Relation between Tolman length and isothermal compressibility for simple liquids

doi:10.1088/1674-1056/22/3/036801

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 36801-036801.doi: 10.1088/1674-1056/22/3/036801

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Relation between Tolman length and isothermal compressibility for simple liquids

王小松^{a b}, 朱如曾^a

a State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
b Department of Vehicle Engineering, School of Mechanics and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, China

收稿日期:2012-07-02 修回日期:2012-08-08 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11072242) and the Knowledge Innovation Program of the Chinese Academy of Sciences.

Relation between Tolman length and isothermal compressibility for simple liquids

Wang Xiao-Song (王小松)^{a b}, Zhu Ru-Zeng (朱如曾)^a

a State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
b Department of Vehicle Engineering, School of Mechanics and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, China

Received:2012-07-02 Revised:2012-08-08 Online:2013-02-01 Published:2013-02-01
Contact: Zhu Ru-Zeng E-mail:zhurz@lnm.imech.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11072242) and the Knowledge Innovation Program of the Chinese Academy of Sciences.

摘要/Abstract

摘要： Tolman length δ₀ of the liquid with a plane surface has attracted an increasing theoretical attention in recent years, while the expression of Tolman length in terms of observable quantities is still not very clear. In 2001, Bartell gave a simple expression of Tolman length δ₀ in terms of isothermal compressibility. However, this expression predicts that Tolman length is always negative, which is contrary to the results of molecular dynamics simulations (MDS) for simple liquids. In this paper, this contradiction is analyzed and the reason for the discrepancy in the sign is found. In addition, we introduce a new expression of Tolman length in terms of isothermal compressibility for simple fluids not near the critical points under some week restrictions. The Tolman length of simple liquids calculated by using this formula is consistent with that obtained using MDS regarding the sign.

关键词: Tolman length, isothermal compressibility, surface tension, thermodynamics

Abstract: Tolman length δ₀ of the liquid with a plane surface has attracted an increasing theoretical attention in recent years, while the expression of Tolman length in terms of observable quantities is still not very clear. In 2001, Bartell gave a simple expression of Tolman length δ₀ in terms of isothermal compressibility. However, this expression predicts that Tolman length is always negative, which is contrary to the results of molecular dynamics simulations (MDS) for simple liquids. In this paper, this contradiction is analyzed and the reason for the discrepancy in the sign is found. In addition, we introduce a new expression of Tolman length in terms of isothermal compressibility for simple fluids not near the critical points under some week restrictions. The Tolman length of simple liquids calculated by using this formula is consistent with that obtained using MDS regarding the sign.

Key words: Tolman length, isothermal compressibility, surface tension, thermodynamics

中图分类号: (Surface tension and related phenomena)

68.03.Cd

68.35.Md (Surface thermodynamics, surface energies) 05.70.Np (Interface and surface thermodynamics)

王小松, 朱如曾. Relation between Tolman length and isothermal compressibility for simple liquids[J]. 中国物理B, 2013, 22(3): 36801-036801.

Wang Xiao-Song (王小松), Zhu Ru-Zeng (朱如曾). Relation between Tolman length and isothermal compressibility for simple liquids[J]. Chin. Phys. B, 2013, 22(3): 36801-036801.

参考文献 21

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Relation between Tolman length and isothermal compressibility for simple liquids

Relation between Tolman length and isothermal compressibility for simple liquids

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