On the layering transition of an SOS surface interacting with a wall. II: The Glauber dynamics

DOI10.1007/BF02102435zbMath0901.60076MaRDI QIDQ1918093

Fabio Martinelli, Filippo Cesi

Publication date: 24 November 1998

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

free boundary conditionsstatistical mechanicsGlauber dynamicsexponential convergence to equilibriumvery small positive external field

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

PHASE TRANSITION FROM THE VIEWPOINT OF RELAXATION PHENOMENA, Dynamics of \((2+1)\)-dimensional SOS surfaces above a wall: slow mixing induced by entropic repulsion, Information percolation and cutoff for the stochastic Ising model, Hamiltonians on random walk trajectories, Wetting and layering for solid-on-solid. II: Layering transitions, Gibbs states, and regularity of the free energy, On the layering transition of an SOS surface interacting with a wall. I: Equilibrium results., Some new results on the two-dimensional kinetic Ising model in the phase coexistence region.

Cites Work

• Unnamed Item
• Semi-infinite Ising model. II: The wetting and layering transitions.
• The logarithmic Sobolev inequality for discrete spin systems on a lattice
• 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
• For 2-D lattice spin systems weak mixing implies strong mixing
• On the layering transition of an SOS surface interacting with a wall. I: Equilibrium results.
• Layering transition in SOS model with external magnetic field
• Bounds on the L 2 Spectrum for Markov Chains and Markov Processes: A Generalization of Cheeger's Inequality