The approach to scaling in phase-ordering kinetics

Abstract

The influence of the initial fluctuations on the onset of scaling in the quench to zero temperature of a two dimensional system with conserved order parameter, is analyzed in detail with and without topological defects. We find that the initial fluctuations greatly affect the way scaling is reached, while the number of components of the order parameter does not play a significant role. Under strong initial fluctuations the preasymptotic linear behavior is replaced by the mean field behavior of the large-N model, producing the multiscaling to standard-scaling crossover also in the physically interesting cases of systems with a small number of components.

4 pages, LaTeX, 6 postscript figures. Will appear in Phys. Rev. Lett

References in corpus (3)

• Theory of Phase Ordering Kinetics
• Early stage scaling in phase ordering kinetics
• Multiscaling to Standard Scaling Crossover in the Bray-Humayun Model for Phase Ordering Kinetics

Cited by in corpus (7)

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• Phase-Ordering Dynamics with an Order-Parameter-Dependent Mobility: The Large-n Limit
• Overall time evolution in phase-ordering kinetics
• The Effect of Shear on Phase-Ordering Dynamics with Order-Parameter-Dependent Mobility: The Large-n Limit
• Preasymptotic multiscaling in the phase-ordering dynamics of the kinetic Ising model
• Scaling in a temperature quench in systems with a Lifshitz point: Nonconserved and conserved order parameters
• Corrections to Scaling in the Phase-Ordering Dynamics of a Vector Order Parameter