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Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation
Abstract
The renormalization-group method for studying critical phenomena is generalized to a class of dynamical systems---the time-dependent Ginzburg-Landau models. The effects of conservation laws on the critical dynamics are investigated through the study of models with different conservation properties for the energy and the space integral of the order parameter. Dynamic critical exponents near four dimensions ($d\ensuremath{\approx}4$) are obtained from recursion relations, analogous to those of Wilson and Fisher. The physical significance of the time-dependent Ginzburg-Landau models is explored and the applicability of the results to experiments on the NMR linewidth of Fe${\mathrm{F}}_{2}$ is discussed.
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Citations
Cited by
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
Self-citationStatistical theory of nucleation, condensation and coagulation
Binder, K., & Stauffer, D. (1976) · Advances in Physics · doi:10.1080/00018737600101402 · Cited by 699
Static and dynamic critical phenomena at a second order QCD phase transition
Rajagopal, K., & Wilczek, F. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90502-g · Cited by 550
Phase transitions in quantum chromodynamics
Meyer-Ortmanns, H. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.473 · Cited by 161
Metadata
- Authors
- Halperin, B. I., Hohenberg, P. C., & Ma, S.-K.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1974-07-01
- Volume
- 10
- Issue
- 1
- Pages
- 139-153
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W2080149290
- Cited by
- 548
- References
- 0
- FWCI
- 26.47
- Type
- journal article
- Language
- en
- Open access
- closed
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- Halperin, B. I., Hohenberg, P. C., & Ma, S.-K. (1974). Renormalization-group methods for critical dynamics: I. Recursion relations and effects of energy conservation. Physical Review B. https://doi.org/10.1103/physrevb.10.139
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