Free rotation of conducting and dielectric spheres in a uniform electrostatic field

Fuente: arXiv
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Autor principal: Duviryak, A.
Formato: Preprint
Publicado: 2026
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author Duviryak, A.
author_facet Duviryak, A.
contents Rotation of conducting and dielectric spherical particles levitating in the uniform electrostatic field is considered. A dipole moment of the spherical particle induced by the external uniform electrostatic field is inclined to the field if the particle rotates. This causes the torque braking the rotation. Vectors of dipole moment and torque depend both on an angular velocity of the particle and its electric properties. Equations of rotary motion of the particle levitating in the external field are integrable in quadratures. Few examples of the conducting and dielectric particles are solved explicitly.
format Preprint
id arxiv_https___arxiv_org_abs_2605_08166
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Free rotation of conducting and dielectric spheres in a uniform electrostatic field
Duviryak, A.
Classical Physics
70E40, 78A30, 78A99
Rotation of conducting and dielectric spherical particles levitating in the uniform electrostatic field is considered. A dipole moment of the spherical particle induced by the external uniform electrostatic field is inclined to the field if the particle rotates. This causes the torque braking the rotation. Vectors of dipole moment and torque depend both on an angular velocity of the particle and its electric properties. Equations of rotary motion of the particle levitating in the external field are integrable in quadratures. Few examples of the conducting and dielectric particles are solved explicitly.
title Free rotation of conducting and dielectric spheres in a uniform electrostatic field
topic Classical Physics
70E40, 78A30, 78A99
url https://arxiv.org/abs/2605.08166