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Chiu H., Koike D.A. — Transformation and Topological Reduction of Cluster Expansions Using m-Bonds
Chiu H., Koike D.A. — Transformation and Topological Reduction of  Cluster Expansions Using m-Bonds



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Название: Transformation and Topological Reduction of Cluster Expansions Using m-Bonds

Авторы: Chiu H., Koike D.A.

Аннотация:

Journal of Statistical Physics, Vol. 78, Nos. 3/4, 1995. p. 877-892.
We introduce the notion of an "m-bond" and show how it may be used to manipulate the cluster expansions that describe the equilibrium properties of classical fluids. An m-bond has a constant value of -1, and its presence affects the sign and symmetry number of a graph. We further define an "m-product," which is formed by summing all graphs obtained by adding m-bonds to join field points in the (usual) product graph. It is shown that the logarithm of a sum of graphs can be written in terms of their m-products. The formalism is used to demonstrate a few well-known results concerning cluster expansions. Also, a generalization of the m-product is introduced, and with it a theorem is presented that relates graphs composed off-fonds to those that contain both f- and (f + 1)- bonds. Such "frustrated" graphs are useful in understanding approximations such as the Percus-Yevick formula, and also in performing numerical calculations.


Язык: en

Рубрика: Физика/

Тип: Статья

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 1995

Количество страниц: 16

Добавлена в каталог: 18.09.2013

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