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 - <p style="text-align: justify;">We have extended the Helfrich&#39;s spontaneous curvature model [M.
Iwamoto and Z. C. Ou-Yang. Chem. Phys. Lett. <strong>590</strong>(2013)183; Y. X. Deng, et al.,
EPL. <strong>123</strong>(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.&nbsp;<strong>Sep 24;5:5010</strong>(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. <strong>98</strong>(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.</p>