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) |
|---|---|
| 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
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Cite this
Edwards, R. G., Goodman, J., & Sokal, A. D. (1991). Multi-grid Monte Carlo (II). Two-dimensional XY model. Nuclear Physics, Section B, 354(2-3), 289-327. https://doi.org/10.1016/0550-3213(91)90357-4