A mesoscopic coarse-graining framework is used to construct a perturbation expansion for the free energy that recovers the van der Waals equation at first order and structure-factor results at second order while adding mutual-information terms for non-extensivity.
Buchert, On average properties of inhomogeneous fluids in general relativity: dust cosmologies,Gen
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Perturbation Theory of the Free Energy via the Mesoscopic Combined Partition Function
A mesoscopic coarse-graining framework is used to construct a perturbation expansion for the free energy that recovers the van der Waals equation at first order and structure-factor results at second order while adding mutual-information terms for non-extensivity.