Renormalization-group flow equations of model F

Journal Article · Thu Aug 01 04:00:00 EDT 1991 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.44.2697· OSTI ID:5255281

Dohm, V ^[1]

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1. Institut fuer Theoretische Physik, Technische Hochschule Aachen, D-5100 Aachen (Germany)

The dynamic renormalization-group flow equations for model {ital F} of Halperin, Hohenberg, and Siggia (Phys. Rev. B 13, 1299 (1976)) are calculated by means of renormalized field theory within the minimal-renormalization scheme up to two-loop order. These equations are combined with the Borel-resummation results for the static renormalization-group functions computed by Schloms and Dohm. The corresponding static fixed point destabilizes the dynamic-scaling fixed point in two-loop order. The nonuniversal initial values of the static and dynamic flow equations are identified for the {lambda} transition of {sup 4}He at various pressures. Predictions are made for the bulk thermal conductivity very close to {ital T}{sub {lambda}} where the departures from dynamic scaling should be observable. Effective static and dynamic parameters are computed that can be applied to other critical phenomena above and below the {lambda} line of {sup 4}He.

• OSTI ID: 5255281
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 44:6; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
EVEN-EVEN NUCLEI
FLOW MODELS
HELIUM 4
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL MODELS
NUCLEI
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
RENORMALIZATION
SCALING LAWS
STABLE ISOTOPES
SUPERFLUIDITY
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES