The Thermodynamic Limit in Mean Field Spin Glass Models

@article{Guerra2002TheTL,
  title={The Thermodynamic Limit in Mean Field Spin Glass Models},
  author={Francesco Guerra and Fabio Lucio Toninelli},
  journal={Communications in Mathematical Physics},
  year={2002},
  volume={230},
  pages={71-79}
}
Abstract: We present a simple strategy in order to show the existence and uniqueness of the infinite volume limit of thermodynamic quantities, for a large class of mean field disordered models, as for example the Sherrington-Kirkpatrick model, and the Derrida p-spin model. The main argument is based on a smooth interpolation between a large system, made of N spin sites, and two similar but independent subsystems, made of N1 and N2 sites, respectively, with N1+N2=N. The quenched average of the… 
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