• The corrections to scaling within Mazenko's theory in the limit of low and high dimensions

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    • Keywords

       

      Morphological instability; phase changes; nonequilibrium and irreversible thermodynamics.

    • Abstract

       

      We consider corrections to scaling within an approximate theory developed by Mazenko for nonconserved order parameter in the limit of low $(d \rightarrow 1)$ and high $(d \rightarrow \infty)$ 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: $C(r, t) = f_{0} (r/L) + L^{−\omega} f_{1} (r/L) + \cdots$, 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).

    • Author Affiliations

       

      N P Rapapa1 2 M Fabiane2

      1. The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, Strada Costiera 11, Trieste, Italy
      2. National University of Lesotho, Faculty of Science and Technology, Department of Physics and Electronics, P.O. Roma, Lesotho, Southern Africa
    • Dates

       
  • Pramana – Journal of Physics | News

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