Multigrid Monte Carlo algorithm with higher cycles in the sine-Gordon model
Martin Grabenstein, Bernhard Mikeska · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1993
We study the dynamical critical behavior of a multigrid Monte Carlo algorithm for the two-dimensional sine-Gordon model on lattices up to 128 \ifmmode\times\else\texttimes\fi{} 128. Using piecewise constant interpolation, we perform a $W$ cycle ($\ensuremath{\gamma}=2$). 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 $\ensuremath{\gamma}=4$. The results clearly demonstrate that critical slowing down is not reduced in either case.