On the two-dimensional stochastic Ising model in the phase coexistence region near the critical point

DOI10.1007/BF02175556zbMath0937.82004MaRDI QIDQ1285247

Roberto H. Schonmann, Gianluca Guadagni, Fabio Martinelli, Filippo Cesi

Publication date: 6 June 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

relaxation timesurface tensionspectral gaplarge deviationsstochastic Ising modelphase coexistence

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Phase transitions for \(\phi^4_3\), PHASE TRANSITION FROM THE VIEWPOINT OF RELAXATION PHENOMENA, Quasi-polynomial mixing of the 2D stochastic Ising model with ``plus boundary up to criticality, Unnamed Item, On the coupling time of the heat-bath process for the Fortuin-Kasteleyn random-cluster model, Critical Ising on the square lattice mixes in polynomial time, The worm process for the Ising model is rapidly mixing, Glauber dynamics for the mean-field Potts model, Tunneling behavior of Ising and Potts models in the low-temperature regime, On the mixing time of the 2D stochastic Ising model with ``Plus boundary conditions at low temperature, Rapid mixing of Swendsen–Wang dynamics in two dimensions, Constrained variational problem with applications to the Ising model., Some new results on the two-dimensional kinetic Ising model in the phase coexistence region.

Cites Work

• Unnamed Item
• Unnamed Item
• Metastability and exponential approach to equilibrium for low-temperature stochastic Ising models
• Correlation inequalities on some partially ordered sets
• Large deviations for the 2D Ising model: A lower bound without cluster expansions
• Approach to equilibrium of Glauber dynamics in the one phase region. I: The attractive case
• Coexistence of infinite \((*)\)-clusters. II: Ising percolation in two dimensions
• For 2-D lattice spin systems weak mixing implies strong mixing
• Constrained variational problem with applications to the Ising model.
• Some new results on the two-dimensional kinetic Ising model in the phase coexistence region.
• The droplet in the tube: A case of phase transition in the canonical ensemble
• Complete analyticity for 2D Ising completed
• Dimension spectrum of Axiom A diffeomorphisms. I: The Bowen-Margulis measure
• Exponential decay of connectivities in the two-dimensional Ising model
• Polynomial-Time Approximation Algorithms for the Ising Model