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Radiation Reaction in Classical Electrodynamics: the Case of Rotating Charged Sphere

Alexander A. Vlasov
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Abstract

In classical electrodynamics for rotating with variable angular velocity charged rigid sphere are found: the exact values of electromagnetic fields, the flux of radiating energy and the exact integral equation of rotation including the terms of self-rotation. The analysis of this eq. shows that on one hand, there is no "runaway" solutions, peculiar to the Lorentz-Dirac eq. of radiating point particle, on the other hand, there appear new problems, among them is the nonexistence of solution for some external moments of force.

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Alexander A. Vlasov. 1998-01-14. Radiation Reaction in Classical Electrodynamics: the Case of Rotating Charged Sphere. https://arxiv.org/abs/physics/9801017

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