Uniform LSI for the canonical ensemble on the 1D-lattice with strong, finite-range interaction
DOI10.1051/ps/2020001zbMath1453.82012arXiv1807.04333OpenAlexW3010513929MaRDI QIDQ5135948
Publication date: 24 November 2020
Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.04333
logarithmic Sobolev inequalitycanonical ensemblePoincaré inequalitymixing conditionone-dimensional latticestrong interaction
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equivalence of a mixing condition and the LSI in spin systems with infinite range interaction
- Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential
- LSI for Kawasaki dynamics with weak interaction
- Decay of correlations in 1D lattice systems of continuous spins and long-range interaction
- A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit
- A new criterion for the logarithmic Sobolev inequality and two applications
- The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
- Nonlinear diffusion limit for a system with nearest neighbor interactions
- Best constants in Young's inequality, its converse, and its generalization to more than three functions
- Spectral gap and logarithmic Sobolev inequality for Kawasaki and Glauber dynamics
- The logarithmic Sobolev constant of Kawasaki dynamics under a mixing condition revisited
- Strict convexity of the free energy of the canonical ensemble under decay of correlations
- Logarithmic Sobolev inequalities and stochastic Ising models
- Spectral gap and logarithmic Sobolev inequality for unbounded conservative spin systems
- The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice
- Logarithmic Sobolev inequality for lattice gases mixing conditions
- Existence of a phase-transition in a one-dimensional Ising ferromagnet
- Relative entropy and hydrodynamics of Ginzburg-Landau models
- Decay of correlations and uniqueness of the Infinite-Volume Gibbs measure of the Canonical ensemble of 1d-lattice systems
- The approach of Otto-Reznikoff revisited
- Uniform Poincaré inequalities for unbounded conservative spin systems: the non-interacting case.
- Geometry of contours and Peierls estimates in d=1 Ising models with long range interactions
- Logarithmic Sobolev Inequalities
- Analysis and Geometry of Markov Diffusion Operators
- PHASE TRANSITION FROM THE VIEWPOINT OF RELAXATION PHENOMENA
- The two-scale approach to hydrodynamic limits for non-reversible dynamics
- The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice
This page was built for publication: Uniform LSI for the canonical ensemble on the 1D-lattice with strong, finite-range interaction