Metastability of the three dimensional Ising model on a torus at very low temperatures
From MaRDI portal
Publication:1380301
DOI10.1214/EJP.v1-10zbMath0888.60057OpenAlexW2060902568MaRDI QIDQ1380301
Raphaël Cerf, Gérard Ben Arous
Publication date: 8 March 1998
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/119399
Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Polyominoes (05B50)
Related Items
Metastability for the Ising model on the hexagonal lattice ⋮ Critical configurations and tube of typical trajectories for the Potts and Ising models with zero external field ⋮ Metastability of Blume-Capel model with zero chemical potential and zero external field ⋮ Metastable states, quasi-stationary distributions and soft measures ⋮ Metastability from the large deviations point of view: a \(\varGamma\)-expansion of the level two large deviations rate functional of non-reversible finite-state Markov chains ⋮ Kawasaki dynamics with two types of particles: critical droplets ⋮ Energy landscape and metastability of stochastic Ising and Potts models on three-dimensional lattices without external fields ⋮ The loop erased exit path and the metastability of a biased vote process ⋮ Nucleation and growth for the Ising model in \(d\) dimensions at very low temperatures ⋮ Maximal fluctuations around the Wulff shape for edge-isoperimetric sets in \({\mathbb{Z}}^d \): a sharp scaling law ⋮ Metastability of the Ising model on random regular graphs at zero temperature ⋮ Metastability of hard-core dynamics on bipartite graphs ⋮ Homogeneous nucleation for Glauber and Kawasaki dynamics in large volumes at low temperatures ⋮ Metastability under stochastic dynamics ⋮ Tunneling behavior of Ising and Potts models in the low-temperature regime ⋮ Metastability of reversible finite state Markov processes ⋮ Sharp asymptotics for Kawasaki dynamics on a finite box with open boundary ⋮ An introduction to metastability through random walks ⋮ Effect of energy degeneracy on the transition time for a series of metastable states. Application to probabilistic cellular automata ⋮ Metastability in a lattice gas with strong anisotropic interactions under Kawasaki dynamics ⋮ Anisotropy effects in nucleation for conservative dynamics ⋮ Metastability of Ising and Potts models without external fields in large volumes at low temperatures ⋮ The exit path of a Markov chain with rare transitions ⋮ Energy landscape and metastability of Curie-Weiss-Potts model
