2004/01/31 by P. Contucci, PIERLUIGI CONTUCCI, C. Giardina' +3 · 1 citation
Mathematics · Physics and Astronomy · #Classical limit #Limit (mathematics) #Quantum #Quantum system #Simple (philosophy) #Spectral Theory in Mathematical Physics #Spin (aerodynamics) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamic beta #Thermodynamic limit #cond-mat.dis-nn #math-ph #math.MP
paper · pdf · doi:10.1142/s0129055x04002060
14 pages. Final version, accepted for publication on Rev. Math. Phys
arxiv created 2004/04/20 · openalex publication_date 2004/06/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.