We consider thermodynamic and dynamic phase transitions in plaquette spin models of
glasses. The thermodynamic transitions involve coupled (annealed) replicas of the model …

A key open question in the glass transition field is whether a finite temperature
thermodynamic transition to the glass state exists or not. Recent simulations of coupled …

We investigate the two-dimensional q= 3 and 4 Potts models with a variable interaction
range by means of Monte Carlo simulations. We locate the phase transitions for several …

We study the role of fluctuations on the thermodynamic glassy properties of plaquette spin
models, more specifically on the transition involving an overlap order parameter in the …

In this work we study an unusual phase transition of the Baxter–Wu model in the presence of
an external magnetic field. The model is pure Baxter–Wu, which means that only three-spin …

The loop model is an important model of statistical mechanics and has been extensively
studied in two-dimensional lattices. However, it is still difficult to simulate the loop model …

We study a self-dual generalization of the Baxter–Wu model, employing results obtained by
transfer matrix calculations of the magnetic scaling dimension and the free energy. While the …

We propose a site random-cluster model by introducing an additional cluster weight in the
partition function of the traditional site percolation. To simulate the model on a square lattice …

In this work we examine the critical finite-size scaling behavior of the energy probability
distribution function and its corresponding Binder cumulant at critical point. Based on the …

A cluster weight Ising model is proposed by introducing an additional cluster weight in the
partition function of the traditional Ising model. It is equivalent to the O ($ n $) loop model or …