Collective Monte Carlo Updating for Spin Systems

by: Ulli Wolff

Physical Review Letters, Vol. 62, No. 4. (23 January 1989), 361.

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Abstract

A Monte Carlo algorithm is presented that updates large clusters of spins simultaneously in systems at and near criticality. We demonstrate its efficiency in the two-dimensional O( n ) σ models for n =1 (Ising) and n =2 ( x - y ) at their critical temperatures; and for n =3 (Heisenberg) with correlation lengths around 10 and 20. On lattices up to 128 2 no sign of critical slowing down is visible with autocorrelation times of 1-2 steps per spin for estimators of long-range quantities.

@article{citeulike:2101541, abstract = {A Monte Carlo algorithm is presented that updates large clusters of spins simultaneously in systems at and near criticality. We demonstrate its efficiency in the two-dimensional O( n ) σ models for n =1 (Ising) and n =2 ( x - y ) at their critical temperatures; and for n =3 (Heisenberg) with correlation lengths around 10 and 20. On lattices up to 128 2 no sign of critical slowing down is visible with autocorrelation times of 1-2 steps per spin for estimators of long-range quantities.}, author = {Wolff, Ulli }, citeulike-article-id = {2101541}, doi = {10.1103/PhysRevLett.62.361}, journal = {Physical Review Letters}, keywords = {computation, mc, physics, simulation, statmech, theory}, month = {January}, number = {4}, pages = {361+}, posted-at = {2007-12-13 02:04:34}, priority = {3}, publisher = {American Physical Society}, title = {Collective Monte Carlo Updating for Spin Systems}, url = {http://dx.doi.org/10.1103/PhysRevLett.62.361}, volume = {62}, year = {1989} }

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TY - JOUR ID - citeulike:2101541 L3 - citeulike-article-id:2101541 TI - Collective Monte Carlo Updating for Spin Systems JF - Physical Review Letters VL - 62 IS - 4 SP - 361 PB - American Physical Society N2 - A Monte Carlo algorithm is presented that updates large clusters of spins simultaneously in systems at and near criticality. We demonstrate its efficiency in the two-dimensional O( n ) σ models for n =1 (Ising) and n =2 ( x - y ) at their critical temperatures; and for n =3 (Heisenberg) with correlation lengths around 10 and 20. On lattices up to 128 2 no sign of critical slowing down is visible with autocorrelation times of 1-2 steps per spin for estimators of long-range quantities. KW - computation KW - mc KW - physics KW - simulation KW - statmech KW - theory AU - Wolff, Ulli PY - 1989/01/23/ UR - http://dx.doi.org/10.1103/PhysRevLett.62.361 ER -

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