dorsal/arxiv
View SchemaHelical filaments with varying cross section radius
| Authors | Alexandre F. da Fonseca, C. P. Malta |
|---|---|
| Categories | |
| ArXiv ID | physics/0310102 |
| URL | https://arxiv.org/abs/physics/0310102 |
Abstract
The tridimensional configuration and the twist density of helical rods with varying cross section radius are studied within the framework of the Kirchhoff rod model. It is shown that the twist density increases when the cross section radius decreases. Some tridimensional configurations of helix-like rods are displayed showing the effects of the nonhomogeneity considered here. Since the helix-like solutions of the nonhomogeneous rods do not present constant curvature and torsion a set of differential equations for these quantities is presented. We discuss the results and possible consequences.
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"date_created": "2026-03-02T18:00:47.013000Z",
"date_modified": "2026-03-02T18:00:47.013000Z",
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"abstract": "The tridimensional configuration and the twist density of helical rods with\nvarying cross section radius are studied within the framework of the Kirchhoff\nrod model. It is shown that the twist density increases when the cross section\nradius decreases. Some tridimensional configurations of helix-like rods are\ndisplayed showing the effects of the nonhomogeneity considered here. Since the\nhelix-like solutions of the nonhomogeneous rods do not present constant\ncurvature and torsion a set of differential equations for these quantities is\npresented. We discuss the results and possible consequences.",
"arxiv_id": "physics/0310102",
"authors": [
"Alexandre F. da Fonseca",
"C. P. Malta"
],
"categories": [
"physics.bio-ph",
"physics.class-ph"
],
"title": "Helical filaments with varying cross section radius",
"url": "https://arxiv.org/abs/physics/0310102"
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