Critical exponents from power spectra
- HLRZ, Juelich (Germany)
- Aarhus, Univ. (Denmark)
In this work, the authors have simulated the two- and three-dimensional Ising models at their respective critical points with a conventional Monte Carlo algorithm. From the power spectrum of the magnetization autocorrelations they have determined the dynamic critical exponents and obtained the values z = 2.16-2.19 and z = 2.05, in agreement with the results quoted in the literature. The authors have also studied the power spectrum for the Kardar-Parisi-Zhang and Sun-Guo-Grant equations describing interface dynamics. Arguments similar to what was recently used to conclude that z = 4[minus]n for model B in critical dynamics were applied to the Sun-Guo-Grant growth model and the known exact values for the roughening and dynamic exponents were obtained. From an analysis of the corresponding power spectrum in self-organized critical sand models one obtains a recently proposed hyperscaling relation. 29 refs., 5 figs.
- OSTI ID:
- 5877636
- Journal Information:
- Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 72:1-2; ISSN JSTPBS; ISSN 0022-4715
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
CRYSTAL MODELS
CRYSTAL-PHASE TRANSFORMATIONS
FIELD THEORIES
INTERFACES
ISING MODEL
LATTICE FIELD THEORY
MAGNETIZATION
MATHEMATICAL MODELS
MECHANICS
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
SIMULATION
STATISTICAL MECHANICS
STATISTICAL MODELS
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS