液相及固/液混合相区金属物态方程Grover模型存在的问题及修正

彭小娟; 刘福生

doi:10.7498/aps.61.186201

摘要

借助无序熵的概念, 直接推导出了液相金属的物态方程. 再利用固/液混合相区的熔化分数与其中固相、液相比体积之间的一般性关系, 替代了传统Grover模型中采用的熔化分数与温度成正比的近似条件, 得出更准确的固/液混合相区状态方程的表述形式. 修正后的物态方程解决了传统Grover模型中的固线、液线以及熔化线在P-T图上不一致的问题, 得到了更为符合物理事实的结果.

关键词:

物态方程 /
Grover模型

According to the definition of disordered entropy, we obtain the equation of state (EOS) of liquid metals. Then due to the fact that the fraction of liquid present in the mixed phase region is assumed to be not linear with temperature but linear with volume, the incorrect hypothesis of the fraction of liquid present in Grover model is clarified. The more accurate formula to express the EOS of solid-liquid mixed phase is obtained. The calculations from Grover model show that the solidus, liquidus and melting line do not coincide in the P-T graph as they should be. The modified results are shown to be in good coincidence with the three lines in the P-T graph.

Keywords:

equation of state /
Grover model

作者及机构信息

1.
西南交通大学高压科学与技术实验室, 成都 610031

基金项目: 国家自然科学基金(批准号: 10874141)资助的课题.

Authors and contacts

1.
Laboratory of High Pressure Physics, Southwest Jiaotong University, Chengdu 610031, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 10874141).

参考文献

[1]	Xu X S, Zhang W X 1986 Introduction to Practical Equation of State Theory (Beijing: Science ress) p4 (in Chinese) [徐锡申, 张万箱 1986 实用物态方程理论引导 (北京: 科学出版社) 第4页]
[2]	Grover R 1971 J. Chem. Phys. 55 3435
[3]	Song P, Cai L C 2010 Phys. B: Condensed Matter 405 1509
[4]	Zhang X, Liu Z, Gu Y, Cai L C, Jing F Q 2008 Phys. B: Condensed Matter 403 3261
[5]	Song P, Cai L C 2009 Acta Phys. Sin. 58 1879 (in Chinese) [宋萍, 蔡灵仓 2009 58 1879]
[6]	Huang H J, Cai L C, Tian X 2007 Chin. J. High Pres. Phys. 21 205 (in Chinese) [黄海军, 蔡灵仓, 田旭 2007 高压 21 205]
[7]	Sun Y H 2009 Ph. D. Dissertation (Chengdu: Southwest Jiaotong University) p55 (in Chinese) [孙峪怀 2009 博士学位论文 (成都: 西南交通大学) 第55页]
[8]	Neal T 1976 Phys. Rev. B 14 5172
[9]	van Thiel M, Ross M, Hord B L, Mitchell A C, Gust W H, D'Addario M J, Keeler R N, Boutwell K 1973 Phys. Rev. Lett. 31 979
[10]	Oriani R 1951 J. Chem. Phys. 19 93
[11]	Luo S N, Ahrens T J 2004 Phys. Earth Planet. Int. 143 369
[12]	Jing F Q 1999 Introduction to Experimental Equation of State (Beijing: Science Press) p28 (in Chinese) [经福谦 1999 实验物态方程导引 (北京: 科学出版社) 第28页]
[13]	Brown J M, McQueen R G 1986 J. Geophys. Res. 91 7485
[14]	Xu X S, Zhang W X 1986 Introduction to Practical Equation of State Theory ( Beijing: Science Press) p333 (in Chinese) [徐锡申, 张万箱 1986 实用物态方程理论引导 (北京: 科学出版社)第333页]
[15]	Dai C D, Tan H, Gen H Y 2002 J. Appl. Phys. 92 5019

施引文献

[1]	Xu X S, Zhang W X 1986 Introduction to Practical Equation of State Theory (Beijing: Science ress) p4 (in Chinese) [徐锡申, 张万箱 1986 实用物态方程理论引导 (北京: 科学出版社) 第4页]
[2]	Grover R 1971 J. Chem. Phys. 55 3435
[3]	Song P, Cai L C 2010 Phys. B: Condensed Matter 405 1509
[4]	Zhang X, Liu Z, Gu Y, Cai L C, Jing F Q 2008 Phys. B: Condensed Matter 403 3261
[5]	Song P, Cai L C 2009 Acta Phys. Sin. 58 1879 (in Chinese) [宋萍, 蔡灵仓 2009 58 1879]
[6]	Huang H J, Cai L C, Tian X 2007 Chin. J. High Pres. Phys. 21 205 (in Chinese) [黄海军, 蔡灵仓, 田旭 2007 高压 21 205]
[7]	Sun Y H 2009 Ph. D. Dissertation (Chengdu: Southwest Jiaotong University) p55 (in Chinese) [孙峪怀 2009 博士学位论文 (成都: 西南交通大学) 第55页]
[8]	Neal T 1976 Phys. Rev. B 14 5172
[9]	van Thiel M, Ross M, Hord B L, Mitchell A C, Gust W H, D'Addario M J, Keeler R N, Boutwell K 1973 Phys. Rev. Lett. 31 979
[10]	Oriani R 1951 J. Chem. Phys. 19 93
[11]	Luo S N, Ahrens T J 2004 Phys. Earth Planet. Int. 143 369
[12]	Jing F Q 1999 Introduction to Experimental Equation of State (Beijing: Science Press) p28 (in Chinese) [经福谦 1999 实验物态方程导引 (北京: 科学出版社) 第28页]
[13]	Brown J M, McQueen R G 1986 J. Geophys. Res. 91 7485
[14]	Xu X S, Zhang W X 1986 Introduction to Practical Equation of State Theory ( Beijing: Science Press) p333 (in Chinese) [徐锡申, 张万箱 1986 实用物态方程理论引导 (北京: 科学出版社)第333页]
[15]	Dai C D, Tan H, Gen H Y 2002 J. Appl. Phys. 92 5019

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