Yukawa fluids: a new solution of the one component case
In recent work a solution of the Ornstein-Zernike equation for a general Yukawa closure for a single component fluid was found. Because of the complexity of the equations a simplifying assumption was made, namely that the main scaling matrix Γ had to be diagonal. While in principle this is mathe...
Збережено в:
| Дата: | 2003 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2003
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120754 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Yukawa fluids: a new solution of the one component case / L. Blum, J.A. Hernando // Condensed Matter Physics. — 2003. — Т. 6, № 3(35). — С. 447-458. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | In recent work a solution of the Ornstein-Zernike equation for a general
Yukawa closure for a single component fluid was found. Because of the
complexity of the equations a simplifying assumption was made, namely
that the main scaling matrix Γ had to be diagonal. While in principle this
is mathematically correct, it is not physical because it will violate symmetry
conditions when different Yukawas are assigned to different components.
In this work we show that by using the symmetry conditions the off diagonal
elements of Γ can be computed explicitly for the case of two Yukawas
solving a quadratic equation: There are two branches of the solution of this
equation, and the physical one has the correct behavior at zero density.
The non-physical branch corresponds to the solution of the diagonal approximation.
Although the solution is different from the diagonal case, the
excess entropy is formally the same as in the diagonal case. |
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