Multigrid Monte Carlo algorithm with higher cycles in the sine-Gordon model

Journal Article · Thu Apr 15 04:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.R3103· OSTI ID:6942971

Grabenstein, M; Mikeska, B ^[1]

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1. II. Institut fuer Theoretische Physik, Universitaet Hamburg, Luruper Chaussee 149, W-2000 Hamburg 50 (Germany)

We study the dynamical critical behavior of a multigrid Monte Carlo algorithm for the two-dimensional sine-Gordon model on lattices up to 128[times]128. Using piecewise constant interpolation, we perform a [ital W] cycle ([gamma]=2). We examine whether one can reduce critical slowing down caused by decreasing acceptance rates on large blocks by doing more work on coarser lattices. To this end, we choose a higher cycle with [gamma]=4. The results clearly demonstrate that critical slowing down is not reduced in either case.

• OSTI ID: 6942971
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:8; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
CALCULATION METHODS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
SINE-GORDON EQUATION