Renormalization Group Theory for Global Asymptotic Analysis
- 5 September 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 73 (10) , 1311-1315
- https://doi.org/10.1103/physrevlett.73.1311
Abstract
We show with several examples that renormalization group (RG) theory can be used to understand singular and reductive perturbation methods in a unified fashion. Amplitude equations describing slow motion dynamics in nonequilibrium phenomena are RG equations. The renormalized perturbation approach may be simpler to use than other approaches, because it does not require the use of asymptotic matching and yields practically superior approximations.Keywords
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This publication has 16 references indexed in Scilit:
- Selection, stability and renormalizationPhysica A: Statistical Mechanics and its Applications, 1994
- Structural stability and renormalization group for propagating frontsPhysical Review Letters, 1994
- Renormalization Group and the Ginzburg-Landau equationCommunications in Mathematical Physics, 1992
- Anomalous dimensions and the renormalization group in a nonlinear diffusion processPhysical Review Letters, 1990
- Intermediate asymptotics and renormalization group theoryJournal of Scientific Computing, 1989
- Chemical Oscillations, Waves, and TurbulencePublished by Springer Nature ,1984
- Perturbation Methods in Applied MathematicsPublished by Springer Nature ,1981
- Similarity, Self-Similarity, and Intermediate AsymptoticsPublished by Springer Nature ,1979
- Finite bandwidth, finite amplitude convectionJournal of Fluid Mechanics, 1969
- Reductive Perturbation Method in Nonlinear Wave Propagation. IJournal of the Physics Society Japan, 1968