Multigrid Monte Carlo with higher cycles in the Sine Gordon model

Abstract

We study the dynamical critical behavior of multigrid Monte Carlo for the two dimensional Sine Gordon model on lattices up to 128 x 128. Using piecewise constant interpolation, we perform a 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.

7 pages, 1 figure, whole paper including figure contained in ps-file, DESY 93-007

References in corpus (1)

• Acceptance Rates in Multigrid Monte Carlo

Cited by in corpus (4)

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• Multi-Grid Monte Carlo via $XY$ Embedding I. General Theory and Two-Dimensional $O(N)$-Symmetric Nonlinear $\sigma$-Models
• Multi-Grid Monte Carlo. IV. One-Dimensional $O(4)$-Symmetric Nonlinear $\sigma$-Model
• Multigrid Monte Carlo in the Sine Gordon model