Spherical Vesicles Distorted by a Grafted Latex Bead: An Exact Solution

Details Spherical Vesicles Distorted by a Grafted Latex Bead: An Exact Solution Spherical Vesicles Distorted by a Grafted Latex Bead: An Exact Solution

2004-04-10

arxiv.org/abs/cond-mat/0404250v5

Phys. Rev. E 76 (2007) 041912

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 2 figures, LaTeX2e+REVTeX+AmSLaTeX

Scientific paper

10.1103/PhysRevE.76.041912

We present an exact solution to the problem of the global shape description of a spherical vesicle distorted by a grafted latex bead. This solution is derived by treating the nonlinearity in bending elasticity through the (topological) Bogomol'nyi decomposition technique and elastic compatibility. We recover the ``hat-model'' approximation in the limit of a small latex bead and find that the region antipodal to the grafted latex bead flattens. We also derive the appropriate shape equation using the variational principle and relevant constraints.

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