自旋系统谱密度的可解模型计算
The Spectral Density of a Spin System Calculated for Solvable Models
摘要:
研究了自旋系统的谱密度与自由能之间的关系。确定了可解模型的谱密度计算的解析表达式。采用线性伊辛模型对该方法进行了验证。此外,还利用该方法分析了二维伊辛模型、贝特格点模型和平均场模型的谱密度.即使是一个很小的变化的频谱密度示出能够从根本上改变系统的参数。
英文摘要:
The relationship between the spectral density and free energy of a spin system is considered. The analytical expressions allowing for the calculation of the spectral density for solvable models are determined. A linear Ising model is taken for testing the approach. Additionally, the approach is used to analyze the spectral density of a 2D Ising model, a Bethe-lattice model and a mean-field model. Even a small change of the spectral density is shown to be able to radically change the parameters of the system.
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