Ising model with Curie-Weiss perturbation

DOI10.1007/s10955-022-02935-1zbMath1489.82007arXiv2111.05146OpenAlexW3214669795MaRDI QIDQ2139717

Federico Camia, Charles M. Newman, Jian-Ping Jiang

Publication date: 19 May 2022

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

Full work available at URL: https://arxiv.org/abs/2111.05146

zbMATH Keywords

periodic boundary conditionsIsing modelhigh dimensionsanalytic densityCurie-Weiss interactionpure imaginary zeros

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40)

Related Items (3)

Thermodynamic limit of the first Lee‐Yang zero ⋮ Monotonicity of Ursell functions in the Ising model ⋮ Motion of Lee-Yang zeros

Cites Work

• Unnamed Item
• Unnamed Item
• On the analytic continuation of functions which map the upper half plane into itself
• Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
• Normal fluctuations and the FKG inequalities
• Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models
• The effect of free boundary conditions on the Ising model in high dimensions
• Weak mixing and analyticity of the pressure in the Ising model
• Limiting measure of Lee-Yang zeros for the Cayley tree
• Lee-Yang property and Gaussian multiplicative chaos
• Location of zeros for the partition function of the Ising model on bounded degree graphs
• Fourier Transforms with Only Real Zeros
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Probability
• Statistical Mechanics of Lattice Systems
• The Random-Cluster Model
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model
• Planar Ising magnetization field. II: Properties of the critical and near-critical scaling limits

This page was built for publication: Ising model with Curie-Weiss perturbation