Metastability in the Potts model: exact results in the large q limit
arXiv:2003.03126 · doi:10.1088/1742-5468/ab8556
Abstract
We study the metastable equilibrium properties of the Potts model with heat-bath transition rates using a novel expansion. The method is especially powerful for large number of state spin variables and it is notably accurate in a rather wide range of temperatures around the phase transition.
arXiv comment29 pages, 8 figures, typos corrected, computations expressed in a correct form, results unchanged
References in corpus (23)
- Theoretical perspective on the glass transition and amorphous materials
- Detecting fuzzy community structures in complex networks with a Potts model
- Transfer Matrices and Partition-Function Zeros for Antiferromagnetic Potts Models I. General Theory and Square-Lattice Chromatic Polynomial
- Renormalisation group calculation of correlation functions for the 2D random bond Ising and Potts models
- Detecting signals of weakly first-order phase transitions in two-dimensional Potts models
- Applications of neural networks to the studies of phase transitions of two-dimensional Potts models
- Chromatic Polynomials, Potts Models and All That
- Curvature-driven coarsening in the two dimensional Potts model
- Non-equilibrium Characterization of Spinodal Points using Short Time Dynamics
- q-State Potts model metastability study using optimized GPU-based Monte Carlo algorithms
- RENORMALIZATION GROUP SOLUTION FOR THE TWO-DIMENSIONAL RANDOM BOND POTTS MODEL WITH BROKEN REPLICA SYMMETRY
- Long term ordering kinetics of the two dimensional q-state Potts model
- Geometrical properties of Potts model during the coarsening regime
- Condensation and Metastability in the 2D Potts Model
- Zero-Temperature Coarsening in the 2d Potts Model
- Topology Controlled Potts Coarsening
- Phase separation of the Potts model in que square lattice
- Global disorder transition in the community structure of large-q Potts systems
- Anomalous metastability in a temperature-driven transition
- Nonequilibrium critical relaxations of the order parameter and energy in the two-dimensional ferromagnetic Potts model
- Ordering dynamics in the presence of multiple phases
- Multinucleation in the first-order phase transition of the 2d Potts model
- Complex phase-ordering of the one-dimensional Heisenberg model with conserved order parameter