Metastability of the three-state Potts model with general interactions
From MaRDI portal
Publication:6136825
DOI10.1214/23-ejp1003arXiv2208.11869MaRDI QIDQ6136825
Seonwoo Kim, Anna Chiara Gallo, Gianmarco Bet
Publication date: 17 January 2024
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.11869
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of continuous-time Markov processes on discrete state spaces (60J28) Equilibrium statistical mechanics (82Bxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hitting time asymptotics for hard-core interactions on grids
- Metastable states, quasi-stationary distributions and soft measures
- Conditioned, quasi-stationary, restricted measures and escape from metastable states
- Sharp asymptotics for stochastic dynamics with parallel updating rule
- Metastability for Kawasaki dynamics at low temperature with two types of particles
- Probabilistic cellular automata for low-temperature 2-d Ising model
- Tunneling and metastability of continuous time Markov chains
- Critical droplets and metastability for a Glauber dynamics at very low temperatures
- Critical configurations and tube of typical trajectories for the Potts and Ising models with zero external field
- Metastability for general dynamics with rare transitions: escape time and critical configurations
- Asymptotically exponential hitting times and metastability: a pathwise approach without reversibility
- Limit theorems for the empirical vector of the Curie-Weiss-Potts model
- Metastability for reversible probabilistic cellular automata with self-interaction
- On the essential features of metastability: Tunnelling time and critical configurations
- Metastable behavior of stochastic dynamics: A pathwise approach
- Behavior of droplets for a class of Glauber dynamics at very low temperature
- Limit theorems for maximum likelihood estimators in the Curie-Weiss-Potts model
- Metastability in the Potts model on the Cayley tree
- Metastability in the two-dimensional Ising model with free boundary conditions
- Solutions of the variational problem in the Curie-Weiss-Potts model
- The three dimensional polyominoes of minimal area
- Droplet growth for three-dimensional Kawasaki dynamics
- Markov chains with exponentially small transition probabilities: first exit problem from a general domain. I: The reversible case.
- Metastability and nucleation for the Blume-Capel model. Different mechanisms of transition.
- Markov chains with exponentially small transition probabilities: First exit problem from a general domain. II: The general case.
- Metastability in Glauber dynamics in the low-temperature limit: Beyond exponential asymp\-totics.
- Condensation of non-reversible zero-range processes
- Metastability and low lying spectra in reversible Markov chains
- Metastability for a stochastic dynamics with a parallel heat bath updating rule
- Shapes of growing droplets -- a model of escape from a metastable phase
- Tunneling and metastability of continuous time Markov chains. II: The nonreversible case
- Relaxation height in energy landscapes: an application to multiple metastable states
- Metastability of hard-core dynamics on bipartite graphs
- Tunneling behavior of Ising and Potts models in the low-temperature regime
- Second time scale of the metastability of reversible inclusion processes
- Effect of energy degeneracy on the transition time for a series of metastable states. Application to probabilistic cellular automata
- Metastability for the Ising model on the hexagonal lattice
- Fast mixing for the low temperature 2D Ising model through irreversible parallel dynamics
- Metastability for the Ising model on the hypercube
- Metastable Markov chains
- Metastability of reversible condensed zero range processes on a finite set
- A Dirichlet principle for non reversible Markov chains and some recurrence theorems
- Sharp asymptotics for Kawasaki dynamics on a finite box with open boundary
- Metastability for a non-reversible dynamics: the evolution of the condensate in totally asymmetric zero range processes
- Limit theorems and coexistence probabilities for the Curie-Weiss Potts model with an external field
- Condensation and metastable behavior of non-reversible inclusion processes
- Metastability and nucleation for conservative dynamics
- Complete analysis of phase transitions and ensemble equivalence for the Curie–Weiss–Potts model
- Tunneling of the hard‐core model on finite triangular lattices
- Metastability for the degenerate Potts model with negative external magnetic field under Glauber dynamics
