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Generalized renormalization group treatment of the growth kinetics of unstable systems

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Abstract

We discuss the generalization of a renormalization group technique developed previously for the study of ordering in unstable systems in the context of the ferromagnetic Ising model with spin-flip dynamics. Difficulties encountered in earlier work are eliminated through the use of new recursion relations dependent on a continuous spatial rescaling factorb ⩾ 1. A more careful analysis and implementation of the approximation scheme is carried out. Our improved method allows the study of the anisotropy of the time-dependent structure factor and the pre-scaling behavior of the shape function.

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Anderson, S.R., Mazenko, G.F. & Valls, O.T. Generalized renormalization group treatment of the growth kinetics of unstable systems. J Stat Phys 41, 17–36 (1985). https://doi.org/10.1007/BF01020602

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