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Volume 28, Issue 4
Magnetic Deformation Theory of a Vesicle

Yao-Gen Shu & Zhong-Can Ou-Yang

DOI: 10.4208/cicp.OA-2019-0179

Commun. Comput. Phys., 28 (2020), pp. 1352-1365.

Published online: 2020-08

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  • Abstract

We have extended the Helfrich's spontaneous curvature model [M. Iwamoto and Z. C. Ou-Yang. Chem. Phys. Lett. 590(2013)183; Y. X. Deng, et al., EPL. 123(2018)68002] of the equilibrium vesicle shapes by adding the interaction between magnetic field and the constituent molecules to explain the phenomena of the reversibly deformation of artificial stomatocyte [P. G. van Rhee, et al., Nat. Commun. Sep 24;5:5010(2014), doi: 10.1038/ncomms6010] and the anharmonic deformation of a self-assembled nanocapsules of bola-amphiphilic molecules and the linear birefringence [O.V. Manyuhina, et al., Phys. Rev. Lett. 98(2007)146101]. However, the sophisticated mathematics in differential geometry is still covered. Here, we present the derivations of formulas in detail to reveal the perturbation of deformation $ψ$ under two cases. New features such as the influence of temperature on the bend modulus of vesicle membrane have been revealed.

  • Keywords

Spontaneous curvature model, deformation of vesicle, magnetic interaction, variation.

  • AMS Subject Headings

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COPYRIGHT: © Global Science Press

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@Article{CiCP-28-1352, author = {Shu , Yao-Gen and Ou-Yang , Zhong-Can}, title = {Magnetic Deformation Theory of a Vesicle}, journal = {Communications in Computational Physics}, year = {2020}, volume = {28}, number = {4}, pages = {1352--1365}, abstract = {

We have extended the Helfrich's spontaneous curvature model [M. Iwamoto and Z. C. Ou-Yang. Chem. Phys. Lett. 590(2013)183; Y. X. Deng, et al., EPL. 123(2018)68002] of the equilibrium vesicle shapes by adding the interaction between magnetic field and the constituent molecules to explain the phenomena of the reversibly deformation of artificial stomatocyte [P. G. van Rhee, et al., Nat. Commun. Sep 24;5:5010(2014), doi: 10.1038/ncomms6010] and the anharmonic deformation of a self-assembled nanocapsules of bola-amphiphilic molecules and the linear birefringence [O.V. Manyuhina, et al., Phys. Rev. Lett. 98(2007)146101]. However, the sophisticated mathematics in differential geometry is still covered. Here, we present the derivations of formulas in detail to reveal the perturbation of deformation $ψ$ under two cases. New features such as the influence of temperature on the bend modulus of vesicle membrane have been revealed.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0179}, url = {http://global-sci.org/intro/article_detail/cicp/18104.html} }
TY - JOUR T1 - Magnetic Deformation Theory of a Vesicle AU - Shu , Yao-Gen AU - Ou-Yang , Zhong-Can JO - Communications in Computational Physics VL - 4 SP - 1352 EP - 1365 PY - 2020 DA - 2020/08 SN - 28 DO - http://doi.org/10.4208/cicp.OA-2019-0179 UR - https://global-sci.org/intro/article_detail/cicp/18104.html KW - Spontaneous curvature model, deformation of vesicle, magnetic interaction, variation. AB -

We have extended the Helfrich's spontaneous curvature model [M. Iwamoto and Z. C. Ou-Yang. Chem. Phys. Lett. 590(2013)183; Y. X. Deng, et al., EPL. 123(2018)68002] of the equilibrium vesicle shapes by adding the interaction between magnetic field and the constituent molecules to explain the phenomena of the reversibly deformation of artificial stomatocyte [P. G. van Rhee, et al., Nat. Commun. Sep 24;5:5010(2014), doi: 10.1038/ncomms6010] and the anharmonic deformation of a self-assembled nanocapsules of bola-amphiphilic molecules and the linear birefringence [O.V. Manyuhina, et al., Phys. Rev. Lett. 98(2007)146101]. However, the sophisticated mathematics in differential geometry is still covered. Here, we present the derivations of formulas in detail to reveal the perturbation of deformation $ψ$ under two cases. New features such as the influence of temperature on the bend modulus of vesicle membrane have been revealed.

Shu , Yao-Gen and Ou-Yang , Zhong-Can. (2020). Magnetic Deformation Theory of a Vesicle. Communications in Computational Physics. 28 (4). 1352-1365. doi:10.4208/cicp.OA-2019-0179
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