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

Pramana

M Fabiane2¹  N P Rapapa1² 

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

关键词: Morphological instability;    phase changes;    nonequilibrium and irreversible thermodynamics.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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: $C(r, t) = f_{0} (r/L) + L^{−𝜔} f_{1} (r/L) + cdots$, where 𝐿 is a characteristic length scale (i.e. domain size). The correction-to-scaling exponent ω and the correction-to-scaling functions 𝑓1(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).

【 授权许可】

Unknown