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Variational Principles and Approximate Renormalization Group Calculations
Abstract
Approximate recursion relations which give upper and lower bounds on the free energy are described. "Optimal" calculations of the free energy can then be obtained by treating parameters within the renormalization equations variationally. As an example, simple lower-bound relations are defined for the two- and three-dimensional Ising models. At the fixed point, a parameter is set variationally, and then critical indices are calculated.
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Citations
Cited by
The renormalization group: Critical phenomena and the Kondo problem
Wilson, K. G. (1975) · Reviews of Modern Physics · doi:10.1103/revmodphys.47.773 · Cited by 4,522
Theory of first-order phase transitions
Binder, K. (1987) · Reports on Progress in Physics · doi:10.1088/0034-4885/50/7/001 · Cited by 1,076
Notes on Migdal's recursion formulas
Kadanoff, L. P. (1976) · Annals of Physics · doi:10.1016/0003-4916(76)90066-x · Cited by 785
Self-citationOn Interpretability of Artificial Neural Networks: A Survey
Fan, F.-L., Xiong, J., Li, M., & Wang, G. (2021) · IEEE Transactions on Radiation and Plasma Medical Sciences · doi:10.1109/trpms.2021.3066428 · Cited by 561
Renormalization-group treatment of a Potts lattice gas for krypton adsorbed onto graphite
Berker, A. N., Ostlund, S., & Putnam, F. A. (1978) · Physical Review B · doi:10.1103/physrevb.17.3650 · Cited by 275
Metadata
- Authors
- Kadanoff, L. P.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1975-04-21
- Volume
- 34
- Issue
- 16
- Pages
- 1005-1008
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1967003412
- Cited by
- 172
- References
- 0
- FWCI
- 14.69
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kadanoff, L. P. (1975). Variational Principles and Approximate Renormalization Group Calculations. Physical Review Letters. https://doi.org/10.1103/physrevlett.34.1005
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