Ginzburg-Landau-Wilson Hamiltonian for a multi-component continuous system: a microscopic description
Recently we proposed the microscopic approach to the description of the phase behaviour and critical phenomena in binary fluid mixtures. It was based on the method of collective variables (CV) with a reference system. The approach allowed us to obtain the functional of the Ginzburg-LandauWilson...
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| Datum: | 2002 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2002
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/120661 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Ginzburg-Landau-Wilson Hamiltonian for a multi-component continuous system: a microscopic description / O.V. Patsahan // Condensed Matter Physics. — 2002. — Т. 5, № 3(31). — С. 413-428. — Бібліогр.: 29 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | Recently we proposed the microscopic approach to the description of the
phase behaviour and critical phenomena in binary fluid mixtures. It was
based on the method of collective variables (CV) with a reference system.
The approach allowed us to obtain the functional of the Ginzburg-LandauWilson
(GLW) Hamiltonian expressed in terms of the collective variables
(“density” variables). The corresponding set of collective variables included
the variable connected with the order parameter. In this paper, based on
the previous results, we construct the GLW Hamiltonian in the phase space
of the “field” variables φˆ
~k
(fluctuating fields) conjugate to the “density” variables.
We apply the obtained GLW functional to the study of both the binary
symmetrical mixture and the restricted primitive model. In the former case
we consider the Gaussian approximation only and show that the obtained
results are the same as those found previously using the CV method. In the
latter case we calculate the phase diagram taking into account the powers
of φˆ
~k
higher than the second one |
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