
TL;DR
This paper generalizes the Hugenholz-Boltzmann evolution to strongly interacting lattice systems and shows that stable states under this evolution satisfy the KMS-condition, discussing the reasonableness of the assumptions involved.
Contribution
It introduces a generalized evolution framework for strongly interacting lattice systems and establishes conditions under which stable states meet the KMS-condition.
Findings
Stable states under the generalized evolution satisfy the KMS-condition.
Discussion on the reasonableness of the assumptions made.
Extension of the Hugenholz-Boltzmann evolution to lattice systems.
Abstract
The Hugenholz-Boltzmann-evolution is generalized to strongly interacting systems on the lattice. Under appropriate assumptions states stable under this evolution are shown to satify the KMS-condition. How far these assumptions are reasonable is discussed.
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