一维Kac模型的长程扰动研究
Study of a long range perturbation of a one-dimensional Kac model
摘要：
我们考虑一维铁磁伊辛自旋系统，其相互作用对应于通常的Kac模型的$1/r^2$长程微扰。我们应用广泛用于高维有限范围Kac势的粗粒化过程来描述系统的基本性质以及与平均场论的关系。
英文摘要：
We consider a one dimensional ferromagnetic Ising spin system with interactions that correspond to a $1/r^2$ long range perturbation of the usual Kac model. We apply a coarse graining procedure, widely used for higher-dimensional finite range Kac potentials, to describe the basic properties of the system and the relation with the mean field theory.
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