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Douglas Poland — Explicit relations for the radial distribution functions for one-dimensional lattice (arbitrary spacing) fluids and solutions
Douglas Poland — Explicit relations for the radial distribution functions for one-dimensional lattice (arbitrary spacing) fluids and solutions

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Название: Explicit relations for the radial distribution functions for one-dimensional lattice (arbitrary spacing) fluids and solutions

Автор: Douglas Poland

Аннотация:

It is pointed out that the size of the matrix required to formulate the grand partition function for a one-dimensional lattice fluid for a fixed and finite range of the interatomic potential varies linearly with the density of lattice points used and hence is much smaller and more manageable than the expected size (which varies exponentially with the same quantity) and thus allows very fine grids to be examined. Using the matrix treatment of the grand partition function, it is shown that the radial distribution function for a one-dimensional fluid or solution can be formulated as an explicit matrix product which is simply performed by computer. The resulting distribution functions (which can be extrapolated to the continuum by varying the lattice spacing) are useful as starting solutions for the iterative solution of integral equations for three-dimensional fluids.


Язык: en

Рубрика: Физика/

Тип: Статья

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 1972

Количество страниц: 13

Добавлена в каталог: 25.03.2012

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