Phys. Rev. E 64, 056609 (2001) [5 pages]Electromagnetic properties of the linear oscillating currents flowing through toroidal knotsReceived 27 March 2001; published 22 October 2001 Magnetic and toroid formfactors as well as the radiation intensity for a linear oscillating current flowing through a (knotted) toroidal spiral with a fractional number n=q/p(p,q=integers) of turns of winding are calculated. Some topological properties of such current lines are analyzed by studying the isotopic deformations when the ratio ɛ of the torus radii varies from 0 to 1 and a critical value is found for it, ɛc=p2/(p2+q2), at which the Calugareanu invariant K (integer number) jumps by q units. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.056609
DOI:
10.1103/PhysRevE.64.056609
PACS:
03.50.De, 41.20.-q
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