SUPERFLUIDITY PHASE TRANSITIONS FOR LIQUID 4HE SYSTEM

被引：0

作者：

Yang, Jiayan ^{[1
]}

Zhang, Dongpei ^{[2
]}

机构：

[1] Southwest Med Univ, Sch Med Informat & Engn, Luzhou 646000, Sichuan, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2019年 / 24卷 / 09期

关键词：

He-4; system; superfluidity; Gibbs free energy; phase transition; BOSE-EINSTEIN CONDENSATION; LAMBDA-TRANSITION; HELIUM; EXISTENCE; MODEL;

D O I：

10.3934/dcdsb.2019045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this paper is to investigate the superfluidity phase transition theory-modeling and analysis-for liquid He-4 system. Based on the new Gibbs free energy and the potential-descending principle proposed recently in [18, 25], the dynamic equations describing the lambda-transition and solid-liquid transition of liquid He-4 system are derived. Further, by the dynamical transition theory, the two obtained models are proven to exhibit Ehrenfest second-order transition and first-order transition, respectively, which are well consistent with the physical experimental results.

引用

页码：5107 / 5120

页数：14

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