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题名: Elasticity of polymer vesicles by osmotic pressure: An intermediate theory between fluid membranes and solid shells
作者: Tu, ZC ;  Ge, LQ ;  Li, JB ;  Ou-Yang, ZC
刊名: PHYSICAL REVIEW E
出版日期: 2005
卷号: 72, 期号:2, 页码:-
关键词: QUANTUM-MECHANICS ;  SPHERES
学科分类: Physics
通讯作者: Tu, ZC , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
部门归属: Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China; Southeast Univ, State Key Lab Bioelect, Nanjing 210096, Peoples R China; Acad Sinica, Int Joint Lab, Key Lab Colloid & Interface Sci, Ctr Mol Sci,Inst Chem, Beijing 100080, Peoples R China; Tsing Hua Univ, Ctr Adv Study, Beijing 100084, Peoples R China
英文摘要: The entropy of a polymer confined in a curved surface and the elastic free energy of a membrane consisting of polymers are obtained by scaling analysis. It is found that the elastic free energy of the membrane has the form of the in-plane strain energy plus Helfrich's curvature energy [Z. Naturforsch. C 28, 693 (1973)]. The elastic constants in the free energy are obtained by discussing two simplified models: one is the polymer membrane without in-plane strains and asymmetry between its two sides, which is the counterpart of quantum mechanics in a curved surface [H. Jensen and H. Koppe, Ann. Phys. (N.Y) 63, 586 (1971)]; the other is the planar rubber membrane with homogeneous in-plane strains. The equations to describe equilibrium shape and in-plane strains of the polymer vesicles by osmotic pressure are derived by taking the first-order variation of the total free energy containing the elastic free energy, the surface tension energy, and the term induced by osmotic pressure. The critical pressure above which a spherical polymer vesicle will lose its stability is obtained by taking the second-order variation of the total free energy. It is found that the in-plane mode also plays an important role in the critical pressure because it couples with the out-of-plane mode. Theoretical results reveal that polymer vesicles possess mechanical properties intermediate between those of fluid membranes and solid shells.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000231564000063
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内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/13777
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Tu, ZC,Ge, LQ,Li, JB,et al. Elasticity of polymer vesicles by osmotic pressure: An intermediate theory between fluid membranes and solid shells[J]. PHYSICAL REVIEW E,2005,72(2):-.
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