一个一维CI相变模型的进一步研究

计算物理 ›› 1998, Vol. 15 ›› Issue (4): 397-402.

一个一维CI相变模型的进一步研究

许爱国^1,2, 王光瑞^1,2, 陈式刚², 张广才¹

1. 中国工程物理研究院研究生部, 北京8009信箱30分箱 100088;
2. 北京应用物理与计算数学研究所非线性中心, 北京8009信箱28分箱 100088

收稿日期:1996-09-24 修回日期:1997-04-28 出版日期:1998-07-25 发布日期:1998-07-25
作者简介:许爱国,男,29,博士生,北京8009信箱30分箱
基金资助:
This work was supported by the National Natural Science Foundation of China and Science Foundation of China Academy of Engineering Physics

Further Study to a One-Dimensional CI Transition Model

Xu Aiguo^1,2, Wang Guangrui^1,2, Chen Shigang², Zhang Guangcai¹

1. Graduate School, China Academy of Engineering Physics, Beijing 100088;
2. Center for nonlinear studies, Institute of Applied Physics and Com putational Mathematics, Beijing 100088

Received:1996-09-24 Revised:1997-04-28 Online:1998-07-25 Published:1998-07-25
Supported by:
This work was supported by the National Natural Science Foundation of China and Science Foundation of China Academy of Engineering Physics

摘要/Abstract

摘要： 对一个一维CI相变模型进行进一步研究。外势周期D具有一个临界值Dc。D < c时的相图与D > c时的相图非常地不同。当D < c时,相图随D而变化,且在D的大部分区域显示出Farey树结构。当D > c时,相图不再变化,且不满足Farey树结构。通过有效势F(u)研究了相变过程。

关键词: CI相变, Farey树, 有效势

Abstract: A further study to a one-dimensional CI transition model is given.The period of the external potential D has a critical value Dc.The phase diagram in the case of D < c is greatly different from that in the case of D > c.When D < c,the phase diagram varies with D and exhibits Farey tree structure in most region of D.When D > c,the phase diagram keeps in the same shape and do not satisfy the Farey tree structure.The procedure of phase transition is studied through the effective potential F(u).

Key words: CI transition, Farey tree, effective potential

中图分类号:

O414.22

许爱国, 王光瑞, 陈式刚, 张广才. 一个一维CI相变模型的进一步研究[J]. 计算物理, 1998, 15(4): 397-402.

Xu Aiguo, Wang Guangrui, Chen Shigang, Zhang Guangcai. Further Study to a One-Dimensional CI Transition Model[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 15(4): 397-402.

[1]	许海波, 王光瑞, 陈式刚. 一个FKD模型的基态与相图[J]. 计算物理, 2000, 17(S1): 27-32.
[2]	许爱国, 王光瑞, 陈式刚. 用有效势方法研究一个CI相变模型[J]. 计算物理, 1997, 14(S1): 521-523.