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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …