Scaling and vortex-string dynamics in a three-dimensional system with a continuous symmetry

Mathematics – Logic

Scientific paper

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Phase Transformations, Scaling Laws, Thermodynamic Equilibrium, Three Dimensional Models, Transition Temperature, Computerized Simulation, Crystal Lattices, Scattering Functions, Dynamic Critical Phenomena, Vortices And Turbulence, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

Results are presented from a numerical study of the coarsening dynamics of a 3D system with a nonconserved complex order parameter Phi(r,t), following a quench below the ordering transition temperature. For a critical quench, dynamical scaling is observed and an effective value of the dynamical exponent is obtained. For an off-critical quench, there is a breakdown of dynamical scaling and the vortex-string length is found to vary with time in agreement with the theoretical results of Toyoki and Honda (1987). Attention is given to the possible relevance of these results to liquid-crystal systems and cosmological pattern formation.

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