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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 5: Klassische Feldtheorie und Statistische Mechanik

MP 5.2: Vortrag

Dienstag, 18. März 2014, 17:35–17:55, SPA SR125

Isospinning hopfions and baby Skyrmions — •Yakov Shnir — BLTP JINR, Dubna, Russia — Institute of Physics, Carl von Ossietzky University Oldenburg, Germany

The problem of constructing internally rotating solitons of fixed angular frequency ω in the Faddeev-Skyrme model and in the planar baby Skyrme model is reformulated as a variational problem for an energy-like functional, called pseudoenergy, which depends parametrically on ω. This problem is solved numerically using a gradient descent method, without imposing any spatial symmetries on the solitons, and the dependence of the solitons' energy on ω, and on their conserved total isospin J, studied. We investigated patterns of the critical behavior of the solitons, and two different types of the soliton instability are discussed. A simple elastic rod model of time-dependent hopfions is developed which, despite having only one free parameter, accounts well for most of the numerical results.