共查询到18条相似文献,搜索用时 87 毫秒
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利用等效变换和自旋重标相结合的方法, 研究了镶嵌正方晶格上的Gauss模型. 研究 发现, 该系统可以变换为正方晶格上具有最近邻和次近邻相互作用的Gauss系统, 由此严格求得了镶嵌正方晶格上Gauss模型的临界温度, 得到了该系统的精确相图. 相似文献
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尹训昌 《原子与分子物理学报》2015,32(6)
采用等效变化的方法,把嵌套正方晶格转化为可求解的正方晶格。利用重整化群变换,我们求得了正方系统的临界点。结合本文中给出的两个变换关系,得到了嵌套正方晶格上反铁磁高斯模型的临界点为 K=-0.707b。 相似文献
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采用等效变换的方法,把嵌套正方晶格转化为可求解的正方晶格.利用重整化群变换,我们求得了正方系统的临界点.结合本文中给出的两个变换关系,得到了嵌套正方晶格上反铁磁高斯模型的临界点为K*=-0.707b. 相似文献
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Ferromagnetic Ising models on the lattice Sierpinski gasket are considered. We prove the Dobrushin-Shlosmann mixing condition and discuss corresponding properties of the stochastic Ising models. 相似文献
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Using the renormalization group method, the critical behavior of Gaussian model is studied in external magnetic fields on X fractal lattices embedded in two-dimensional and d-dimensional (d > 2) Euclidean spaces, respectively. Critical points and exponents are calculated. It is found that there is long-range order at finite temperature for this model, and that the critical points do not change with the space dimensionality d (or the fractal dimensionality dr). It is also found that the critical exponents are very different from results of Ising model on the same lattices, and that the exponents on X lattices are different from the exact results on translationally symmetric lattices. 相似文献
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The Gaussian spin model with periodic interactions on the diamond-type hierarchical lattices is constructed by generalizing that with uniform interactions on translationally invariant lattices according to a class of substitution sequences.The Gaussian distribution constants and imposed external magnetic fields are also periodic depending on the periodic characteristic of the interaction onds.The critical behaviors of this generalized Gaussian model in external magnetic fields are studied by the exact renormalization-group approach and spin rescaling method.The critical points and all the critical exponents are obtained.The critical behaviors are found to be determined by the Gaussian distribution constants and the fractal dimensions of the lattices.When all the Gaussian distribution constants are the same,the dependence of the critical exponents on the dimensions of the lattices is the same as that of the Gaussian model with uniform interactions on translationally invariant lattices. 相似文献
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Yoshitake Yamazaki Henk J. Hilhorst Günther Meissner 《Journal of statistical physics》1980,23(5):609-625
With the aid of the differential real-space method we derive exact renormalization group (RG) equations for the Gaussian model ind dimensions. The equations involved + 1 spatially dependent nearest-neighbor interactions. We locate a critical fixed point and obtain the exact thermal critical indexy
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= 2. A special trajectory of the full nonlinear RG transformation is found and the free energy of the corresponding initial state calculated.Supported by Deutsche Forschungsgemeinschaft through Sonderforschungsbereich 130 Ferroelektrika. 相似文献
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The decimation real-space renormalization group and spin-rescaling methods are applied to the study of phase transition of the Gaussian model on fractal lattices. It is found that the critical point K* equals b/2 ( b is the distribution constant of Gaussian model) on nonbranching Koch curves. For inhomogeneous fractal lattices, it is proposed that the b is replaced with bqi (qi is the coordination number of the site i) and satisfies a certain relation bqi/bqj = qi/qj. Under this supposition we find that the critical point of the Gaussian model on a branching Koch curve can be expressed uniquely as K* = bqi/qi. 相似文献
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对《二维六角形晶格伊辛模型的重正化群解》一文的进一步计算 总被引:1,自引:1,他引:0
针对《二维六角形晶格伊辛模型的重正化群解》一文中有关〈V〉0的计算进行了修正,给出了新的重正化群的变换、重正化群的线性化变换矩阵以及临界指数. 相似文献
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We present the numbers of dimer-monomers Md(n) on the Sierpinski gasket SGd(n) at stage n with dimension d equal to two, three and four. The upper and lower bounds for the asymptotic growth constant, defined as zSGd=limv→∞lnMd(n)/v where v is the number of vertices on SGd(n), are derived in terms of the results at a certain stage. As the difference between these bounds converges quickly to zero as the calculated stage increases, the numerical value of zSGd can be evaluated with more than a hundred significant figures accurate. From the results for d=2,3,4, we conjecture the upper and lower bounds of zSGd for general dimension. The corresponding results on the generalized Sierpinski gasket SGd,b(n) with d=2 and b=3,4 are also obtained. 相似文献