Reweighting in Monte Carlo and Monte Carlo renormalization-group studies

Journal Article · Thu Feb 28 23:00:00 EST 1991 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.43.5773· OSTI ID:5662350

Muenger, E P ^[1]; Novotny, M A ^[2]

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1. Department of Physics and Measurement Technology, Linkoeping Institute of Technology, S-58183 Linkoeping, (Sweden) Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306-4052 (USA)
2. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306-4052 (USA)

A method of reweighting Monte Carlo data to parameters other than the simulated ones is investigated. The method is also extended to include Monte Carlo renormalization-group simulations. Both single and multiple simulation reweighting is used. The models studied are the {ital d}=2 ferromagnetic {ital q}=3 Potts model and the {ital d}=2 antiferromagnetic Ising model. It is shown that the reweighting produces a systematic shift in the height and location of the specific-heat peak. This shift, which without proper care may lead to erroneous results, depends on the simulated and reweighted temperatures and on the number of configurations included in the reweighting. Only for very large numbers of configurations does the shift decrease as the inverse square root of the number of configurations. Within the Monte Carlo renormalization-group study, it is shown that the critical exponents for the Ising model are determined more accurately from a multiple reweighting using one simulation below the critical temperature and one above than from the individual simulations. It is shown that it is more efficient to use two simulations at a time than all of them at once when reweighting multiple simulations.

• DOE Contract Number: FC05-85ER25000
• OSTI ID: 5662350
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 43:7; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRITICAL TEMPERATURE
CRYSTAL MODELS
FERROMAGNETIC MATERIALS
ISING MODEL
MAGNETIC MATERIALS
MATERIALS
MATHEMATICAL MODELS
MONTE CARLO METHOD
PHYSICAL PROPERTIES
RENORMALIZATION
SPECIFIC HEAT
THERMODYNAMIC PROPERTIES
THREE-DIMENSIONAL CALCULATIONS
TRANSITION TEMPERATURE
TWO-DIMENSIONAL CALCULATIONS