The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
Renormalization Group Theory for Global Asymptotic Analysis
Open accessAbstract
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.
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Cites
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Chemical Oscillations, Waves, and Turbulence
Kuramoto, Y. (1984) · Springer Series in Synergetics · doi:10.1007/978-3-642-69689-3 · Cited by 7,142
Quantum Field Theory and Critical Phenomena
Zinn-Justin, J. (2002) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198509233.001.0001 · Cited by 5,116
Advanced Mathematical Methods for Scientists and Engineers I
Bender, C. M., & Orszag, S. A. (1999) · doi:10.1007/978-1-4757-3069-2 · Cited by 4,906
Nayfeh, A. H. (2000) · Wiley eBooks · doi:10.1002/9783527617609 · Cited by 4,905
Lectures on Phase Transitions and the Renormalization Group
Goldenfeld, N. (2018) · CRC Press eBooks · doi:10.1201/9780429493492 · Cited by 2,353
Self-citationPerturbation Methods in Applied Mathematics
Cole, J. D., & Levine, L. E. (1973) · IEEE Transactions on Systems, Man, and Cybernetics · doi:10.1109/tsmc.1973.4309322 · Cited by 1,831
Hydrodynamic fluctuations at the convective instability
Swift, J., & Hohenberg, P. C. (1977) · Physical Review A · doi:10.1103/physreva.15.319 · Cited by 1,648
Quantum Electrodynamics at Small Distances
Gell-Mann, M., & Low, F. E. (1954) · Physical Review · doi:10.1103/physrev.95.1300 · Cited by 1,639
Perturbation Methods in Applied Mathematics
Kevorkian, J., & Cole, J. D. (1981) · Applied Mathematical Sciences · doi:10.1007/978-1-4757-4213-8 · Cited by 1,517
Cited by
Spacetime emergence via holographic RG flow from incompressible Navier-Stokes at the horizon
Kuperstein, S., & Mukhopadhyay, A. (2013) · Journal of High Energy Physics · doi:10.1007/jhep11(2013)086 · Cited by 29
Metadata
- Authors
- Chen, L. Y., Goldenfeld, N., & Oono, Y.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1994-09-05
- Volume
- 73
- Issue
- 10
- Pages
- 1311-1315
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1980340664
- Cited by
- 260
- References
- 15
- FWCI
- 6.72
- Type
- journal article
- Language
- en
- Open access
- green
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- Chen, L. Y., Goldenfeld, N., & Oono, Y. (1994). Renormalization Group Theory for Global Asymptotic Analysis. Physical Review Letters. https://doi.org/10.1103/physrevlett.73.1311
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