Overlap and activity glass transitions in plaquette spin models with hierarchical dynamics
RM Turner, RL Jack, JP Garrahan - Physical Review E, 2015 - APS
We consider thermodynamic and dynamic phase transitions in plaquette spin models of
glasses. The thermodynamic transitions involve coupled (annealed) replicas of the model …
glasses. The thermodynamic transitions involve coupled (annealed) replicas of the model …
Transition in coupled replicas may not imply a finite-temperature ideal glass transition in glass-forming systems
JP Garrahan - Physical Review E, 2014 - APS
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 …
thermodynamic transition to the glass state exists or not. Recent simulations of coupled …
Equivalent-neighbor Potts models in two dimensions
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 …
range by means of Monte Carlo simulations. We locate the phase transitions for several …
Role of fluctuations in the phase transitions of coupled plaquette spin models of glasses
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 …
models, more specifically on the transition involving an overlap order parameter in the …
Baxter–Wu model in the presence of an external magnetic field
IN Velonakis, SS Martinos - Physica A: Statistical Mechanics and its …, 2013 - Elsevier
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 …
an external magnetic field. The model is pure Baxter–Wu, which means that only three-spin …
Phase transitions in a three-dimensional Ising model with cluster weight studied by Monte Carlo simulations
Z Wang, L Feng, W Zhang, C Ding - Physical Review E, 2021 - APS
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 …
studied in two-dimensional lattices. However, it is still difficult to simulate the loop model …
Scaling in the vicinity of the four-state Potts fixed point
HWJ Blöte, W Guo, MP Nightingale - Journal of Physics A …, 2017 - iopscience.iop.org
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 …
transfer matrix calculations of the magnetic scaling dimension and the free energy. While the …
Percolation of the site random-cluster model by Monte Carlo method
S Wang, W Zhang, C Ding - Physical Review E, 2015 - APS
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 …
partition function of the traditional site percolation. To simulate the model on a square lattice …
Critical energy distribution function of the Baxter–Wu model
IN Velonakis - Physica A: Statistical Mechanics and its Applications, 2014 - Elsevier
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 …
distribution function and its corresponding Binder cumulant at critical point. Based on the …
Phase transitions in 3D Ising model with cluster weight by Monte Carlo method
Z Wang, L Feng, W Zhang, C Ding - arXiv preprint arXiv:2107.10464, 2021 - arxiv.org
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 $) loop model or …
partition function of the traditional Ising model. It is equivalent to the O ($ n $) loop model or …