris Journal of Low Temperature Physics . 1997,第3a4期

机译：负压下正常和超流体氦4中气泡的热力学和成核
3. Kerr Effect in Liquid Helium at Temperatures Below the Superfluid Transition [J] . A. O. Sushkov, E. Williams, V.V. Yashchuk, Physical review letters . 2004,第15期

机译：温度低于超流体转变温度时液氦中的Kerr效应
4. Implementation of the thermodynamic and phase transition equations of superfluid helium in CFD software [C] . R Bruce, S Pascali, C Vendramini Advances in Cryogenic Engineering: Proceedings of the Cryogenic Engineering Conference . 2016

机译：CFD软件中超流氦的热力学和相变方程的实现
5. Experiments with superfluid oscillators: Design and microfabrication of a superfluid gyroscope; modulation of a helium-4 rf SQUID analog by the earth's rotation; vortex nucleation in superfluid helium-4. [D] . Schwab, Keith Charles. 1996

机译：超流体振荡器的实验：超流体陀螺仪的设计和微制造；通过地球自转来调制氦4 rf SQUID氦气模拟物；超流氦4中的涡旋形核。
6. The A-B transition in superfluid helium-3 under confinement in a thin slab geometry [O] . N. Zhelev, T. S. Abhilash, E. N. Smith, -1

机译：限制在薄板几何中的超流氦3中的A-B跃迁
7. A THERMODYNAMICALLY CONSISTENT GINZBURG-LANDAU MODEL FOR SUPERFLUID TRANSITION IN LIQUID HELIUM [O] . Alessia Berti, Valeria Berti 2016

机译：一种热力学一致的GINZBURG-LaNDaU模型用于液态氦的超流体转变
8. Hypersonic Attenuation in the Vicintiy of the Superfluid Transition of Liquid Helium [R] . Commins, D. E. 1972

机译：液氦超流体跃迁中高超声速衰减

A thermodynamically consistent Ginzburg-Landau model for superfluid transition in liquid helium

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