Thermodynamic Limit for Finite Dimensional Classical and Quantum Disordered Systems
Disordered Systems and Neural Networks
2009-11-10 v4 Mathematical Physics
math.MP
Abstract
We provide a very simple proof for the existence of the thermodynamic limit for the quenched specific pressure for classical and quantum disordered systems on a -dimensional lattice, including spin glasses. We develop a method which relies simply on Jensen's inequality and which works for any disorder distribution with the only condition (stability) that the quenched specific pressure is bounded.
Cite
@article{arxiv.cond-mat/0401211,
title = {Thermodynamic Limit for Finite Dimensional Classical and Quantum Disordered Systems},
author = {P. Contucci and C. Giardina' and J. Pule'},
journal= {arXiv preprint arXiv:cond-mat/0401211},
year = {2009}
}
Comments
14 pages. Final version, accepted for publication on Rev. Math. Phys