Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations
Phase behavior of the Yukawa hard-sphere polydisperse mixture with high degree of polydispersity is studied using high temperature approximation (HTA) and mean spherical approximation (MSA). We have extended and applied the scheme developed to calculate the phase diagrams of polydisperse mixtures de...
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| Видавець: | Інститут фізики конденсованих систем НАН України |
|---|---|
| Дата: | 2016 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут фізики конденсованих систем НАН України
2016
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155809 |
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| Цитувати: | Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations / T.V. Hvozd, Y.V. Kalyuzhnyi // Condensed Matter Physics. — 2016. — Т. 19, № 2. — С. 23603: 1–15. — Бібліогр.: 32 назв. — англ. |
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irk-123456789-1558092019-06-18T01:27:36Z Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations Hvozd, T.V. Kalyuzhnyi, Y.V. Phase behavior of the Yukawa hard-sphere polydisperse mixture with high degree of polydispersity is studied using high temperature approximation (HTA) and mean spherical approximation (MSA). We have extended and applied the scheme developed to calculate the phase diagrams of polydisperse mixtures described by the truncatable free energy models, i.e., the models with Helmholtz free energy defined by the finite number of the moments of the species distribution function. At high degree of polydispersity, several new features in the topology of the two-phase diagram have been observed: the cloud and shadow curves intersect twice and each of them forms a closed loop of the ellipsoidal-like shape with the liquid and gas branches of the cloud curve almost coinciding. Approaching a certain limiting value of the polydispersity index, the cloud and shadow curves shrink and disappear. Beyond this limiting value, polydispersity induces the appearance of the three-phase equilibrium at lower temperatures. We present and analyze corresponding phase diagrams together with distribution functions of three coexisting phases. In general, good agreement was observed between predictions of the two different theoretical methods, i.e., HTA and MSA. Our results confirm qualitative predictions for the three-phase coexistence obtained earlier within the framework of the van der Waals approach. Використовуючи високотемпературне (ВТН) та середньосферичне наближення (ССН), дослiджено фазову поведiнку полiдисперсної сумiшi юкавiвських твердих сфер при високих ступенях полiдисперсностi. Розширено та застосовано схему, яка була розвинена для обчислення фазових дiаграм полiдисперсних сумiшей, якi описуються моделями обрiзаної вiльної енергiї, тобто моделями, вiльна енергiя Гельмгольца яких визначається обмеженим числом узагальнених моментiв функцiї розподiлу. В топологiї двофазних дiаграм при високому ступенi полiдисперсностi спостерiгаються деякi новi властивостi: кривi хмари та тiнi перетинаються двiчi, i кожна з них утворює замкнену петлю елiпсоїдальної форми, причому, рiдинна i газова вiтки кривої хмари майже збiгаються. При певному граничному значеннi iндекса полiдисперсностi кривi хмари та тiнi скорочуються i зникають. Вище, нiж це граничне значення iндекса полiдисперсностi при нижчих температурах зумовлює появу трифазної рiвноваги. Представлено i проаналiзовано вiдповiднi фазовi дiаграми разом з функцiями розподiлу трьох спiвiснуючих фаз. Спостерiгається, загалом, добре узгодження мiж результатами двох рiзних теоретичних методiв, тобто ВТН i ССН. Нашi результати пiдтверджують якiснi передбачення для трифазного спiвiснування, якi були отриманi ранiше в рамках наближення ван дер Ваальса. 2016 Article Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations / T.V. Hvozd, Y.V. Kalyuzhnyi // Condensed Matter Physics. — 2016. — Т. 19, № 2. — С. 23603: 1–15. — Бібліогр.: 32 назв. — англ. 1607-324X DOI:10.5488/CMP.19.23603 arXiv:1603.07132 PACS: 64.75.-g, 82.70.Dd http://dspace.nbuv.gov.ua/handle/123456789/155809 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 |
Phase behavior of the Yukawa hard-sphere polydisperse mixture with high degree of polydispersity is studied using high temperature approximation (HTA) and mean spherical approximation (MSA). We have extended and applied the scheme developed to calculate the phase diagrams of polydisperse mixtures described by the truncatable free energy models, i.e., the models with Helmholtz free energy defined by the finite number of the moments of the species distribution function. At high degree of polydispersity, several new features in the topology of the two-phase diagram have been observed: the cloud and shadow curves intersect twice and each of them forms a closed loop of the ellipsoidal-like shape with the liquid and gas branches of the cloud curve almost coinciding. Approaching a certain limiting value of the polydispersity index, the cloud and shadow curves shrink and disappear. Beyond this limiting value, polydispersity induces the appearance of the three-phase equilibrium at lower temperatures. We present and analyze corresponding phase diagrams together with distribution functions of three coexisting phases. In general, good agreement was observed between predictions of the two different theoretical methods, i.e., HTA and MSA. Our results confirm qualitative predictions for the three-phase coexistence obtained earlier within the framework of the van der Waals approach. |
| format |
Article |
| author |
Hvozd, T.V. Kalyuzhnyi, Y.V. |
| spellingShingle |
Hvozd, T.V. Kalyuzhnyi, Y.V. Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations Condensed Matter Physics |
| author_facet |
Hvozd, T.V. Kalyuzhnyi, Y.V. |
| author_sort |
Hvozd, T.V. |
| title |
Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations |
| title_short |
Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations |
| title_full |
Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations |
| title_fullStr |
Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations |
| title_full_unstemmed |
Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations |
| title_sort |
two- and three-phase equilibria in polydisperse yukawa hard-sphere mixture. high temperature and mean spherical approximations |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155809 |
| citation_txt |
Two- and three-phase equilibria in polydisperse Yukawa hard-sphere mixture. High temperature and mean spherical approximations / T.V. Hvozd, Y.V. Kalyuzhnyi // Condensed Matter Physics. — 2016. — Т. 19, № 2. — С. 23603: 1–15. — Бібліогр.: 32 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT hvozdtv twoandthreephaseequilibriainpolydisperseyukawahardspheremixturehightemperatureandmeansphericalapproximations AT kalyuzhnyiyv twoandthreephaseequilibriainpolydisperseyukawahardspheremixturehightemperatureandmeansphericalapproximations |
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2023-05-20T17:48:06Z |
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2023-05-20T17:48:06Z |
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1796154124606111744 |