论文标题
具有远距离相互作用的ISING模型的N-Vicinity方法
n-vicinity method for Ising Model with long-range interaction
论文作者
论文摘要
先前开发的N-磁化方法使我们能够计算出具有短距离相互作用的ISING模型的临界温度的准确临界值。我们将这种方法概括为自旋系统中远程相互作用的情况，并根据自旋相互作用常数获得反向温度的理论公式。我们的理论估计与二维和三维ISING模型的计算机模拟进行比较表明，问题的维度越大，他们的一致性就越好。
The previously developed n-vicinity method allows us to calculate accurately critical values of inverse temperatures for Ising models with short-range interaction. We generalize the method to the case of long-range interactions in spin systems and obtain theoretical formulas for the inverse temperatures in terms of the spin interaction constants. The comparison of our theoretical estimates with computer simulations for the two- and three-dimensional Ising models shows that the larger the dimension of the problem the better their agreement.
