A new MCRG (Monte Carlo Renormalization Group) calculation of the critical behavior of the 3d ising model - preliminary results

Conference · Thu Oct 05 04:00:00 EDT 1989

OSTI ID:5589282

Baillie, C. F.; Barish, K. N.; Gupta, R.; Pawley, G. S. ^[1]

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1. California Inst. of Tech., Pasadena, CA (USA)

We have undertaken a large-scale computer simulation of the 3d Ising model using the Monte Carlo Renormalization Group (MCRG) method. Our calculation improves on past calculations in three ways. Firstly, larger lattices are used -- we have run on 128{sup 3} as well as 64{sup 3}. Secondly, many more spin operators -- 53 even and 46 odd -- are measured. Lastly, we have incorporated more efficient ways of spin update -- Wolff's single-cluster variant of the Swendsen and Wang algorithm. In addition to calculating the critical temperature the thermal and magnetic exponents, and improving the estimate of the correction-to-scaling exponent, we are aiming to verify the presence of redundant operators. We do not yet have sufficient statistics to give final results so here we describe our calculation and present preliminary results which demonstrate that we have control over both finite size effects and systematic errors arising from truncation. 16 refs., 7 figs.

• Research Organization: California Inst. of Tech., Pasadena, CA (USA)
• Sponsoring Organization: DOE/ER
• DOE Contract Number: FG03-85ER25009; AC03-81ER40050
• OSTI ID: 5589282
• Report Number(s): DOE/ER/25009-831; CONF-8909249--1; ON: DE90001426
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990210 -- Supercomputers-- (1987-1989)
ALGORITHMS
ARRAY PROCESSORS
COMPUTERIZED SIMULATION
CRYSTAL MODELS
EIGENVALUES
FERROMAGNETISM
ISING MODEL
MAGNETISM
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MONTE CARLO METHOD
SIMULATION
THREE-DIMENSIONAL CALCULATIONS