Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration
In coupled rotor models which describe identical rotating nuclei the nuclear spin states restrict the possible angular momenta of each molecule. There are two mean-field approaches to determining the orientational phase diagrams in such systems. In one the nuclear spin conversion times are assumed t...
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| Дата: | 2010 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2010
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/116965 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration / B. Hetényi // Физика низких температур. — 2010. — Т. 36, № 3. — С. 328-334. — Бібліогр.: 30 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1169652017-05-19T03:02:27Z Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration Hetényi, B. Физические свойства криокристаллов In coupled rotor models which describe identical rotating nuclei the nuclear spin states restrict the possible angular momenta of each molecule. There are two mean-field approaches to determining the orientational phase diagrams in such systems. In one the nuclear spin conversion times are assumed to be instantaneous in the other infinite. In this paper the intermediate case, when the spin conversion times are significantly slower than those of rotational time scales, but are not infinite on the time-scale of the experiment, is investigated. Via incorporation of the configurational degeneracy it is shown that in the thermodynamic limit the mean-field approach in the intermediate case is identical to the instantaneous spin conversion time approximation. The total entropy can be split into configurational and rotational terms. The mean-field phase diagram of a model of coupled rotors of three-fold symmetry is also calculated in the two approximations. It is shown that the configurational entropy has a maximum as a function of temperature which shifts to lower temperatures with increasing order. 2010 Article Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration / B. Hetényi // Физика низких температур. — 2010. — Т. 36, № 3. — С. 328-334. — Бібліогр.: 30 назв. — англ. 0132-6414 PACS: 64.60.Bd, 64.60.De, 65.40.gd, 64.70.kt http://dspace.nbuv.gov.ua/handle/123456789/116965 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Физические свойства криокристаллов Физические свойства криокристаллов |
| spellingShingle |
Физические свойства криокристаллов Физические свойства криокристаллов Hetényi, B. Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration Физика низких температур |
| description |
In coupled rotor models which describe identical rotating nuclei the nuclear spin states restrict the possible angular momenta of each molecule. There are two mean-field approaches to determining the orientational phase diagrams in such systems. In one the nuclear spin conversion times are assumed to be instantaneous in the other infinite. In this paper the intermediate case, when the spin conversion times are significantly slower than those of rotational time scales, but are not infinite on the time-scale of the experiment, is investigated. Via incorporation of the configurational degeneracy it is shown that in the thermodynamic limit the mean-field approach in the intermediate case is identical to the instantaneous spin conversion time approximation. The total entropy can be split into configurational and rotational terms. The mean-field phase diagram of a model of coupled rotors of three-fold symmetry is also calculated in the two approximations. It is shown that the configurational entropy has a maximum as a function of temperature which shifts to lower temperatures with increasing order. |
| format |
Article |
| author |
Hetényi, B. |
| author_facet |
Hetényi, B. |
| author_sort |
Hetényi, B. |
| title |
Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration |
| title_short |
Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration |
| title_full |
Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration |
| title_fullStr |
Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration |
| title_full_unstemmed |
Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration |
| title_sort |
mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2010 |
| topic_facet |
Физические свойства криокристаллов |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/116965 |
| citation_txt |
Mean-field theory of orientational ordering in rigid rotor models with identical atoms: spin conversion and thermal equilibration / B. Hetényi // Физика низких температур. — 2010. — Т. 36, № 3. — С. 328-334. — Бібліогр.: 30 назв. — англ. |
| series |
Физика низких температур |
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