Graph weights arising from statistical mechanics

zbMath1447.05097MaRDI QIDQ2199798

Amel Kaouche

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/s79kaouche.html

zbMATH Keywords

Ree-Hoover weightsecond Mayer weight

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Structural characterization of families of graphs (05C75) Connectivity (05C40) Signed and weighted graphs (05C22)

Cites Work

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• Negative virial coefficients and the dominance of loose packed diagrams for \(D\)-dimensional hard spheres
• Mayer weights and Fourier transforms
• Mayer and Ree-Hoover weights of infinite families of 2-connected graphs
• Enumerative problems inspired by Mayer's theory of cluster integrals
• Ninth and tenth order virial coefficients for hard spheres in \(D\) dimensions
• Graph weights arising from Mayer's theory of cluster integrals
• Solution to a combinatorial puzzle arising from Mayer's theory of cluster integrals

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