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 …
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 …
The temperature-induced phase transitions of an evolutionary game of competing Ising-and Potts-type coordination subgames are studied using the tensor renormalization group …
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 …
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 …
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 …
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 …
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 …