Thermodynamic Limit for Mean-Field Spin Models

A. Bianchi, P. Contucci, C. Giardina'

If the Boltzmann-Gibbs state ${\omega }_N$ of a mean-field $N$-particle system with Hamiltonian $H_N$ verifies the condition $${\omega }_N(H_N)\ge {\omega }_N(H_{N_1}+H_{N_2})$$ for every decomposition…