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Derivation of Amplitude Equations by Renormalization Group Method

Ken-ichi Matsuba·Kazuhiro Nozaki
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Abstract

A proper formulation in the perturbative renormalization group method is presented to deduce amplitude equations. The formulation makes it possible not only avoiding a serious difficulty in the previous reduction to amplitude equations by eliminating all of the secular terms but also consistent derivation of higher-order correction to amplitude equations.

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Ken-ichi Matsuba, Kazuhiro Nozaki. 1997-03-10. Derivation of Amplitude Equations by Renormalization Group Method. https://doi.org/10.1103/physreve.56.r4926

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