我们以经典的平衡态 Ising model 为例(Ising model 的基本介绍见:伊辛模型 | 集智百科),块粗粒化( block coarse-graining)的操作其实可以近似等价于调控系统的耦合系数(也可以理解成温度,耦合系数和温度有直接的关系)。所以我们会有那张经典的动态 Ising 重整化的图像(如图1所示)。而可以这么做的前提是,不同尺度...
renormalization group transformationstriangular latticestatic caseoptimal transformation matrixmagnetic eigenvalueWe employ high-temperature series to investigate a two-parameter class of renormalization group transformations for the two-dimensional Ising model on the triangular lattice. For the static case we ...
Santa Cruz, California An excellent series of lectures on the renormalization group the- ory for critical phenomena have been given at this school by Professor Wegner and I will assume in my discussion that the basic ideas of this theory are known to you. I would like to discuss some ...
45 Thomas Krajewski - A twisted version of Kitaev’s quantum double model 47:12 Wolfgang Wildgen - René Thom's archetypal morphologies of human language and his 1:01:58 Vasily Sazonov - New Initial Approximation in Loop Vertex Expansion 39:22 Cédric Villani - Of triangles, gases, prices ...
We developed extensive renormalization techniques for the 1D and 2D Ising model to provide a baseline for comparison. For the 1D Ising model, we successfully used Adam optimization on a correlation length loss function to learn the group flow, yielding results consistent with the analytical model ...
Theoretical or Mathematical/ Ising model percolation phase diagrams renormalisation/ two-dimensional bond dilution low dilution two-dimensional site dilution mean-field renormalization group method reaction field diluted Ising systems three-dimensional site dilution intermediate dilution phase diagrams large diluti...
1.A critical phenomenon simulation of phase transition of the 2DIsing modelby cellular automaton;二维伊辛模型相变临界现象的元胞自动机模拟 2.Quality of magnetic moment of bilayer honeycombIsing model;双层蜂窝型伊辛模型磁矩的性质 3.Revision on solution of the renormalization group forIsing modelwith wei...
The results recently obtained by van Enter, Fernandez, and Sokal on non-Gibbsianness of the measure v = T b μβ, h arising from the application of a single decimation transformation T b , with spacing b , to the Gibbs measure μβ, h , of the Ising model, for suitably chosen large...
The mixed spin Ising model (spins σ=1/2 and S =1) on d -dimensional hypercubic lattices with nearest-neighbour exchange interactions is studied via a renormalization group transformation in position space. The phase diagrams in ( L, K ) space, i.e. in dependence of the bilinear ( K )...
R. Krcmar, A. Gendiar, K. Ueda, and T. Nishino, "Ising model on a hyperbolic lattice studied by the corner transfer matrix renormalization group method", Journal of Physics A: Mathematical and Theoretical 41, 125001 (2008).R Krcmar, A Gendiar, K Ueda, and T Nishino. Ising model on ...