Limit Theorems for the Bipartite Potts Model
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-020-02655-4
Abstract: We consider the bipartite Potts model in which interaction strengths depend only on the groups the particles belong to. We first rigorously compute the exact value of the free energy, then put forward two scaling… read more here.
Keywords: limit theorems; potts model; bipartite potts; theorems bipartite ... See more keywords
Boundary CFT and Tensor Network Approach to Surface Critical Phenomena of the Tricritical 3-State Potts model
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-021-02728-y
Abstract: One-dimensional edges of classical systems in two dimension sometimes show surprisingly rich phase transitions and critical phenomena, especially when the bulk is at criticality. As such a model, we study the surface critical behavior of… read more here.
Keywords: potts model; state; surface critical; state potts ... See more keywords
Fluctuations of the Magnetization in the Block Potts Model
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-022-02889-4
Abstract: In this note we study the block spin mean-field Potts model, in which the spins are divided into s blocks and can take $$q\ge 2$$ q ≥ 2 different values (colors). Each block is allowed… read more here.
Keywords: block; fluctuations magnetization; potts model; magnetization ... See more keywords
Exploring the worldline formulation of the Potts model
Sign Up to like & getrecommendations! Published in 2020 at "Nuclear Physics B"
DOI: 10.1016/j.nuclphysb.2020.115008
Abstract: Abstract We revisit the issue of worldline formulations for the q-state Potts model and discuss a worldline representation in arbitrary dimensions which also allows for magnetic terms. For vanishing magnetic field we implement a Hodge… read more here.
Keywords: potts; potts model; exploring worldline; formulation potts ... See more keywords
Potts model coupled to random causal triangulations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5017125
Abstract: In this work, we study the annealed Potts model coupled to two-dimensional causal triangulations (CTs). Employing duality of graphs, we prove that in the thermodynamic limit, the Potts model coupled to causal triangulations with parameters… read more here.
Keywords: coupled random; model; causal triangulations; potts model ... See more keywords
Energy analysis of the three-vertex Potts model ground state
Sign Up to like & getrecommendations! Published in 2018 at "Low Temperature Physics"
DOI: 10.1063/1.5060966
Abstract: An energy analysis of the ground state in the triangular lattice three-state Potts model is conducted with allowance for the contribution of the nearest and next-nearest neighbors having interaction values J1 and J2. The ranges… read more here.
Keywords: state; ground state; energy analysis; potts model ... See more keywords
Phase diagram of the Potts model with the number of spin states q = 4 on a kagome lattice
Sign Up to like & getrecommendations! Published in 2021 at "Low Temperature Physics"
DOI: 10.1063/10.0004233
Abstract: The magnetic structures of the ground state, phase transitions, and the thermodynamic properties of a two-dimensional ferromagnetic Potts model with the number of spin states q = 4 on a kagome lattice are studied using the Wang-Landau… read more here.
Keywords: phase; spin states; states kagome; potts model ... See more keywords
On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab270b
Abstract: The paper concerns the $q$-state Potts model (i.e., with spin values in $\{1,\dots,q\}$) on a Cayley tree $\mathbb{T}^k$ of degree $k\geq 2$ (i.e., with $k+1$ edges emanating from each vertex) in an external (possibly random)… read more here.
Keywords: uniqueness gibbs; field; external field; model ... See more keywords
Zeros of the 3-state Potts model partition function for the square lattice revisited
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab2905
Abstract: We compute the exact partition function for the 3-state Potts model on square lattices of several sizes larger than previously accessible. Making comparison with the exactly solved Ising model we show that, for aspects of… read more here.
Keywords: model; state potts; partition function; potts model ... See more keywords
On the CFT describing the spin clusters in 2d Potts model
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ac4c3d
Abstract: We have considered clusters of like spins in the Q-Potts model, the spin Potts clusters (S clusters). Using Monte Carlo simulations, we studied these clusters on a square lattice with periodic boundary conditions for values… read more here.
Keywords: spin; spin clusters; potts model; cft ... See more keywords
Long-range quenched bond disorder in the bidimensional Potts model
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/acc72a
Abstract: We study the bidimensional q-Potts model with long-range bond correlated disorder. Similarly to Chatelain (2014 Phys. Rev. E 89 032105), we implement a disorder bimodal distribution by coupling the Potts model to auxiliary spin-variables, which… read more here.
Keywords: potts model; bidimensional potts; disorder; long range ... See more keywords