On extrapolation of virial coefficients of hard spheres
Several methods of extrapolating the virial coefficients, including those proposed in this work, are discussed. The methods are demonstrated on predicting higher virial coefficients of one-component hard spheres. Estimated values of the eleventh to fifteenth virial coefficients are suggested. It has...
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| 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/123456789/120273 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On extrapolation of virial coefficients of hard spheres / M. Ončák, A. Malijevský, J. Kolafa, S. Labík // Condensed Matter Physics. — 2012. — Т. 15, № 2. — С. 23004:1-8. — Бібліогр.: 29 назв. — англ. |
Репозитарії
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irk-123456789-1202732017-06-12T03:04:04Z On extrapolation of virial coefficients of hard spheres Ončák, M. Malijevský, A. Kolafa, J. Labík, S. Several methods of extrapolating the virial coefficients, including those proposed in this work, are discussed. The methods are demonstrated on predicting higher virial coefficients of one-component hard spheres. Estimated values of the eleventh to fifteenth virial coefficients are suggested. It has been speculated that the virial coefficients, Bn, beyond B₁₄ may decrease with increasing n, and may reach negative values at large n. The extrapolation techniques may be utilized in other fields of science where the art of extrapolation plays a role. Обговорюються декiлька екстаполяцiйних методiв для вiрiальних коефiцiєнтiв, включно iз запропонованими в цiй роботi. Показано можливостi методiв передбачати вищi вiрiальнi коефiцiєнти однокомпонентної системи твердих сфер. Запропоновано оцiнки для вiрiальних коефiцiєнтiв вiд одинадцятого до п’ятнадцятого. Передбачається, що вiрiальнi коефiцiєнти Bn вищого порядку нiж B₁₄, можуть зменшуватися з ростом n i можуть досягати негативних значень для великих n. Цi екстраполяцiйнi методи можуть бути використанi в iнших областях, де екстраполяцiя є важливою. 2012 Article On extrapolation of virial coefficients of hard spheres / M. Ončák, A. Malijevský, J. Kolafa, S. Labík // Condensed Matter Physics. — 2012. — Т. 15, № 2. — С. 23004:1-8. — Бібліогр.: 29 назв. — англ. 1607-324X PACS: 02.30.-f, 51.30.+i DOI:10.5488/CMP.15.23004 arXiv:1207.3259 http://dspace.nbuv.gov.ua/handle/123456789/120273 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 |
Several methods of extrapolating the virial coefficients, including those proposed in this work, are discussed. The methods are demonstrated on predicting higher virial coefficients of one-component hard spheres. Estimated values of the eleventh to fifteenth virial coefficients are suggested. It has been speculated that the virial coefficients, Bn, beyond B₁₄ may decrease with increasing n, and may reach negative values at large n. The extrapolation techniques may be utilized in other fields of science where the art of extrapolation plays a role. |
| format |
Article |
| author |
Ončák, M. Malijevský, A. Kolafa, J. Labík, S. |
| spellingShingle |
Ončák, M. Malijevský, A. Kolafa, J. Labík, S. On extrapolation of virial coefficients of hard spheres Condensed Matter Physics |
| author_facet |
Ončák, M. Malijevský, A. Kolafa, J. Labík, S. |
| author_sort |
Ončák, M. |
| title |
On extrapolation of virial coefficients of hard spheres |
| title_short |
On extrapolation of virial coefficients of hard spheres |
| title_full |
On extrapolation of virial coefficients of hard spheres |
| title_fullStr |
On extrapolation of virial coefficients of hard spheres |
| title_full_unstemmed |
On extrapolation of virial coefficients of hard spheres |
| title_sort |
on extrapolation of virial coefficients of hard spheres |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/120273 |
| citation_txt |
On extrapolation of virial coefficients of hard spheres / M. Ončák, A. Malijevský, J. Kolafa, S. Labík // Condensed Matter Physics. — 2012. — Т. 15, № 2. — С. 23004:1-8. — Бібліогр.: 29 назв. — англ. |
| series |
Condensed Matter Physics |
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2025-07-08T17:34:47Z |
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