Clusters in the three-dimensional Ising model with a magnetic field

✍ Scribed by Jian-Sheng Wang

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 908 KB
• Volume: 161
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(89)90468-8

✦ Synopsis

We ~,ludv the clusters generated in the Swcndsen-Wang algorithm in a magnetic ticld. It is shown that the number of clusters is related to that of Coniglio and Klein by simple [actors. With this delinition of clusters, inlinite size appears whenever the system has a nonzero magnetization. Scaling behavior of the number of clusters near the critical point is confirmed. The number of clusters away from the critical point for large duster size .s is consistent with

In n :: ,,,,.,ll'l" ,1".$ "2 a ,.'J~ the hra-:,-mner;dur4:. ~ide of the Conielio-Klein~ c!,:,ler percolation transition line. and is consistent with In n----([hl + c)s on the high temperature side. We also argue that this transition line is given by h = ±/~(1") ~ (l-I~ )' " near 7.