Behavior of the finite-sized, three-dimensional, Ising model near the critical point
Conference
·
OSTI ID:226059
- Los Alamos National Lab., NM (United States). Theoretical Div.
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.
- Research Organization:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 226059
- Report Number(s):
- LA-UR-96-0611; CONF-9603145-2; ON: DE96008492; TRN: AHC29610%%101
- 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
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