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Title: Reweighting in Monte Carlo and Monte Carlo renormalization-group 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 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.

Authors:
 [1];  [2]
  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)
Publication Date:
OSTI Identifier:
5662350
DOE Contract Number:  
FC05-85ER25000
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter; (USA)
Additional Journal Information:
Journal Volume: 43:7; Journal ID: ISSN 0163-1829
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; THREE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL 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 renormalization-group 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 renormalization-group studies. United States. doi:10.1103/PhysRevB.43.5773.
Muenger, E P, and Novotny, M A. Fri . "Reweighting in Monte Carlo and Monte Carlo renormalization-group studies". United States. doi:10.1103/PhysRevB.43.5773.
@article{osti_5662350,
title = {Reweighting in Monte Carlo and Monte Carlo renormalization-group 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 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.},
doi = {10.1103/PhysRevB.43.5773},
journal = {Physical Review, B: Condensed Matter; (USA)},
issn = {0163-1829},
number = ,
volume = 43:7,
place = {United States},
year = {1991},
month = {3}
}