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Tolman length of simple droplet: Theoretical study and molecular dynamics simulation*
Cui SW(崔树稳)1,2,3; Wei, Jiu-An4; Li, Qiang1; Liu, Wei-Wei1; Qian, Ping5; Wang, Xiao Song6
Source PublicationCHINESE PHYSICS B
2021
Volume30Issue:1Pages:6
ISSN1674-1056
Abstract

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 (R-s) and found that they increase with the R-s 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.

KeywordTolman length surface tension radius of surface of tension radius of equimolecular surface molecular dynamics simulation
DOI10.1088/1674-1056/abb65a
Indexed BySCI ; EI ; CSCD
Language英语
WOS IDWOS:000607776600001
WOS KeywordSURFACE-TENSION ; FREE-ENERGY ; LIQUID ; NUCLEATION
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
Funding ProjectNational Key Research and Development Program of China[2016YFB0700500] ; Scientific Research and Innovation Team of Cangzhou Normal University, China[cxtdl1907] ; Key Scientific Study Program of Hebei Provincial Higher Education Institution, China[ZD2020410] ; Cangzhou Natural Science Foundation, China[197000001] ; General Scientific Research Fund Project of Cangzhou Normal University, China[xnjjl1906]
Funding OrganizationNational Key Research and Development Program of China ; Scientific Research and Innovation Team of Cangzhou Normal University, China ; Key Scientific Study Program of Hebei Provincial Higher Education Institution, China ; Cangzhou Natural Science Foundation, China ; General Scientific Research Fund Project of Cangzhou Normal University, China
ClassificationQ3
ContributorQian, Ping
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/85943
Collection非线性力学国家重点实验室
微重力重点实验室
Affiliation1.Cangzhou Normal Univ, Dept Phys & Informat Engn, Cangzhou 061001, Peoples R China;
2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China;
3.Chinese Acad Sci, Inst Mech, Key Lab Micrograv, Beijing 100190, Peoples R China;
4.Silfex, 950 South Franklin St, Eaton, OH 45320 USA;
5.Univ Sci & Technol Beijing, Dept Phys, Beijing 100083, Peoples R China;
6.Henan Polytech Univ, Inst Mech & Power Engn, Jiaozuo 454003, Henan, Peoples R China
Recommended Citation
GB/T 7714
Cui SW,Wei, Jiu-An,Li, Qiang,et al. Tolman length of simple droplet: Theoretical study and molecular dynamics simulation*[J]. CHINESE PHYSICS B,2021,30,1,:6.Rp_Au:Qian, Ping
APA Cui SW,Wei, Jiu-An,Li, Qiang,Liu, Wei-Wei,Qian, Ping,&Wang, Xiao Song.(2021).Tolman length of simple droplet: Theoretical study and molecular dynamics simulation*.CHINESE PHYSICS B,30(1),6.
MLA Cui SW,et al."Tolman length of simple droplet: Theoretical study and molecular dynamics simulation*".CHINESE PHYSICS B 30.1(2021):6.
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