PHASE TRANSITION FROM THE VIEWPOINT OF RELAXATION PHENOMENA
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Publication:5315851
DOI10.1142/S0129055X03001746zbMath1071.82537MaRDI QIDQ5315851
Publication date: 9 September 2005
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
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Cites Work
- Log-Sobolev inequalities for infinite one-dimensional lattice systems
- On the critical behavior of the magnetization in high-dimensional Ising models
- The log-Sobolev inequality for weakly coupled lattice fields
- Compactness and the maximal Gibbs state for random Gibbs fields on a lattice
- Dobrushin uniqueness theorem and logarithmic Sobolev inequalities
- The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition
- The logarithmic Sobolev inequality for discrete spin systems on a lattice
- Gibbs measures and phase transitions
- Finite-volume Glauber dynamics in a small magnetic field
- On the two-dimensional stochastic Ising model in the phase coexistence region near the critical point
- The log-Sobolev inequality for unbounded spin systems
- Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
- Approach to equilibrium of Glauber dynamics in the one phase region. I: The attractive case
- Approach to equilibrium of Glauber dynamics in the one phase region. II: The general case
- Slow droplet-driven relaxation of stochastic Ising models in the vicinity of the phase coexistence region
- For 2-D lattice spin systems weak mixing implies strong mixing
- Exponential relaxation of Glauber dynamics with some special boundary conditions
- Some new results on the kinetic Ising model in a pure phase
- Application of log-Sobolev inequality to the stochastic dynamics of unbounded spin systems on the lattice
- On the layering transition of an SOS surface interacting with a wall. I: Equilibrium results.
- Bound on the mass gap for finite volume stochastic Ising models at low temperature
- Logarithmic Sobolev inequalities and stochastic Ising models
- Completely analytical interactions: Constructive description
- Extension of Thomas' result and upper bound on the spectral gap of \(d\) \((\geq 3)\)-dimensional stochastic Ising models.
- Complete analyticity for 2D Ising completed
- Layering transition in SOS model with external magnetic field
- The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice
- On the layering transition of an SOS surface interacting with a wall. II: The Glauber dynamics
- Logarithmic Sobolev Inequalities
- L 2 theory for the stochastic Ising model
- Spectral gaps for spin systems: Some non-convex phase examples
- The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice
- The spectral gap of the 2-D stochastic Ising model with nearly single-spin boundary conditions
- The spectral gap of the 2-D stochastic Ising model with mixed boundary conditions
- On decay of correlations for unbounded spin systems with arbitrary boundary conditions
