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Nematic order on a deformable vesicle with anchoring effects

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Description

This article proposes a new model to represent a vesicle membrane with internal nematic order whose equilibrium states depend on the competition between the bending, elastic and anchoring energies.

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17 p.

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Tierra Chica, Giordano; Guillén-González, Francisco & Rodríguez-Bellido, María Ángeles July 7, 2020.

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This article proposes a new model to represent a vesicle membrane with internal nematic order whose equilibrium states depend on the competition between the bending, elastic and anchoring energies.

Physical Description

17 p.

Notes

Abstract: Models to represent the interactions of liquid crystalline phases with vesicles membranes have been widely studied in recent times due to its connection with biological materials. In this work we propose a new model to represent a vesicle membrane with internal nematic order whose equilibrium states depend on the competition between the bending, elastic and anchoring energies. Moreover we present a new unconditionally energy stable numerical scheme to approximate the model. Additionally, we present several numerical simulations in order to illustrate the good performance of the proposed scheme and the influence of the nematic order in the dynamics of the system.

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  • Results in Applied Mathematics, 8, Elsevier Science Ltd., November 2020

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  • Publication Title: Results in Applied Mathematics
  • Volume: 8
  • Article Identifier: 100102
  • Pages: 17
  • Peer Reviewed: Yes

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  • July 7, 2020

Added to The UNT Digital Library

  • May 27, 2022, 5:46 a.m.

Description Last Updated

  • July 28, 2022, 10:02 a.m.

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Tierra Chica, Giordano; Guillén-González, Francisco & Rodríguez-Bellido, María Ángeles. Nematic order on a deformable vesicle with anchoring effects, article, July 7, 2020; (https://digital.library.unt.edu/ark:/67531/metadc1934013/: accessed April 17, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT College of Science.

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