A L Talapov and H W J Blöte 1996 J. Phys. A: Math. Gen. 29 5727 doi:10.1088/0305-4470/29/17/042
The magnetization of the 3D Ising model
A L Talapov
and H W J Blöte
We present highly accurate Monte Carlo results for simple cubic Ising lattices containing up to 
spins. These results were obtained by means of the Cluster Processor, a newly built special-purpose computer for the Wolff cluster simulation of the 3D Ising model. We find that the spontaneous magnetization M(t) is accurately described by 
, where 
, in a wide temperature range 0.0005 < t < 0.26. Any corrections to scaling with higher powers of t could not be resolved from our data, which implies that they are very small. The magnetization exponent is determined as 
. An analysis of the magnetization distribution near criticality yields a new determination of the critical point: 
, with a standard deviation of 
.
- PACS
-
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
75.10.Hk Classical spin models
- MSC
-
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
- Dates
-
Issue 17 (7 September 1996)
Received 8 March 1996, in final form 23 May 1996
-
The magnetization of the 3D Ising model
A L Talapov and H W J Blöte 1996 J. Phys. A: Math. Gen. 29 5727
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