The Potts Fully Frustrated model: Thermodynamics, percolation and dynamics in 2 dimensions

Abstract

We consider a Potts model diluted by fully frustrated Ising spins. The model corresponds to a fully frustrated Potts model with variables having an integer absolute value and a sign. This model presents precursor phenomena of a glass transition in the high-temperature region. We show that the onset of these phenomena can be related to a thermodynamic transition. Furthermore this transition can be mapped onto a percolation transition. We numerically study the phase diagram in 2 dimensions (2D) for this model with frustration and {\em without} disorder and we compare it to the phase diagram of $i)$ the model with frustration {\em and} disorder and of $ii)$ the ferromagnetic model. Introducing a parameter that connects the three models, we generalize the exact expression of the ferromagnetic Potts transition temperature in 2D to the other cases. Finally, we estimate the dynamic critical exponents related to the Potts order parameter and to the energy.

10 pages, 10 figures, new results

References in corpus (5)

• Phase transitions in the Potts spin glass model
• Percolation transition and the onset of non exponential relaxation in fully frustrated models
• Precursor phenomena in frustrated systems
• Fully Frustrated Ising System on a 3D Simple Cubic Lattice: Revisited
• Rotational relaxation in Brownian rotors with frustrated interactions on a square lattice

Cited by in corpus (4)

• Finite-size scaling investigation of the liquid-liquid critical point in ST2 water and its stability with respect to crystallization
• Dynamically Slow Processes in Supercooled Water Confined Between Hydrophobic Plates
• Hydrogen bond correlated percolation in a supercooled water monolayer as a hallmark of the critical region
• Effect of hydrogen bonds on protein stability