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Thermodynamic Limit for Finite Dimensional Classical and Quantum Disordered Systems

P. Contucci·C. Giardina'·J. Pule'
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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 $d$-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.

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P. Contucci, C. Giardina', J. Pule'. 2004-04-20. Thermodynamic Limit for Finite Dimensional Classical and Quantum Disordered Systems. https://doi.org/10.1142/s0129055x04002060

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