Entropic force between biomembranes | |
Li L(李龙); Song F(宋凡); Song, F (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China.; Song, F (reprint author), Chinese Acad Sci, Inst Mech, Beijing Key Lab Engn Construct & Mechanobiol, Beijing 100190, Peoples R China.; Song, F (reprint author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China. | |
Source Publication | ACTA MECHANICA SINICA |
2016 | |
Volume | 32Issue:5Pages:970-975 |
ISSN | 0567-7718 |
Abstract | Undulation force, an entropic force, stems from thermally excited fluctuations, and plays a key role in the essential interactions between neighboring surfaces of objects. Although the characteristics of the undulation force have been widely studied theoretically and experimentally, the distance dependence of the force, which constitutes its most fundamental characteristic, remains poorly understood. In this paper, first, we obtain a novel expression for the undulation force by employing elasticity and statistical mechanics and prove it to be in good agreement with existing experimental results. Second, we clearly demonstrate that the two representative forms of the undulation force proposed by Helfrich and Freund were respectively the upper and lower bounds of the present expression when the separation between membranes is sufficiently small, which was intrinsically different from the existing results where Helfrich's and Freund's forms of the undulation force were only suitable for the intermediate and small separations. The investigations show that only in a sufficiently small separation does Helfrich's result stand for the undulation force with a large wave number and Freund's result express the force with a small wave number. Finally, a critical acting distance of the undulation force, beyond which the entropic force will rapidly decay approaching zero, is presented. |
Keyword | Undulation Force Flexible Membrane Entropic Force Confined Fluctuations |
DOI | 10.1007/s10409-016-0588-9 |
URL | 查看原文 |
Indexed By | SCI ; EI ; CSCD |
Language | 英语 |
WOS ID | WOS:000386498900017 |
WOS Keyword | Undulation force ; Flexible membrane ; Entropic force ; Confined fluctuations |
WOS Research Area | Engineering ; Mechanics |
WOS Subject | Engineering, Mechanical ; Mechanics |
Funding Organization | The project was supported by the programs in the National Natural Science Foundation of China (Grants 11232013 and 11472285). L. Li thanks L.B. Freund and R. Lipowsky for insightful discussions. F. Song is very grateful to Y.L. Bai of State Key Laboratory of Nonlinear Mechanics and F.J. Ke of Beijing University of Aeronautics and Astronautics for helpful discussions. |
Department | LNM生物材料微结构和力学性能 |
Classification | 二类 |
Ranking | True |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/59694 |
Collection | 非线性力学国家重点实验室 |
Corresponding Author | Song, F (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China.; Song, F (reprint author), Chinese Acad Sci, Inst Mech, Beijing Key Lab Engn Construct & Mechanobiol, Beijing 100190, Peoples R China.; Song, F (reprint author), Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China. |
Recommended Citation GB/T 7714 | Li L,Song F,Song, F ,et al. Entropic force between biomembranes[J]. ACTA MECHANICA SINICA,2016,32,5,:970-975. |
APA | 李龙,宋凡,Song, F ,Song, F ,&Song, F .(2016).Entropic force between biomembranes.ACTA MECHANICA SINICA,32(5),970-975. |
MLA | 李龙,et al."Entropic force between biomembranes".ACTA MECHANICA SINICA 32.5(2016):970-975. |
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