Comparison between finite-size field theory and Monte Carlo simulations for the three-dimensional Ising model

✍ Scribed by X.S. Chen; V. Dohm; A.L. Talapov

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 742 KB
• Volume: 232
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(96)00130-6

✦ Synopsis

Recent field-theoretic predictions of finite-size effects for various thermodynamic quantities near the critical point are compared with new accurate Monte Carlo (MC) data for the L x L x L Ising model obtained from a cluster-algorithm special-purpose computer. Owing to the large size (L = 32,64, 128,256) of the Ising models, these MC data permit to test the finite-size field theory in the asymptotic scaling region above and below To. The results constitute the most accurate confirmation of finite-size scaling in three dimensions obtained to date in a wide range of temperatures. Agreement with the predicted shape of the finite-size scaling functions is found on a quantitative level.