Ordering kinetics of defect structures

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Nonequilibrium And Irreversible Thermodynamics, Order-Disorder Transformations, Statistical Mechanics Of Model Systems, Solubility, Segregation, And Mixing, Phase Separation, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We show how the continuity equations expressing conservation of topological point or string defect charge can be used to determine the order-parameter correlation function for the phase-ordering kinetics of the O(n) model in the special case where the order parameter is constrained to be near a defect core. In this regime we find a self-consistent solution by assuming the order parameter is Gaussian. The resulting linear equation for the order-parameter correlation function has as its solution the Ohta-Jasnow-Kawasaki form.

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