A note on the mean size of clusters in the Ising model
A note on the mean size of clusters in the Ising model
复制标题
关于伊辛模型中簇的平均大小的注释
DOI：
10.1088/0305-4470/9/12/017
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发表时间：
1976
期刊：
影响因子：
--
通讯作者：
D. S. Gaunt
中科院分区：
文献类型：
--
作者：
M. Sykes;D. S. Gaunt
简要描述了伊辛模型中有限簇平均大小的级数展开式的推导。从低温系列分析得出的结论是，对于零磁场下的二维晶格，在伊辛临界温度Tc处，平均尺寸可能发散为(Tc-T)-theta，其中theta=1.91+or-0.01。因此，看起来 theta < gamma '=1.75 相应的伊辛磁化率指数。对于三维晶格，初步得出平均尺寸在某个温度 T* 下发散的结论
The derivation of series expansions for the mean size of finite clusters in the Ising model is described briefly. From the analysis of low temperature series it is concluded that for a two-dimensional lattice in zero magnetic field the mean size probably diverges at the Ising critical temperature, Tc, as (Tc-T)- theta , with theta =1.91+or-0.01. It appears therefore that theta < gamma '=1.75 the corresponding Ising susceptibility exponent. For a three-dimensional lattice it is tentatively concluded that the mean size diverges at some temperature T*