Behavior of the finitesized, threedimensional, 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 systemsize 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:

 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):
 LAUR960611; CONF96031452
ON: DE96008492; TRN: AHC29610%%101
 DOE Contract Number:
 W7405ENG36
 Resource Type:
 Conference
 Resource Relation:
 Conference: 9. computer simulation studies in condensed matter physics, Athens, GA (United States), 48 Mar 1996; Other Information: PBD: [1996]
 Country of Publication:
 United States
 Language:
 English
 Subject:
 66 PHYSICS; ISING MODEL; SCALING LAWS; THREEDIMENSIONAL CALCULATIONS; RENORMALIZATION; LIMITING VALUES; PROBABILISTIC ESTIMATION
Citation Formats
Baker, Jr, G A, and Gupta, R. Behavior of the finitesized, threedimensional, Ising model near the critical point. United States: N. p., 1996.
Web.
Baker, Jr, G A, & Gupta, R. Behavior of the finitesized, threedimensional, Ising model near the critical point. United States.
Baker, Jr, G A, and Gupta, R. Wed .
"Behavior of the finitesized, threedimensional, Ising model near the critical point". United States. https://www.osti.gov/servlets/purl/226059.
@article{osti_226059,
title = {Behavior of the finitesized, threedimensional, 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 systemsize 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}
}
Other availability
Please see Document Availability for additional information on obtaining the fulltext document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.