Effect of mesoscopic fluctuations on equation of state in cluster-forming systems
Equation of state for systems with particles self-assembling into aggregates is derived within a mesoscopic theory combining density functional and field-theoretic approaches. We focus on the effect of mesoscopic fluctuations in the disordered phase. The pressure - volume fraction isotherms are calc...
Збережено в:
| Дата: | 2012 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2012
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120267 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Effect of mesoscopic fluctuations on equation of state in cluster-forming systems / A. Ciach, O. Patsahan // Condensed Matter Physics. — 2012. — Т. 15, № 2. — С. 23604:1-16. — Бібліогр.: 27 назв. — англ. |
Репозитарії
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irk-123456789-1202672017-06-12T03:04:23Z Effect of mesoscopic fluctuations on equation of state in cluster-forming systems Ciach, A. Patsahan, O. Equation of state for systems with particles self-assembling into aggregates is derived within a mesoscopic theory combining density functional and field-theoretic approaches. We focus on the effect of mesoscopic fluctuations in the disordered phase. The pressure - volume fraction isotherms are calculated explicitly for two forms of the short-range attraction long-range repulsion potential. Mesoscopic fluctuations lead to an increased pressure in each case, except for very small volume fractions. When large clusters are formed, the mechanical instability of the system is present at much higher temperature than found in mean-field approximation. In this case phase separation competes with the formation of periodic phases (colloidal crystals). In the case of small clusters, no mechanical instability associated with separation into dilute and dense phases appears. Рiвняння стану для систем частинок, що самоскупчуються в агрегати, є отримане в рамках мезоскопiчної теорiї, що поєднує метод функцiоналу густини i теоретико-польовий пiдхiд. Ми дослiджуємо вплив мезоскопiчних флуктуацiй у невпорядкованiй фазi. Явно обчислено iзотерми ‘тиск – об’ємна частка’ для двох наборiв параметрiв потенцiалу короткосяжне притягання плюс далекосяжне вiдштовхування. В кожному випадку врахування мезоскопiчних флуктуацiй приводить до пiдвищення тиску, за винятком дуже малих об’ємних часток. Коли утворюються великi кластери, механiчна нестiйкiсть системи присутня при набагато вищих температурах, нiж це було отримано в наближеннi середнього поля. В цьому випадку фазове вiдокремлення конкурує iз формуванням перiодичних фаз (колоїдних кристалiв). У випадку малих кластерiв механiчна нестiйкiсть, пов’язана з вiдокремленням в розрiджену i густу фази, не виникає. 2012 Article Effect of mesoscopic fluctuations on equation of state in cluster-forming systems / A. Ciach, O. Patsahan // Condensed Matter Physics. — 2012. — Т. 15, № 2. — С. 23604:1-16. — Бібліогр.: 27 назв. — англ. 1607-324X PACS: 61.20.Gy, 64.10.+h, 64.60.De, 64.75.Yz DOI:10.5488/CMP.15.23604 arXiv:1201.0464 http://dspace.nbuv.gov.ua/handle/123456789/120267 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Equation of state for systems with particles self-assembling into aggregates is derived within a mesoscopic theory combining density functional and field-theoretic approaches. We focus on the effect of mesoscopic fluctuations in the disordered phase. The pressure - volume fraction isotherms are calculated explicitly for two forms of the short-range attraction long-range repulsion potential. Mesoscopic fluctuations lead to an increased pressure in each case, except for very small volume fractions. When large clusters are formed, the mechanical instability of the system is present at much higher temperature than found in mean-field approximation. In this case phase separation competes with the formation of periodic phases (colloidal crystals). In the case of small clusters, no mechanical instability associated with separation into dilute and dense phases appears. |
| format |
Article |
| author |
Ciach, A. Patsahan, O. |
| spellingShingle |
Ciach, A. Patsahan, O. Effect of mesoscopic fluctuations on equation of state in cluster-forming systems Condensed Matter Physics |
| author_facet |
Ciach, A. Patsahan, O. |
| author_sort |
Ciach, A. |
| title |
Effect of mesoscopic fluctuations on equation of state in cluster-forming systems |
| title_short |
Effect of mesoscopic fluctuations on equation of state in cluster-forming systems |
| title_full |
Effect of mesoscopic fluctuations on equation of state in cluster-forming systems |
| title_fullStr |
Effect of mesoscopic fluctuations on equation of state in cluster-forming systems |
| title_full_unstemmed |
Effect of mesoscopic fluctuations on equation of state in cluster-forming systems |
| title_sort |
effect of mesoscopic fluctuations on equation of state in cluster-forming systems |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120267 |
| citation_txt |
Effect of mesoscopic fluctuations on equation of state in cluster-forming systems / A. Ciach, O. Patsahan // Condensed Matter Physics. — 2012. — Т. 15, № 2. — С. 23604:1-16. — Бібліогр.: 27 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT ciacha effectofmesoscopicfluctuationsonequationofstateinclusterformingsystems AT patsahano effectofmesoscopicfluctuationsonequationofstateinclusterformingsystems |
| first_indexed |
2023-10-18T20:36:24Z |
| last_indexed |
2023-10-18T20:36:24Z |
| _version_ |
1796150644319453184 |