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

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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.

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5 p.

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Baker, G.A. Jr. & Gupta, R. May 1, 1996.

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Description

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.

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5 p.

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OSTI as DE96008492

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  • 9. computer simulation studies in condensed matter physics, Athens, GA (United States), 4-8 Mar 1996

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  • Other: DE96008492
  • Report No.: LA-UR--96-0611
  • Report No.: CONF-9603145--2
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 226059
  • Archival Resource Key: ark:/67531/metadc673042

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  • May 1, 1996

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  • June 29, 2015, 9:42 p.m.

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  • Feb. 25, 2016, 1:44 p.m.

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Baker, G.A. Jr. & Gupta, R. Behavior of the finite-sized, three-dimensional, Ising model near the critical point, article, May 1, 1996; New Mexico. (digital.library.unt.edu/ark:/67531/metadc673042/: accessed September 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.