Finite-N virial statistical models are exactly solvable via C-integrable hydrodynamic PDEs; phase transitions emerge as shock waves in the N to infinity limit and are used to construct a QCD phase diagram with smeared critical points.
Calogero, Why are certain nonlinear PDEs both widely applicable and integrable? , in What Is Integrability?, (Berlin), pp
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Phase transitions and finite-size effects in integrable virial statistical models
Finite-N virial statistical models are exactly solvable via C-integrable hydrodynamic PDEs; phase transitions emerge as shock waves in the N to infinity limit and are used to construct a QCD phase diagram with smeared critical points.