The Magnetization of the 3D Ising Model
| dc.creator | Talapov, A. L. | |
| dc.creator | Blöte, H. W. J. | |
| dc.date | 1996-03-02 | |
| dc.date.accessioned | 2026-07-07T10:57:51Z | |
| dc.date.available | 2026-07-07T10:57:51Z | |
| dc.description | We present highly accurate Monte Carlo results for simple cubic Ising lattices containing up to $256^3$ 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 magnetization $M(t)$ is perfectly described by $M(t)=(a_0-a_1 t^θ - a_2 t) t^β $, where $t=(T_{\rm c}-T)/T_{\rm c}$, in a wide temperature range $0.0005 < t < 0.26 $. If there exist corrections to scaling with higher powers of $t$, they are very small. The magnetization exponent is determined as $β=0.3269$ (6). An analysis of the magnetization distribution near criticality yields a new determination of the critical point: $K_{\rm c}=J/k_B T_{\rm c}=0.2216544$, with a standard deviation of $3\cdot 10^{-7}$. | |
| dc.description | 7 pages, 5 Postscript figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9603013 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9603013 | |
| dc.identifier | J.Phys.A29:5727-5734,1996 | |
| dc.identifier | doi:10.1088/0305-4470/29/17/042 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186898 | |
| dc.subject | Condensed Matter | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | The Magnetization of the 3D Ising Model | |
| dc.type | text |