EPL

Issue		Europhys. Lett. Volume 39, Number 1, July 1997
Page(s)		49 - 54
Section		Condensed matter: structure, thermal and mechanical properties
DOI		10.1209/epl/i1997-00312-y

Dynamical multiscaling in quenched Skyrme systems DOI: 10.1209/epl/i1997-00312-y

Europhys. Lett, 39 (1), pp. 49-54 (1997)

Dynamical multiscaling in quenched Skyrme systems

A. D. Rutenberg , W. J. Zakrzewski and M. Zapotocky

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

(received 25 April 1997; accepted 30 May 1997)

PACS. 64.60Cn - Order-disorder transformations; statistical mechanics of model systems.
PACS. 11.27 - Extended classical solutions; cosmic strings, domain walls, texture.
PACS. 12.39Dc - Skyrmions.

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.

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