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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.22622 |
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| _version_ | 1866908799177064448 |
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| author | Solís-Cuevas, Andrés Vázquez-Montejo, Pablo |
| author_facet | Solís-Cuevas, Andrés Vázquez-Montejo, Pablo |
| contents | We examine the reaction of a homogeneous spherical fluid vesicle to the force exerted by a rigid circular ring located at its equator in the linear regime. We solve analytically the linearized first integral of the Euler-Lagrange equation subject to the global constraints of fixed area and volume, as well as to the local constraint imposed by the ring. We determine the first-order perturbations to the generating curve of the spherical membrane, which are characterized by the difference of the radii of the membrane and the ring, and by a parameter depending on the physical quantities of the membrane. We determine the total force that is required to begin the deformation of the membrane, which gives rise to a discontinuity in the curvature of the membrane across the ring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22622 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Small equatorial deformation of homogeneous spherical fluid vesicles Solís-Cuevas, Andrés Vázquez-Montejo, Pablo Soft Condensed Matter We examine the reaction of a homogeneous spherical fluid vesicle to the force exerted by a rigid circular ring located at its equator in the linear regime. We solve analytically the linearized first integral of the Euler-Lagrange equation subject to the global constraints of fixed area and volume, as well as to the local constraint imposed by the ring. We determine the first-order perturbations to the generating curve of the spherical membrane, which are characterized by the difference of the radii of the membrane and the ring, and by a parameter depending on the physical quantities of the membrane. We determine the total force that is required to begin the deformation of the membrane, which gives rise to a discontinuity in the curvature of the membrane across the ring. |
| title | Small equatorial deformation of homogeneous spherical fluid vesicles |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2601.22622 |