Dynamical multiscaling in quenched Skyrme systems

¹ Theoretical Physics, University of Oxford - Oxford OX1 3NP, UK
² Department of Mathematical Sciences, University of Durham Durham DH1 3LE, UK
³ Department of Physics and Astronomy, University of Pennsylvania Philadelphia, PA 19104, USA

Received: 25 April 1997
Accepted: 30 May 1997

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 of the topological charge density distribution and in particular in the decay of the energy density . 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.