Curvature-based interaction potential between a micro/nano curved surface body and a particle on the surface of the body

详细信息    查看全文

• 作者：Dan Wang ; Yajun Yin ; Jiye Wu ; Xugui Wang ; Zheng Zhong
• 关键词：Micro/nano curved surface body ; Particle on the surface ; Pair ; potential ; Curvature ; based potential ; Driving force of curvatures and the gradients of curvatures
• 刊名：Journal of Biological Physics
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：42
• 期：1
• 页码：33-51
• 全文大小：1,219 KB
• 参考文献：1.Marcello, C. Jr., Lorenzo, B., Eric, P.L., Lewandowskia, Marisa, W., Kathleen, J.S..: Curvature-driven capillary migration and assembly of rod-like particles. Proc. Natl. Acad. Sci. U. S. A.. 108(52): p.20923-20928 2011
  2.Wan, T.H., Chih, J.H., Benjamin, R.C., Tingting, W., Chi, M.C., Shu, Y. Tobias, B.: Curvature sorting of peripheral proteins on solid-supported wavy membranes. Langmuir 28, 12838–12843 (2012)
  3.Liang, Q., Ma, Y.Q.: Curvature-induced lateral organization in mixed lipid bilayers supported on a corrugated substrate. J. Phys. Chem. B 113, 8049–8055 (2009)CrossRef
  4.Raghuveer, P., Cheng, H.Y., Jay, T. G.,: Curvature-modulated phase separation in lipid bilayer membranes. Langmuir 22, 5095–5099 (2006)
  5.Raghuveer, P., Groves, J.T.: Curvature and spatial organization in biological membranes. Soft Matter 3, 24–33 (2007)CrossRef ADS
  6.Moritz, M., Thomas, R., Dirk, H.: Sorting mechanisms and communication in phase-separating coupled monolayers. J. Phys. Chem. B 115, 11739–11745 (2011)
  7.Zhao, Y.P.: Physical Mechanics of Surfaces and Interfaces. Science Press, Beijing (2012)
  8.Yin, Y.J., Chen, C., Lü, C.J, Zheng, Q.S.: Shape gradient and classical gradient of curvatures: driving forces on micro/nano curved surfaces. Appl. Math. Mech. Engl. Ed. 32(5), 533–550 (2011)
  9.Wu, J.Y., Yin, Y.J., Wang, X.G., Huang, K., Fan, Q.S.: Interaction potential between micro/nano curved surface and a particle located inside the surface (I): Driving forces induced by curvatures. Sci. China Phy. Mech. Astron. 55(6), 1066–1076 (2012)
  10.Wu, J.Y., Yin, Y.J., Wang, X.G., Huang, K., Fan, Q.S.: Interaction potential between micro/nano curved surface and a particle located inside the surface (II): Numerical experiment and equipotential surfaces. Sci. China Phys. Mech. Astron. 55(6), 1077–1082 (2012)
  11.Wang, X.G. Wu, J.Y., Huang, K., Wang, D., Yin, Y.J.: Interaction potential between planar curve and isolated particle outside the curve (1). Phys. E. 10(34), 178–191 (2014)
  12.Wang, D. Yin, Y.J., Wu, J.Y., Wang, X.G., Zhong, Z.: Interaction potential between parabolic rotator and an outside particle. J. Nanomater. 2014, 1–8 (2014)
  13.Wang, D. Yin, Y.J., Wu, J.Y., Wang, X.G., Zhong, Z.: Curvature-based interaction potential between micro/nano curved surface body and an outside particle. J. Comput. Theor. Nanosci. (2015) (in press)
  14.Israelachvili, J.: Intermolecular and Surface Forces, 2nd edn. Academic Press, London (1991)
  15.Su, B.Q., Hu, H.S., Shen, C.L., Pan, Y.L., Zhang, G.L.: Differential Geometry, pp. 16–18. People’s Education Press (1979)
  16.Wu, J.Y.: Biomembrane Free Energy and the Driving Forces Induced by Curvature Gradients [Doctoral Dissertation]. School of Aerospace, Tsinghua University, Beijing (2012)
  17.Wang, Y., Zhao, Y.P.: Electrowetting on curved surfaces. Soft. Matter 8, 2599–2606 (2012)CrossRef ADS
  
• 作者单位：Dan Wang (1)
  Yajun Yin (1)
  Jiye Wu (2)
  Xugui Wang (1)
  Zheng Zhong (3)
  
  1. Department of Engineering Mechanics, School of Aerospace, Tsinghua University, 100084, Beijing, China
  2. Division of Mechanics, Nanjing Tech University, 211816, Nanjing, China
  3. School of Aerospace and Applied Mechanics, Tongji University, 200092, Shanghai, USA
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Biophysics and Biomedical Physics
  Condensed Matter
  Statistical Physics
  Polymer Sciences
  Bioinformatics
  Neurosciences
  
• 出版者：Springer Netherlands
• ISSN：1573-0689

文摘

The interaction potential between a curved surface body and a particle located on the surface of the body is studied in this paper. Based on the negative exponential pair potential (1/R n ) between particles, the interaction potential is proved to be of the curvature-based form, i.e., it can be written as a function of curvatures of the surface. Idealized numerical experiments are designed to test the accuracy of curvature-based potential. Based on the curvature-based potential, propositions below are confirmed: a highly curved surface body will induce driving forces on the particle located on the surface, and curvatures and the gradients of curvatures are essential factors forming the driving forces. In addition, the tangent driving force acting on the particle from the curved surface body is studied. Based on duality, the following rule is proved: for a convex or concave curved body sharing the same curved surface, the curvature-based interaction potential between them and a particle on the surface can make up the potential of a particle in the whole space. Keywords Micro/nano curved surface body Particle on the surface Pair-potential Curvature-based potential Driving force of curvatures and the gradients of curvatures