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Density field theory to study association in a Yukawa fluid. Role of the fluctuations
In this paper we study the effect of the interaction potential in a liquid where there is an equilibrium of association of a molecule into dimers. We use a field theory where the fields represent the densities of the species and of its dimer. The Hamiltonian is a generalization to binary mixtures...
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Інститут фізики конденсованих систем НАН України
2003
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/120768 |
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irk-123456789-1207682017-06-13T03:04:59Z Density field theory to study association in a Yukawa fluid. Role of the fluctuations di Caprio, D. Holovko, M.F. Badiali, J.P. In this paper we study the effect of the interaction potential in a liquid where there is an equilibrium of association of a molecule into dimers. We use a field theory where the fields represent the densities of the species and of its dimer. The Hamiltonian is a generalization to binary mixtures of the Hamiltonian studied in the previous work for a one component liquid interacting with a Yukawa potential. In the binary mixture, the dimerization equilibrium is taken into account as a condition on the chemical potential of the monomers and dimers. In this paper we compare the effect of the interaction potentials on the equilibrium densities as predicted by the mean field approximation to their effect as a consequence of the fluctuations. The fluctuations play an important role in the field theoretical analysis. To obtain the effect of the fluctuations, we have used a relation equivalent to the ‘equation of motion’ in the field theory for the interacting quantum particles. We find that in a number of physical cases the mean field analysis can be entirely modified by the effect of the potential in relation with the fluctuations. В даній статті ми досліджуємо вплив потенціалу взаємодії на властивості рідини, в якій є рівноважна асоціація молекул в димери. Використовується теоретико-польовий підхід, в якому поля відповідають густинам молекул та їх димерів. Гамільтоніан системи є узагальненням на бінарні суміші гамільтоніану, що використовувався в попередніх роботах при дослідженні властивостей однокомпонентної рідини з потенціалом взаємодії Юкави. В бінарній суміші рівноважна димеризація враховується через умову на хімічні потенціали моно- мерів і димерів. В даній статті ми порівнюємо вплив потенціалів взаємодії на рівноважні густини в рамках наближення середнього поля і з врахуванням флуктуацій. Флуктуації відіграють важливу роль в польовому теоретичному аналізі. При дослідженні впливу флуктуацій використано співвідношення, еквівалентне “рівнянню руху” в теорії поля для квантових взаємодіючих частинок. Показано, що в багатьох фізичних випадках середньо-польовий аналіз може бути повністю модифікований ефектами, пов’язаними з флуктуаціями. 2003 Article Density field theory to study association in a Yukawa fluid. Role of the fluctuations / D. di Caprio, M.F. Holovko, J.P. Badiali // Condensed Matter Physics. — 2003. — Т. 6, № 4(36). — С. 693-702. — Бібліогр.: 11 назв. — англ. 1607-324X PACS: 61.20.Qg, 03.50.-z, 05.40.-a DOI:10.5488/CMP.6.4.693 http://dspace.nbuv.gov.ua/handle/123456789/120768 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
In this paper we study the effect of the interaction potential in a liquid where
there is an equilibrium of association of a molecule into dimers. We use a
field theory where the fields represent the densities of the species and
of its dimer. The Hamiltonian is a generalization to binary mixtures of the
Hamiltonian studied in the previous work for a one component liquid interacting
with a Yukawa potential. In the binary mixture, the dimerization
equilibrium is taken into account as a condition on the chemical potential
of the monomers and dimers. In this paper we compare the effect of the interaction
potentials on the equilibrium densities as predicted by the mean
field approximation to their effect as a consequence of the fluctuations. The
fluctuations play an important role in the field theoretical analysis. To obtain
the effect of the fluctuations, we have used a relation equivalent to the
‘equation of motion’ in the field theory for the interacting quantum particles.
We find that in a number of physical cases the mean field analysis
can be entirely modified by the effect of the potential in relation with the
fluctuations. |
| format |
Article |
| author |
di Caprio, D. Holovko, M.F. Badiali, J.P. |
| spellingShingle |
di Caprio, D. Holovko, M.F. Badiali, J.P. Density field theory to study association in a Yukawa fluid. Role of the fluctuations Condensed Matter Physics |
| author_facet |
di Caprio, D. Holovko, M.F. Badiali, J.P. |
| author_sort |
di Caprio, D. |
| title |
Density field theory to study association in a Yukawa fluid. Role of the fluctuations |
| title_short |
Density field theory to study association in a Yukawa fluid. Role of the fluctuations |
| title_full |
Density field theory to study association in a Yukawa fluid. Role of the fluctuations |
| title_fullStr |
Density field theory to study association in a Yukawa fluid. Role of the fluctuations |
| title_full_unstemmed |
Density field theory to study association in a Yukawa fluid. Role of the fluctuations |
| title_sort |
density field theory to study association in a yukawa fluid. role of the fluctuations |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2003 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120768 |
| citation_txt |
Density field theory to study
association in a Yukawa fluid.
Role of the fluctuations / D. di Caprio, M.F. Holovko, J.P. Badiali // Condensed Matter Physics. — 2003. — Т. 6, № 4(36). — С. 693-702. — Бібліогр.: 11 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT dicapriod densityfieldtheorytostudyassociationinayukawafluidroleofthefluctuations AT holovkomf densityfieldtheorytostudyassociationinayukawafluidroleofthefluctuations AT badialijp densityfieldtheorytostudyassociationinayukawafluidroleofthefluctuations |
| first_indexed |
2023-10-18T20:38:11Z |
| last_indexed |
2023-10-18T20:38:11Z |
| _version_ |
1796150714632765440 |