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  • Title: Constructing a class of topological solitons in magnetohydrodynamics.
    Author: Thompson A, Swearngin J, Wickes A, Bouwmeester D.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2014 Apr; 89(4):043104. PubMed ID: 24827352.
    Abstract:
    We present a class of topological plasma configurations characterized by their toroidal and poloidal winding numbers, nt and np, respectively. The special case of nt=1 and np=1 corresponds to the Kamchatnov-Hopf soliton, a magnetic field configuration everywhere tangent to the fibers of a Hopf fibration so that the field lines are circular, linked exactly once, and form the surfaces of nested tori. We show that for nt∈Z+ and np=1, these configurations represent stable, localized solutions to the magnetohydrodynamic equations for an ideal incompressible fluid with infinite conductivity. Furthermore, we extend our stability analysis by considering a plasma with finite conductivity, and we estimate the soliton lifetime in such a medium as a function of the toroidal winding number.
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