Classical critical behavior of spin models with long-range interactions

被引:173
作者
Luijten, E
Blote, HWJ
机构
[1] Department of Physics, Delft University of Technology, 2628 CJ Delft
关键词
D O I
10.1103/PhysRevB.56.8945
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present the results of extensive Monte Carlo simulations of Ising models with algebraically decaying ferromagnetic interactions in the regime where classical critical behavior is expected for these systems. We corroborate the values for the exponents predicted by renormalization theory for systems in one, two, and three dimensions and accurately observe the predicted logarithmic corrections at the upper critical dimension. We give both theoretical and numerical evidence that above the upper critical dimension the decay of the critical spin-spin correlation function in finite systems consists of two different regimes. For one-dimensional systems our estimates for the critical couplings are more than two orders of magnitude more accurate than existing estimates. In two and three dimensions we are unaware of any other results for the critical couplings.
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页码:8945 / 8958
页数:14
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