Multigrid Monte Carlo with higher cycles in the Sine Gordon model
High Energy Physics - Lattice
2009-12-30 v1 Condensed Matter
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.
Keywords
Cite
@article{arxiv.hep-lat/9301011,
title = {Multigrid Monte Carlo with higher cycles in the Sine Gordon model},
author = {Martin Grabenstein and Bernhard Mikeska},
journal= {arXiv preprint arXiv:hep-lat/9301011},
year = {2009}
}
Comments
7 pages, 1 figure, whole paper including figure contained in ps-file, DESY 93-007