en
Preprint
English

Weak Mixing and Analyticity of the Pressure in the Ising Model

ContributorsOtt, Sébastien
Publication date2019
Abstract

We prove that the pressure (or free energy) of the finite range ferromagnetic Ising model on Z^d is analytic as a function of both the inverse temperature b and the magnetic field h whenever the model has the exponential weak mixing property. We also prove the exponential weak mixing property whenever h>=0. Together with known results on the regime h=0,b

Keywords
  • Ising Model
  • Analyticity
  • Free Energy
  • Mixing
  • Glauber Dynamic
  • Cluster Expansion
Classification
  • arxiv : math.PR
Citation (ISO format)
OTT, Sébastien. Weak Mixing and Analyticity of the Pressure in the Ising Model. 2019.
Main files (1)
Preprint
accessLevelPublic
Identifiers
311views
100downloads

Technical informations

Creation07/28/2019 9:46:00 PM
First validation07/28/2019 9:46:00 PM
Update time03/15/2023 5:48:50 PM
Status update03/15/2023 5:48:49 PM
Last indexation01/17/2024 5:56:23 AM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack