A correlation bound for the one-dimensional heterogeneous Ising model
Abstract
We derive a new upper bound for the correlations in a heterogeneous one-dimensional Ising model with free boundary conditions. The new upper bound quantifies the simultaneous decay of correlations due to weakness of nearest-neighbor coupling constants and the effect of external fields. The proof constitutes an application of random currents to a non-ferromagnetic Ising model.
Fields of Study & Subjects
Theoretical and Computational Physics
Stochastic processes and statistical mechanics
Markov Chains and Monte Carlo Methods
Publication details
- Journal / source
- Electronic Communications in Probability
- Volume
- 31
- Issue
- none
- Publication date
- 1 January 2026
- Language
- EN