Thermodynamic theory of the Tolman's length

doi:10.1088/1674-1056/19/7/076801

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 76801-076801.doi: 10.1088/1674-1056/19/7/076801

Thermodynamic theory of the Tolman's length

朱如曾, 王小松

State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the National Natural Science Foundation of China(Grant No.10772189) and the Knowledge Innovation Program of Chinese Academy of Sciences.

Thermodynamic theory of the Tolman's length

Zhu Ru-Zeng (朱如曾), Wang Xiao-Song (王小松)

State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the National Natural Science Foundation of China(Grant No.10772189) and the Knowledge Innovation Program of Chinese Academy of Sciences.

摘要/Abstract

摘要： There still exists controversy on the sign and magnitude of the Tolman's length and the Tolman's gap. Further experimental, computational and theoretical investigations on them are needed to solve this problem. In 2006, Blokhuis and Kuipers obtained a rigorous relationship between the Tolman's length and other thermodynamic quantities for the single-component liquid—vapour system. In the present paper, we derive two general relationships between the Tolman's length and other thermodynamic quantities for the single-component liquid—vapour system. The relationship derived by Blokhuis and Kuipers and an earlier result turn out to be two special cases of our results.

Abstract: There still exists controversy on the sign and magnitude of the Tolman's length and the Tolman's gap. Further experimental, computational and theoretical investigations on them are needed to solve this problem. In 2006, Blokhuis and Kuipers obtained a rigorous relationship between the Tolman's length and other thermodynamic quantities for the single-component liquid—vapour system. In the present paper, we derive two general relationships between the Tolman's length and other thermodynamic quantities for the single-component liquid—vapour system. The relationship derived by Blokhuis and Kuipers and an earlier result turn out to be two special cases of our results.

Key words: surface tension, Tolmans length, thermodynamics

中图分类号: (Thermal properties of liquids)

65.20.-w

68.03.Cd (Surface tension and related phenomena)

朱如曾, 王小松. Thermodynamic theory of the Tolman's length[J]. 中国物理B, 2010, 19(7): 76801-076801.

Zhu Ru-Zeng (朱如曾), Wang Xiao-Song (王小松). Thermodynamic theory of the Tolman's length[J]. Chin. Phys. B, 2010, 19(7): 76801-076801.

参考文献 30

[1]	Rowlinson J S and Widom B 1982 Molecular Theory of Capillary (Oxford: Clarendon Press)
[2]	de Gennes P G 1985 wxRev. Mod. Phys.57 827
[3]	Adamson A W 1990 Physical Chemistry of Surfaces (New York: John Wiley & Sons) 5th ed
[4]	de Gennes P G, Brochard Wyart F and Quere D 2004 Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls Waves (New York: Springer-Verlag)
[5]	Verdaguer A, Sacha G M, Bluhm H and Salmeron M 2006 wxChem. Rev.106 1478
[6]	Tay K A and Bresme F 2006 wxJ. Am. Chem. Soc.128 14466
[7]	Gibbs J W 1961 The Scientific Papers of J. W. Gibbs, vol. 1 (New York: Dover)
[8]	Ono S and Kondo S In Flugge (editor) 1960 Encyclopedia of Physics vol. 10 (Berlin: Springer-Verlag)
[9]	Tolman R C 1949 wxJ. Chem. Phys.17 333
[10]	Koenig F O 1950 wxJ. Chem. Phys.18 449
[11]	Bu F P 1955 wxJ. Chem. Phys.23 419
[12]	Kondo S 1956 wxJ. Chem. Phys.25 662
[13]	Fisher L R and Israelachvili J N 1981 wxJ. Colloid Interface80 528
[14]	Blokhuis E M and Kuipers J 2006 wxJ. Chem. Phys.124 074701
[15]	Hadjiagapiou I 1994 wxJ. Phys. Condens. Matter6 5303
[16]	Baidakov G and Boltachev G Sh 1999 wxPhys. Rev. E59 469
[17]	Talanquer V and Oxtoby D W 1995 wxJ. Phys. Chem.99 2865
[18]	Iwamatsu M and Horii K 1997 wxAerosol. Sci. Technol.27 563
[19]	van Giessen A E, Blokhuis E M and Bukman D J 1998 wxJ. Chem. Phys.108 1148
[20]	Barrett J 1999 wxJ. Chem. Phys.111 5938
[21]	Bykov V and Zeng X C 1999 wxJ. Chem. Phys.111 3705
[22]	Bykov V and Zeng X C 1999 wxJ. Chem. Phys.111 10602
[23]	Napari I and Laaksonen A 2001 wxJ. Chem. Phys.114 5796
[24]	Thompson S M, Gubbins K E, Walton J P R B, Chantry R A R and Rowlinson J S 1984 wxJ. Chem. Phys.81 530
[25]	Nijmeijer M J P, Bruin C, van Woerkom A B and Bakker A F 1992 wxJ. Chem. Phys.96 565
[26]	Haye M J and Bruin C 1994 wxJ. Chem. Phys.100 556
[27]	Lei Y A, Bykov T, Yooo S and Zeng X C 2005 wxJ. Am. Chem. Soc.127 15346
[28]	Fisher M P A and Wortis M 1984 wxPhys. Rev. B29 6252
[29]	Blokhuis E M and Bedeaux D 1992 wxJ. Chem. Phys.97 3576
[30]	Groenewold J and Bedeaux D 1995 wxPhysica A214 356

Thermodynamic theory of the Tolman's length

Thermodynamic theory of the Tolman's length

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 30

相关文章 10

Metrics

本文评价

推荐阅读 0

[1]	李钰琦, 陆雅翔, 陈立泉, 胡勇胜. Failure analysis with a focus on thermal aspect towards developing safer Na-ion batteries[J]. 中国物理B, 2020, 29(4): 48201-048201.
[2]	黄晓, 曹则贤, 王强. The universal characteristic water content of aqueous solutions[J]. 中国物理B, 2019, 28(6): 65101-065101.
[3]	郭伟, 赵立山, 高欣, 曹则贤, 王强. Accurate quantification of hydration number for polyethylene glycol molecules[J]. 中国物理B, 2018, 27(5): 55101-055101.
[4]	赵立山, 潘礼庆, 纪爱玲, 曹则贤, 王强. Recrystallization of freezable bound water in aqueous solutions of medium concentrations[J]. 中国物理B, 2016, 25(7): 75101-075101.
[5]	李宜德, 郝清海, 曹启龙, 刘长松. Diffusion activation energy versus the favourable energy in two-order-parameter model：A molecular dynamics study of liquid Al[J]. 中国物理B, 2010, 19(8): 86104-086104.
[6]	朱荣娇, 徐伟, 田宜灵, 郝纪双. Fusion curves and thermodynamic properties of carbon tetrachloride, chloroform, bromoform and silicon tetrachloride at pressure up to 3500Mpa[J]. 中国物理B, 2008, 17(3): 1088-1093.
[7]	付东, 廖涛. Investigation of vapour--liquid nucleation properties for spherical and chain-like fluids by density functional theory[J]. 中国物理B, 2007, 16(11): 3475-3482.
[8]	曹达鹏, 程礼盛, 汪文川. Density functional theory for molecular orientation of hard rod fluids in hard slits[J]. 中国物理B, 2007, 16(8): 2296-2303.
[9]	谢鸿全, 刘濮鲲. Analysis of the axial electric field in a plasma-loaded-helix travelling wave tube[J]. 中国物理B, 2006, 15(9): 2042-2045.
[10]	朱虎刚, 刘志华, 田宜灵, 薛源, 阴亮. Molar volume, thermal expansivity and isothermal compressibility of trans-decahydronaphthalene up to 200MPa and 446K[J]. 中国物理B, 2005, 14(12): 2433-2439.