Abstract
The critical dynamics of a stochastic Ginzburg-Landau model of an $N$-component order parameter coupled to a conserved-energy-density field is studied with the help of field-theoretical techniques introduced in previous work. Our results essentially confirm and refine upon those of Halperin, Hohenberg, and Ma. Scaling laws are derived (whenever they hold). A better knowledge of the domain structure of the ($N, d$) plane and the corresponding critical exponents is obtained, in particular one additional region is shown to be present. Stability criteria lead to a characterization of the leading corrections to dynamical scaling by extra exponents which, except for one of them, are related to known static exponents.
Keywords
Statistical physicsPhysicsGinzburg–Landau theoryScalingCritical exponentConservation lawDomain (mathematical analysis)Field (mathematics)Field theory (psychology)Critical phenomenaPlane (geometry)Mathematical physicsMathematicsQuantum mechanicsPhase transitionMathematical analysisMagnetic fieldPure mathematics
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Publication Info
- Year
- 1975
- Type
- article
- Volume
- 12
- Issue
- 11
- Pages
- 4954-4962
- Citations
- 55
- Access
- Closed
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Cite This
E. Brézin,
C. De Dominicis
(1975).
Field-theoretic techniques and critical dynamics. II. Ginzburg-Landau stochastic models with energy conservation.
Physical review. B, Solid state
, 12
(11)
, 4954-4962.
https://doi.org/10.1103/physrevb.12.4954
Identifiers
- DOI
- 10.1103/physrevb.12.4954