The collective variables representation of simple fluids from the point of view of statistical field theory
The collective variable representation (CV) of classical statistical systems such as, for instance, simple liquids has been intensively developed by the Ukrainian school after seminal works by Prof. Ihor Yukhnovskii. The basis and the structure of the CV representation are reexamined here from th...
Збережено в:
| Дата: | 2005 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2005
|
| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120513 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The collective variables representation of simple fluids from the point of view of statistical field theory / J.-M. Caillol, O. Patsahan, I. Mryglod // Condensed Matter Physics. — 2005. — Т. 8, № 4(44). — С. 665–684. — Бібліогр.: 29 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | The collective variable representation (CV) of classical statistical systems
such as, for instance, simple liquids has been intensively developed by the
Ukrainian school after seminal works by Prof. Ihor Yukhnovskii. The basis
and the structure of the CV representation are reexamined here from the
point of view of statistical field theory and compared with another exact statistical
field representation of liquids based upon a Hubbard-Stratonovich
transform. We derive a two-loop expansion for the grand potential and free
energy of a simple fluid in both versions of the theory. The results obtained
by the two approaches are shown to coincide at each order of the loop expansion.
The one-loop results are identical to those obtained within the
framework of the random phase approximation of the theory of liquids.
However, at the second-loop level, new expressions for pressure and the
free energy are obtained, yielding a new type of approximation. |
|---|