Abstract
We consider corrections to scaling within an approximate theory developed by Mazenko for nonconserved order parameter in the limit of low (d → 1) and high (d → ∞) dimensions. The corrections to scaling considered here follows from the departures of the initial condition from the scaling morphology. Including corrections to scaling, the equal time correlation function has the form: C(r, t) = f 0(r/L)+L −ω f 1(r/L)+…, where L is a characteristic length scale (i.e. domain size). The correction-to-scaling exponent ω and the correction-to-scaling functions f 1(x) are calculated for both low and high dimensions. In both dimensions the value of ω is found to be ω = 4 similar to 1D Glauber model and OJK theory (the theory developed by Ohta, Jasnow and Kawasaki).
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Rapapa, N.P., Fabiane, M. The corrections to scaling within Mazenko’s theory in the limit of low and high dimensions. Pramana - J Phys 72, 979–988 (2009). https://doi.org/10.1007/s12043-009-0090-z
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DOI: https://doi.org/10.1007/s12043-009-0090-z