A note on the mean size of clusters in the Ising model
- 1 December 1976
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 9 (12) , 2131-2137
- https://doi.org/10.1088/0305-4470/9/12/017
Abstract
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*c.Keywords
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