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MULTIGRID MONTE-CARLO .2. 2-DIMENSIONAL XY-MODEL

EDWARDS, RG; GOODMAN, J; SOKAL, AD; (1991) MULTIGRID MONTE-CARLO .2. 2-DIMENSIONAL XY-MODEL. NUCL PHYS B , 354 (2-3) 289 - 327.

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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 X 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 criticality, 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.

Type:Article
Title:MULTIGRID MONTE-CARLO .2. 2-DIMENSIONAL XY-MODEL
Keywords:PLANE-ROTATOR MODEL, DYNAMIC CRITICAL-BEHAVIOR, HIGH-TEMPERATURE SERIES, LATTICE FIELD-THEORIES, MANY-FERMION SYSTEMS, PHASE-TRANSITION, HELICITY MODULUS, 2 DIMENSIONS, CORRELATION-INEQUALITY, RENORMALIZATION-GROUP
UCL classification:UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics

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