Stability under a generalized Boltzmann-Hugenholz evolution is claimed to force KMS thermal equilibrium for interacting lattice systems, but the load-bearing step is asserted, not derived.
Pulvirenti: Boltzmann equation (Classical and Quantum) Encyclopedia of mathematical Physics 306-312 (2006)
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Global dynamical stability for KMS-states
Stability under a generalized Boltzmann-Hugenholz evolution is claimed to force KMS thermal equilibrium for interacting lattice systems, but the load-bearing step is asserted, not derived.