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Cited by 656

The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.

The relative entropy is fundamental to multiscale and inverse thermodynamic problems

Shell, M. Scott·2008·The Journal of Chemical Physics

Abstract

We show that the relative entropy, Srel≡∑pT ln(pT/pM), provides a fundamental and unifying framework for multiscale analysis and for inverse molecular-thermodynamic problems involving optimization of a model system (M) to reproduce the properties of a target one (T). We demonstrate that the relative entropy serves as a generating function for principles in variational mean-field theory and uniqueness and gives intuitive results for simple case scenarios in model development. Moreover, we suggest that the relative entropy provides a rigorous framework for multiscale simulations and offers new numerical techniques for linking models at different scales. Finally, we show that Srel carries physical significance by using it to quantify the deviations of a three-site model of water from simple liquids, finding that the relative entropy, a thermodynamic concept, even predicts water’s kinetic anomalies.

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Metadata

Authors
Shell, M. S.
Venue
The Journal of Chemical Physics
Published
2008-10-10
Volume
129
Issue
14
Pages
144108-144108
ISSN
  • 0021-9606 (ISSN-L)
  • 1089-7690
OpenAlex
W2060174126
Cited by
656
References
17
FWCI
6.09
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: The relative entropy is fundamental to multiscale and inverse thermodynamic problems. https://app.cochat.ai/papers/10.1063/1.2992060
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Shell, M. S. (2008). The relative entropy is fundamental to multiscale and inverse thermodynamic problems. The Journal of Chemical Physics. https://doi.org/10.1063/1.2992060

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.