The Potts model with invisible states was introduced to explain discrepancies between
theoretical predictions and experimental observations of phase transitions in some systems …

This book gives survey on the collapse of metastable state, ie, dynamics of relaxation of
metastable states by thermal and/or quantum fluctuation. Phenomena in nature are …

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 …

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 …

Abstract The Monte Carlo Wang-Landau algorithm was used to study the phase transitions,
magnetic structures of the ground state, and thermodynamic properties of the two …

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 …

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 …