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24 April 2024
 
  » arxiv » cond-mat/0401211

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Thermodynamic Limit for Finite Dimensional Classical and Quantum Disordered Systems
P. Contucci ; C. Giardina’ ; J. Pule’ ;
Date 13 Dec 2003
Subject Disordered Systems and Neural Networks; Mathematical Physics | cond-mat.dis-nn math-ph math.MP
AbstractWe 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 $d$-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.
Source arXiv, cond-mat/0401211
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