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Dynamical Multiscaling in Quenched Skyrme Systems

Andrew D. Rutenberg·Wojtek J. Zakrzewski·Martin Zapotocky
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Abstract

Strong dynamical scaling violations exist in quenched two-dimensional systems with vector O(3) order parameters. These systems support non-singular topologically stable configurations (skyrmions). By tuning the stability of isolated skyrmions to expand or shrink, we find dramatic differences in the dynamical multiscaling spectrum of decaying moments $< |ρ|^n >$ of the topological charge density distribution and in particular in the decay of the energy-density $ε\sim < |ρ| >$. We present a simple two-length-scale model for the observed exponents in the case when isolated skyrmions expand. No such simple model is found when isolated skyrmions shrink.

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Andrew D. Rutenberg, Wojtek J. Zakrzewski, Martin Zapotocky. 1997-04-25. Dynamical Multiscaling in Quenched Skyrme Systems. https://doi.org/10.1209/epl%2Fi1997-00312-y

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