1 Department of Physics and Information Engineering, Cangzhou Normal University, Cangzhou 061001, China;
2 State Key Laboratory of Nonlinear Mechanics(LNM) and Key Laboratory of Microgravity, Institute of Mechanics, Chinese Academy of Science, Beijing 100190, China;
3 Silfex, a Division of Lam Research, 950 South Franklin Street, Eaton, Ohio, 45320, USA;
4 Department of Physics, University of Science and Technology Beijing, Beijing 100083, China
In 1805, Thomas Young was the first to propose an equation (Young's equation) to predict the value of the equilibrium contact angle of a liquid on a solid. On the basis of our predecessors, we further clarify that the contact angle in Young's equation refers to the super-nano contact angle. Whether the equation is applicable to nanoscale systems remains an open question. Zhu et al.[College Phys.4 7 (1985)] obtained the most simple and convenient approximate formula, known as the Zhu-Qian approximate formula of Young's equation. Here, using molecular dynamics simulation, we test its applicability for nanodrops. Molecular dynamics simulations are performed on argon liquid cylinders placed on a solid surface under a temperature of 90 K, using Lennard-Jones potentials for the interaction between liquid molecules and between a liquid molecule and a solid molecule with the variable coefficient of strength a. Eight values of a between 0.650 and 0.825 are used. By comparison of the super-nano contact angles obtained from molecular dynamics simulation and the Zhu-Qian approximate formula of Young's equation, we find that it is qualitatively applicable for nanoscale systems.
Project supported by the National Natural Science Foundation of China (Grant No. 11072242), the Key Scientific Studies Program of Hebei Province Higher Education Institute, China (Grant No. ZD2018301), and Cangzhou National Science Foundation, China (Grant No. 177000001).
Shu-Wen Cui(崔树稳), Jiu-An Wei(魏久安), Wei-Wei Liu(刘伟伟), Ru-Zeng Zhu(朱如曾), Qian Ping(钱萍) Approximate expression of Young's equation and molecular dynamics simulation for its applicability 2019 Chin. Phys. B 28 016801
[1]
Young T 1805 Philos. Trans. R. Soc. London 95 65
[2]
Jameson G J and del Cerro M C G 1976 J. Chem. Soc. Furaduy I. 72 883
[3]
White L R 1977 J. Chem. Soc. Faraday Trans 1. 73 390
[4]
Gibbs J W 1957 The Collected Works of J Willard Gibbs (London: Yale University Press)
[5]
Johnson R E 1959 J. Phys. Chem. 63 1655
[6]
Barber A H, Cohen S R and Wagner H D 2004 Phys. Rev. Lett. 92 186103
[7]
Delmas M, Monthioux M and Ondarc T 2011 Phys. Rev. Lett. 106 136102
[8]
Roura P and Fort J 2004 J. Colloid Interface Sci. 272 420
[9]
Ingebrigtsen T and Toxvaerd S 2007 J. Phys. Chem. C 111 8518
[10]
Snoeijer J H and Andreotti B 2008 Phys. Fluids 20 057101
[11]
Sikkenk J H, Indekeu J O and Menu G 1988 J. Stat. Phys. 52 23
[12]
Nijmeijer M J P, Bruin C and Bakker A F 1990 Phys. Rev. A 42 6052
[13]
Kimura T and Maruyama S 2002 Microscale Therm. Eng. 6 3
[14]
Maruyama S, Kimura T and Lu M C 2002 Therm. Sci. & Eng. 6 23
[15]
Seveno D, Blake T D and de Coninck J 2013 Phys. Rev. Lett. 111 096101
[16]
Wang C, Lu H, Wang Z, Xiu P, Zhou B, Zuo G, Wan R, Hu J and Fang H 2009 Phys. Rev. Lett. 103 137801
[17]
Nishida S, Surblys D, Yamaguchi Y, Kuroda K, Kagawa M, Nakajima T and Fujimura H 2014 J. Chem. Phys. 140 074707
[18]
Fernandez-Toledano J C, Blake T D, Lambert P and de Coninck J 2017 Adv. Colloid Interface Sci. 245 102
[19]
Cui S W, Zhu R Z, Wei J A, Wang X S, Yang H X, Xu S H and Sun Z W 2015 Acta Phys. Sin. 64 116802 (in Chinese)
[20]
Berim G O and Ruckenstein E 2009 J. Chem. Phys. 130 044709
[21]
Maruyama S 2000 Advances in Numerical Heat Transfer (Vol. 2) (Minkowycz W J and Sparrow E M Ed.) (New York: Taylor & Francis) p.189
[22]
Sinha S 2004 Molecular dynamics simulation of interfacial tension and contact angle of Lennard-Jones fluid (Ph.D. Dissertation) (University of California, Los Angeles)
[23]
Shi B 2006 Molecular dynamics simulation of the surface tension and contact angle of argon and water (Ph.D. Dissertation) (University of California, Los Angeles)
[24]
Zhu R Z and Qian S W 1985 College Phys. 4 7 (in Chinese)
[25]
Zhu R Z 1992 Mech. Eng. 14 14 (in Chinese)
[26]
Adamson A M and Gast A P 1997 Physical Chemistry of Surfaces (New Jersey: Wiley-Interscience Press)
[27]
Allen M P and Tildesley D J 1989 Computer Simulation of Liquids (New York: Oxford University Press)
[28]
Leroy F and Müller-Plathe F 2010 J. Chem. Phys. 133 044110
[29]
Grzelak E M and Errington J R 2008 J. Chem. Phys. 128 014710
[30]
Nishida S, Surblys D, Yamaguchi Y, Kuroda K, Kagawa M, Nakajima T and Fujimura H 2014 J. Chem. Phys. 140 074707
Effect of spatial heterogeneity on level of rejuvenation in Ni80P20 metallic glass Tzu-Chia Chen, Mahyuddin KM Nasution, Abdullah Hasan Jabbar, Sarah Jawad Shoja, Waluyo Adi Siswanto, Sigiet Haryo Pranoto, Dmitry Bokov, Rustem Magizov, Yasser Fakri Mustafa, A. Surendar, Rustem Zalilov, Alexandr Sviderskiy, Alla Vorobeva, Dmitry Vorobyev, and Ahmed Alkhayyat. Chin. Phys. B, 2022, 31(9): 096401.
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
