Field-theoretic techniques and critical dynamics. I. Ginzburg-Landau stochastic models without energy conservation

Journal Article · Mon Dec 01 00:00:00 EST 1975 · Phys. Rev., B, v. 12, no. 11, pp. 4945-4953

DOI:https://doi.org/10.1103/PhysRevB.12.4945· OSTI ID:4104227

De Dominicis, C; Brezin, E; Zinn-Justin, J

Renormalization techniques of field theory are used to prove (order by order to all orders) dynamical scaling laws on a Ginzburg-Landau stochastic model studied by Halperin, Hohenberg, and Ma. The dynamical exponent is calculated to order epsilon$sup 3$ and so is the new exponent $omega$/subb/, which governs the vanishing of the imaginary part of the (renormalized) kinetic coefficient, and appears among the corrections to scaling. Difficulties of previous calculations taking a microscopic approach to the critical dynamics of a Bose system are commented upon. (AIP)

• Research Organization: Service de Physique Theorique, Centre d'Etudes Nucleaires de Saclay, BP. 2-91190 Gif-sur-Yvette, France
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-018743
• OSTI ID: 4104227
• Journal Information: Phys. Rev., B, v. 12, no. 11, pp. 4945-4953, Other Information: Orig. Receipt Date: 30-JUN-76
• Country of Publication: United States
• Language: English

Related Subjects

N66200* -Physics (Low Temperature)-Superconductivity
643901*
*SUPERCONDUCTORS- SCALING LAWS
BOSE-EINSTEIN STATISTICS
CONSERVATION LAWS
COOPER PAIRS
FIELD THEORIES
RENORMALIZATION
STOCHASTIC PROCESSES