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Entropy functional theory for inhomogeneous fluids
Abstract
We present an exact variational scheme for the physics of inhomogeneous classical fluids in thermal equilibrium. A joint metadensity minimization principle is proven for the one-body density and the global interparticle distance distribution. The theory bypasses the inhomogeneous two-body density and thus remains computationally simple. A universal excess entropy functional accounts for all many-body correlations in arbitrary pairwise interacting systems. The framework is relevant for neural functional machine learning, for soft matter design, and for predicting hyperobservables, structural correlation functions, and first-principles mechanisms of entropy-energy competition.
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BibTeX
@misc{schmidt2026entropy,
title = {{Entropy functional theory for inhomogeneous fluids}},
author = {Matthias Schmidt},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.28240},
eprint = {2606.28240},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.28240},
}
RIS
TY - UNPB
TI - Entropy functional theory for inhomogeneous fluids
AU - Matthias Schmidt
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2606.28240
UR - https://arxiv.org/abs/2606.28240
AB - We present an exact variational scheme for the physics of inhomogeneous classical fluids in thermal equilibrium. A joint metadensity minimization principle is proven for the one-body density and the global interparticle distance distribution. The theory bypasses the inhomogeneous two-body density and thus remains computationally simple. A universal excess entropy functional accounts for all many-body correlations in arbitrary pairwise interacting systems. The framework is relevant for neural functional machine learning, for soft matter design, and for predicting hyperobservables, structural correlation functions, and first-principles mechanisms of entropy-energy competition.
ER -