Potts model of magnetism

FY Wu - Journal of Applied Physics, 1984 - pubs.aip.org
The Potts model is a generalization of the Ising model of magnetism to more‐than‐two
components. First considered by Potts in 1952, the problem has aroused considerable …

Partition function zeros of the Q-state Potts model on the simple-cubic lattice

SY Kim - Nuclear Physics B, 2002 - Elsevier
The Q-state Potts model on the simple-cubic lattice is studied using the zeros of the exact
partition function on a finite lattice. The critical behavior of the model in the ferromagnetic …

The critical temperature of two-dimensional and three-dimensional Ising models

B Liu, M Gitterman - American Journal of Physics, 2003 - pubs.aip.org
The critical temperatures of the Ising model can be obtained by considering the elementary
cells of the corresponding lattice, namely the square lattice in two dimensions and the cube …

Partial order in Potts models on the generalized decorated square lattice

MP Qin, J Chen, QN Chen, ZY Xie, X Kong… - Chinese Physics …, 2013 - iopscience.iop.org
We explore the Potts model on the generalized decorated square lattice, with both nearest (J
1) and next-nearest (J 2) neighbor interactions. Using the tensor renormalization-group …

On the percolation threshold for a d-dimensional simple hypercubic lattice

DS Gaunt, R Brak - Journal of Physics A: Mathematical and …, 1984 - iopscience.iop.org
The authors use 1/sigma-expressions (sigma= 2d-1) to investigate systematically a number
of conjectures and approximations for the bond and site percolation thresholds of a d …

[PDF][PDF] 一个镶嵌稀释双键Potts 模型的严格解

杨展如, 伍法岳 - 物理学报, 1985 - wulixb.iphy.ac.cn
一个镶嵌稀释双键Potts 模型的严格解 Page 1 第34卷第4期物理学报Vol.34,No.4 1935年4月
ACTA,PHYSICA,SIN摄CA Apr.,1985 一个镶嵌稀释双键Potts 模型的严格解 杨展如 (北京师范 …

On the location of the critical point of the q-state Potts models on the decorated hypercubic lattice

D Hajdukovic - Journal of Physics A: Mathematical and General, 1983 - iopscience.iop.org
On the location of the critical point of the q-state Potts models on the decorated hypercubic
lattice Page 1 Journal of Physics A: Mathematical and General COMMENT On the location of …

Effective mean-field theory based on cumulant expansion in treating the transition of the Potts model on hypercubic lattice

P Li, Y Song - Physical Review B, 2001 - APS
An effective mean-field theory based on cumulant expansion is expanded to deal with the
first-order transition of the Potts model on general d-dimensional hypercubic lattice in this …

About the critical condition of the q-state Potts model on the anisotropic hypercubic lattice

D Hajdukovic, RL Scepanovic - Journal of Physics A …, 1986 - iopscience.iop.org
A critical condition is obtained for the ferromagnetic model on the hypercubic lattice in d
dimensions with different Potts interactions along the different lattice axes. It is done by …

Bayesian computational methods for spatial analysis of images

MT Moores - Bulletin of the Australian Mathematical Society, 2016 - cambridge.org
This thesis introduces a novel representation for prior information in a spatial model and
develops scalable algorithms for fitting this model to large imaging datasets. These methods …