| Tolman length of simple droplet: Theoretical study and molecular dynamics simulation |
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| 作者姓名： | 崔树稳 魏久安 李强 刘伟伟 钱萍 王小松 |
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| 作者单位： | Department of Physics and Information Engineering;State Key Laboratory of Nonlinear Mechanics（LNM）and Key Laboratory of Microgravity;Silfex;Department of Physics;Institute of Mechanics and Power Engineering |
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| 基金项目： | Project supported by the National Key Research and Development Program of China(Grant No.2016YFB0700500);the Scientific Research and Innovation Team of Cangzhou Normal University,China(Grant No.cxtdl1907);the Key Scientific Study Program of Hebei Provincial Higher Education Institution,China(Grant No.ZD2020410);the Cangzhou Natural Science Foundation,China(Grant No.197000001);the General Scientific Research Fund Project of Cangzhou Normal University,China(Grant No.xnjjl1906)。 |
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| 摘 要： | In 1949, Tolman found the relation between the surface tension and Tolman length, which determines the dimensional effect of the surface tension. Tolman length is the difference between the equimolar surface and the surface of tension. In recent years, the magnitude, expression, and sign of the Tolman length remain an open question. An incompressible and homogeneous liquid droplet model is proposed and the approximate expression and sign for Tolman length are derived in this paper. We obtain the relation between Tolman length and the radius of the surface of tension(Rs) and found that they increase with the Rs decreasing. The Tolman length of plane surface tends to zero. Taking argon for example, molecular dynamics simulation is carried out by using the Lennard–Jones(LJ) potential between atoms at a temperature of 90 K. Five simulated systems are used, with numbers of argon atoms being 10140, 10935, 11760, 13500, and 15360, respectively. By methods of theoretical study and molecular dynamics simulation, we find that the calculated value of Tolman length is more than zero, and it decreases as the size is increased among the whole size range. The value of surface tension increases with the radius of the surface of tension increasing, which is consistent with Tolman’s theory. These conclusions are significant for studying the size dependence of the surface tension.
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| 关 键 词： | Tolman length surface tension radius of surface of tension radius of equimolecular surface molecular dynamics simulation |
Tolman length of simple droplet: Theoretical study and molecular dynamics simulation |
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| Shu-Wen Cui,Jiu-An Wei,Qiang Li,Wei-Wei Liu,Ping Qian,Xiao Song Wang.Tolman length of simple droplet: Theoretical study and molecular dynamics simulation[J].Chinese Physics B,2021(1). |
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| Authors: | Shu-Wen Cui Jiu-An Wei Qiang Li Wei-Wei Liu Ping Qian Xiao Song Wang |
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| Affiliation: | (Department of Physics and Information Engineering,Cangzhou Normal University,Cangzhou 061001,China;State Key Laboratory of Nonlinear Mechanics(LNM)and Key Laboratory of Microgravity,Institute of Mechanics,Chinese Academy of Sciences,Beijing 100190,China;Silfex,a Division of Lam Research,950 South Franklin Street,Eaton,Ohio 45320,USA;Department of Physics,University of Science and Technology Beijing,Beijing 100083,China;Institute of Mechanics and Power Engineering,Henan Polytechnic University,Jiaozuo 454003,China) |
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