Abstract
We study the dynamic critical behavior of the multi-grid Monte Carlo (MGMC) algorithm applied to the two-dimensional XY model, on lattices up to 128 × 128. In the low-temperature (spin-wave) phase, we find that critical slowing-down is completely eliminated (z = 0). On the high-temperature side of critically, we find that the dynamic critical exponent is z = 1.4±0.3, compared to z = 2.1±0.3 for the heat-bath algorithm. We attribute the remaining critical slowing-down on the high-temperature side of criticality to the limited effectiveness of the MGMC updates in creating and destroying widely separated vortex-antivortex pairs.
Original language | English (US) |
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Pages (from-to) | 289-327 |
Number of pages | 39 |
Journal | Nuclear Physics, Section B |
Volume | 354 |
Issue number | 2-3 |
DOIs | |
State | Published - May 6 1991 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics