Estimates of logarithmic Sobolev constant for finite-volume continuous spin systems.

DOI10.1007/BF02179587zbMath1081.82534OpenAlexW2024708035MaRDI QIDQ1593428

Feng-Yu Wang

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02179587

zbMATH Keywords

diffusion processspectral gapGibbs statestochastic Ising modellogarothmic Sobolev constantPeierl's contour

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) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (1)

Coupling, spectral gap and related topics. III

Cites Work

• Unnamed Item
• Unnamed Item
• Log-Sobolev inequalities for infinite one-dimensional lattice systems
• Hypercontractivity and spectral gap of symmetric diffusions with applications to the stochastic Ising models
• The logarithmic Sobolev inequality for continuous spin systems on a lattice
• The logarithmic Sobolev inequality for discrete spin systems on a lattice
• Gibbs measures and phase transitions
• Application of coupling method to the first eigenvalue on manifold
• Slow droplet-driven relaxation of stochastic Ising models in the vicinity of the phase coexistence region
• Application of coupling methods to the Neumann eigenvalue problem
• Ergodicity for infinite-dimensional diffusion processes on manifolds
• Bound on the mass gap for finite volume stochastic Ising models at low temperature
• Logarithmic Sobolev inequalities and stochastic Ising models
• Uniqueness of Gibbs state and exponential \(L^ 2\)-convergence for infinite-dimensional reflecting diffusion processes
• Dimension spectrum of Axiom A diffeomorphisms. I: The Bowen-Margulis measure

This page was built for publication: Estimates of logarithmic Sobolev constant for finite-volume continuous spin systems.