Potts model with invisible states: a review

M Krasnytska, P Sarkanych, B Berche… - The European Physical …, 2023 - Springer
The Potts model with invisible states was introduced to explain discrepancies between
theoretical predictions and experimental observations of phase transitions in some systems …

A tensor renormalization group analysis of the Blume–Capel model inspired by game theory

B Király - Physica A: Statistical Mechanics and its Applications, 2023 - Elsevier
After showing that it can be parametrized as the elementary coordination game of
evolutionary game theory, this paper analyzes the Blume–Capel model using the tensor …

Entropy-induced phase transitions in a hidden Potts model

CH Kim, DS Lee, B Kahng - Physical Review E, 2024 - APS
A hidden state in which a spin does not interact with any other spin contributes to the entropy
of an interacting spin system. We explore the q-state Potts model with extra r hidden states …

[HTML][HTML] A tensor renormalization group analysis of an evolutionary game of competing Ising and Potts subgames

B Király - Physics Letters A, 2024 - Elsevier
The temperature-induced phase transitions of an evolutionary game of competing Ising-and
Potts-type coordination subgames are studied using the tensor renormalization group …

[HTML][HTML] Exact solution of a classical short-range spin model with a phase transition in one dimension: the Potts model with invisible states

P Sarkanych, Y Holovatch, R Kenna - Physics Letters A, 2017 - Elsevier
We present the exact solution of the 1D classical short-range Potts model with invisible
states. Besides the q states of the ordinary Potts model, this possesses r additional states …

Classical phase transitions in a one-dimensional short-range spin model

P Sarkanych, Y Holovatch… - Journal of Physics A …, 2018 - iopscience.iop.org
Ising's solution of a classical spin model famously demonstrated the absence of a positive-
temperature phase transition in one-dimensional equilibrium systems with short-range …

[PDF][PDF] АНТИФЕРРОМАГНИТНАЯ МОДЕЛЬ ПОТТСА НА ОБЪЕМНО–ЦЕНТРИРОВАННОЙ КУБИЧЕСКОЙ РЕШЕТКЕ

ДР Курбанова, МК Рамазанов, МА Магомедов… - 2023 - jetp.ras.ru
При изучении характера фазовых переходов модели Поттса с различным числом
состояний спина q в большинстве случаев рассматривались системы с …

First-order phase transition with breaking of lattice rotation symmetry in continuous-spin model on triangular lattice

R Tamura, N Kawashima - Journal of the Physical Society of Japan, 2011 - journals.jps.jp
Using a Monte Carlo method, we study the finite-temperature phase transition in the two-
dimensional classical Heisenberg model on a triangular lattice with or without easy-plane …

Phase transition of generalized ferromagnetic Potts model-effect of invisible states

S Tanaka, R Tamura… - Journal of Physics …, 2011 - iopscience.iop.org
We investigate the nature of the phase transition of the ferromagnetic Potts model with
invisible states. The ferromagnetic Potts model with invisible states can be regarded as a …

Potts model with invisible states on a scale-free network

P Sarkanych, M Krasnytska - arXiv preprint arXiv:2211.14048, 2022 - arxiv.org
Different models are proposed to understand magnetic phase transitions through the prism
of competition between the energy and the entropy. One of such models is a $ q $-state …