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Series expansion for the monomer-trimer problem. i. general formulation and application to the square lattice

par Van Craen, Jean, ;Bellemans, André
Référence The Journal of Chemical Physics, 56, 5, page (2041-2048)
Publication Publié, 1972

Article révisé par les pairs

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Résumé :

The combinatorial method of Nagle for monomer-dimer mixtures is extended to the monomer-trimer case. It turns out that the method becomes much more sophisticated : the relevant graphs involve two different types of edges and their weights are complicated functions of the natural expansion variable x of the problem (related to the trimer concentration). The method is applied to assemblies of (a) rectilinear, (b) bent, and (c) flexible trimers on the square lattice. The residual entropy of rectilinear trimers at close packing is estimated, SR/k=0.45.