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arxiv: cond-mat/9711029 · v1 · submitted 1997-11-04 · ❄️ cond-mat.stat-mech

Perturbation Expansion in Phase Ordering Kinetics

classification ❄️ cond-mat.stat-mech
keywords orderexpansionexponentkineticsorderingparameterperturbationphase
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A consistent perturbation theory expansion is presented for phase ordering kinetics in the case of a nonconserved scalar order parameter. At lowest order in this formal expansion one obtains the theory due to Ohta, Jasnow and Kawasaki (OJK). At next order, worked out explicitly in d dimensions, one has small corrections to the OJK result for the nonequilibrium exponent $\lambda$ and the introduction of a new exponent $\nu$ governing the algebraic component of the decay of the order parameter scaling function at large scaled distances.

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