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Tu, ZC; Ge, LQ; Li, JB; Ou-Yang, ZC; Tu, ZC , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Elasticity of polymer vesicles by osmotic pressure: An intermediate theory between fluid membranes and solid shells
Source PublicationPHYSICAL REVIEW E
KeywordQuantum-mechanics Spheres
AbstractThe 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.
2005
ISSN1539-3755
Volume72Issue:2Pages:-
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/13777
Collection理论物理所科研产出_SCI论文
Corresponding AuthorTu, ZC , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
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):-.
APA Tu, ZC,Ge, LQ,Li, JB,Ou-Yang, ZC,&Tu, ZC , Acad Sinica, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2005).Elasticity of polymer vesicles by osmotic pressure: An intermediate theory between fluid membranes and solid shells.PHYSICAL REVIEW E,72(2),-.
MLA Tu, ZC,et al."Elasticity of polymer vesicles by osmotic pressure: An intermediate theory between fluid membranes and solid shells".PHYSICAL REVIEW E 72.2(2005):-.
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