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Title: Behavior of the finite-sized, three-dimensional, Ising model near the critical point

Abstract

Recent work showing the validity of hyperscaling involved results for finite size systems very near the critical point. The authors study this problem in more detail, and give estimators related to the Binder cumulant ratio which seem to approach the critical temperature from above and below. Based on these results, they estimate that the renormalized coupling constant, computed for the temperature fixed at the critical temperature and then taking the large system-size limit, is about 4.9 {+-} 0.1, and give a likely lower bound for it of 4.5. These estimates are argued to suffice to show the validity of hyperscaling.

Authors:
;  [1]
  1. Los Alamos National Lab., NM (United States). Theoretical Div.
Publication Date:
Research Org.:
Los Alamos National Lab., NM (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
226059
Report Number(s):
LA-UR-96-0611; CONF-9603145-2
ON: DE96008492; TRN: AHC29610%%101
DOE Contract Number:  
W-7405-ENG-36
Resource Type:
Conference
Resource Relation:
Conference: 9. computer simulation studies in condensed matter physics, Athens, GA (United States), 4-8 Mar 1996; Other Information: PBD: [1996]
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; ISING MODEL; SCALING LAWS; THREE-DIMENSIONAL CALCULATIONS; RENORMALIZATION; LIMITING VALUES; PROBABILISTIC ESTIMATION

Citation Formats

Baker, Jr, G A, and Gupta, R. Behavior of the finite-sized, three-dimensional, Ising model near the critical point. United States: N. p., 1996. Web.
Baker, Jr, G A, & Gupta, R. Behavior of the finite-sized, three-dimensional, Ising model near the critical point. United States.
Baker, Jr, G A, and Gupta, R. Wed . "Behavior of the finite-sized, three-dimensional, Ising model near the critical point". United States. https://www.osti.gov/servlets/purl/226059.
@article{osti_226059,
title = {Behavior of the finite-sized, three-dimensional, Ising model near the critical point},
author = {Baker, Jr, G A and Gupta, R},
abstractNote = {Recent work showing the validity of hyperscaling involved results for finite size systems very near the critical point. The authors study this problem in more detail, and give estimators related to the Binder cumulant ratio which seem to approach the critical temperature from above and below. Based on these results, they estimate that the renormalized coupling constant, computed for the temperature fixed at the critical temperature and then taking the large system-size limit, is about 4.9 {+-} 0.1, and give a likely lower bound for it of 4.5. These estimates are argued to suffice to show the validity of hyperscaling.},
doi = {},
url = {https://www.osti.gov/biblio/226059}, journal = {},
number = ,
volume = ,
place = {United States},
year = {1996},
month = {5}
}

Conference:
Other availability
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