The q-state Potts model on a nanostructure of hexagonal lattices with ABA stacking

2021 ◽  
pp. 413512
Author(s):  
R.H.M. Morais ◽  
J.P. Santos ◽  
F.C. Sá Barreto
Keyword(s):  
Potts Model

scholarly journals A minimum energy optimization approach for simulations of the droplet wetting modes using the cellular Potts model

RSC Advances ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 1875-1882
Author(s):  
Ronghe Xu ◽  
Xiaoli Zhao ◽  
Liqin Wang ◽  
Chuanwei Zhang ◽  
Yuze Mao ◽  
...  
Keyword(s):  
Potts Model ◽  
Minimum Energy ◽  
Energy Optimization ◽  
Optimization Approach ◽  
Cellular Potts Model

An optimization approach based on the synthesis minimum energy was proposed for determining droplet wetting modes.

scholarly journals Geometrical four-point functions in the two-dimensional critical Q-state Potts model: the interchiral conformal bootstrap

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yifei He ◽  
Jesper Lykke Jacobsen ◽  
Hubert Saleur
Keyword(s):  
Potts Model ◽  
Correlation Functions ◽  
Liouville Theory ◽  
Analytical Determination ◽  
Conformal Weight ◽  
Two Dimensional ◽  
Conformal Blocks ◽  
Conformal Bootstrap ◽  
Point Correlation

Abstract Based on the spectrum identified in our earlier work [1], we numerically solve the bootstrap to determine four-point correlation functions of the geometrical connectivities in the Q-state Potts model. Crucial in our approach is the existence of “interchiral conformal blocks”, which arise from the degeneracy of fields with conformal weight hr,1, with r ∈ ℕ*, and are related to the underlying presence of the “interchiral algebra” introduced in [2]. We also find evidence for the existence of “renormalized” recursions, replacing those that follow from the degeneracy of the field $$ {\Phi}_{12}^D $$ Φ 12 D in Liouville theory, and obtain the first few such recursions in closed form. This hints at the possibility of the full analytical determination of correlation functions in this model.

Erratum: The Potts model

1983 ◽  
Vol 55 (1) ◽  
pp. 315-315 ◽  
Author(s):  
F. Y. Wu
Keyword(s):  
Potts Model

On The Phase Structure of the Asymmetric Three-State Potts Model

1982 ◽  
Vol 21 ◽  
Author(s):  
G. v. Gehlen
Keyword(s):  
Phase Boundary ◽  
Potts Model ◽  
Phase Structure ◽  
Asymmetry Parameter ◽  
Finite Size ◽  
Critical Index ◽  
Incommensurate Phase ◽  
Finite Size Scaling ◽  
Lifshitz Point ◽  
The Asymmetry

ABSTRACTFinite-size scaling is applied to the Hamiltonian version of the asymmetric Z3-Potts model. Results for the phase boundary of the commensurate region and for the corresponding critical index ν are presented. It is argued that there is no Lifshitz point, the incommensurate phase extending down to small values of the asymmetry parameter.

Modulated Phase of a Potts Model with Competing Binary Interactions on a Cayley Tree

2009 ◽  
Vol 137 (4) ◽  
pp. 701-715 ◽  
Author(s):  
N. Ganikhodjaev ◽  
S. Temir ◽  
H. Akin
Keyword(s):  
Potts Model ◽  
Cayley Tree ◽  
Modulated Phase
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