Journal article
Nonuniversal quantities from dual renormalization group transformations
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, Vol.60(3), pp.2612-2615
09/1999
DOI: 10.1103/PhysRevE.60.2612
PMID: 11970062
Abstract
Using a simplified version of the renormalization group (RG) transformation of Dyson's hierarchical model, we show that one can calculate all the nonuniversal quantities entering into the scaling laws by combining an expansion about the high-temperature fixed point with a dual expansion about the critical point. The magnetic susceptibility is expressed in terms of two dual quantities transforming covariantly under an RG transformation and has a smooth behavior in the high-temperature limit. Using the analogy with Hamiltonian mechanics, the simplified example discussed here is similar to the anharmonic oscillator, while more realistic examples can be thought of as coupled oscillators, allowing resonance phenomena.
Details
- Title: Subtitle
- Nonuniversal quantities from dual renormalization group transformations
- Creators
- Y Meurice - University of IowaS Niermann
- Resource Type
- Journal article
- Publication Details
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, Vol.60(3), pp.2612-2615
- DOI
- 10.1103/PhysRevE.60.2612
- PMID
- 11970062
- NLM abbreviation
- Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics
- ISSN
- 1063-651X
- eISSN
- 1095-3787
- Language
- English
- Date published
- 09/1999
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984199827902771
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