Reweighting in Monte Carlo and Monte Carlo renormalizationgroup studies
Abstract
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 renormalizationgroup 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 specificheat 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 renormalizationgroup 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.
 Authors:

 Department of Physics and Measurement Technology, Linkoeping Institute of Technology, S58183 Linkoeping, (Sweden) Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 323064052 (USA)
 Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 323064052 (USA)
 Publication Date:
 OSTI Identifier:
 5662350
 DOE Contract Number:
 FC0585ER25000
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review, B: Condensed Matter; (USA)
 Additional Journal Information:
 Journal Volume: 43:7; Journal ID: ISSN 01631829
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; FERROMAGNETIC MATERIALS; ISING MODEL; CRITICAL TEMPERATURE; MONTE CARLO METHOD; RENORMALIZATION; SPECIFIC HEAT; THREEDIMENSIONAL CALCULATIONS; TWODIMENSIONAL CALCULATIONS; CRYSTAL MODELS; MAGNETIC MATERIALS; MATERIALS; MATHEMATICAL MODELS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES; TRANSITION TEMPERATURE; 656002*  Condensed Matter Physics General Techniques in Condensed Matter (1987)
Citation Formats
Muenger, E P, and Novotny, M A. Reweighting in Monte Carlo and Monte Carlo renormalizationgroup studies. United States: N. p., 1991.
Web. doi:10.1103/PhysRevB.43.5773.
Muenger, E P, & Novotny, M A. Reweighting in Monte Carlo and Monte Carlo renormalizationgroup studies. United States. doi:10.1103/PhysRevB.43.5773.
Muenger, E P, and Novotny, M A. Fri .
"Reweighting in Monte Carlo and Monte Carlo renormalizationgroup studies". United States. doi:10.1103/PhysRevB.43.5773.
@article{osti_5662350,
title = {Reweighting in Monte Carlo and Monte Carlo renormalizationgroup studies},
author = {Muenger, E P and Novotny, M A},
abstractNote = {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 renormalizationgroup 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 specificheat 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 renormalizationgroup 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.},
doi = {10.1103/PhysRevB.43.5773},
journal = {Physical Review, B: Condensed Matter; (USA)},
issn = {01631829},
number = ,
volume = 43:7,
place = {United States},
year = {1991},
month = {3}
}