Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes
An exact expression for the diffusion time which depends on the interaction rates for particles of not only different, but also of the same species, has been derived from the system of kinetic equations. The result is valid for particles with arbitrary statistics and energy-momentum relations. The...
Збережено в:
| Дата: | 1999 |
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| Автори: | , , , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
1999
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119920 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes / I.N. Adamenko, K.E. Nemchenko, A.V. Zhukov, T.F. George, L.N. Pandey, Chung-In Um // Condensed Matter Physics. — 1999. — Т. 2, № 1(17). — С. 63-74. — Бібліогр.: 23 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1199202017-06-11T03:03:57Z Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes Adamenko, I.N. Nemchenko, K.E. Zhukov, A.V. George, T.F. Pandey, L.N. Um, Chung-In An exact expression for the diffusion time which depends on the interaction rates for particles of not only different, but also of the same species, has been derived from the system of kinetic equations. The result is valid for particles with arbitrary statistics and energy-momentum relations. The derived general relations are valid for investigating diffusion in liquid and solid ³He-⁴He mixtures. The contribution of interaction between quasiparticles of the same type to the diffusion coefficient and effective thermal conductivity of superfluid solutions is analyzed. The calculated values are compared with experimental data. The calculated diffusion coefficient of ³He-⁴He solid solutions differs from the previous theoretical results. A comparison of the obtained diffusion coefficient with experimental data makes it possible to determine the numerical value of the energy band width for impurity quasiparticles. Виходячи з системи кiнетичних рiвнянь для компонент сумiшi отримано точний вираз для дифузiйного часу, що залежить вiд взаємодiї частинок не тiльки рiзних, а й одного типу. Отриманий результ справедливий для частинок з довiльною дисперсiєю і статистикою. Одержаний точний вираз використовується для дослiдження дифузiї у рiдких та твердих квантових розчинах ³He-⁴He. Проаналiзовано внесок взаємодiї мiж квазiчастинками однакових типiв у коефiцiєнт дифузiї та теплопровiдностi надплинних розчинiв. Обчисленi результати порiвнюються з iснуючими експериментальними даними. Отриманий коефiцiєнт дифузiї для твердих квантових розчинiв ³He-⁴He iстотно вiдрiзняється від попереднiх результатiв теорiї. Порiвняння цього результату з експериментальними даними дозволило дiстати числове значення для енергетичної зони квазiчастинок домiшки. 1999 Article Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes / I.N. Adamenko, K.E. Nemchenko, A.V. Zhukov, T.F. George, L.N. Pandey, Chung-In Um // Condensed Matter Physics. — 1999. — Т. 2, № 1(17). — С. 63-74. — Бібліогр.: 23 назв. — англ. 1607-324X DOI:10.5488/CMP.2.1.63 PACS: 51.20.+d, 67.80.Mg http://dspace.nbuv.gov.ua/handle/123456789/119920 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 |
An exact expression for the diffusion time which depends on the interaction rates for particles of not only different, but also of the same species,
has been derived from the system of kinetic equations. The result is valid
for particles with arbitrary statistics and energy-momentum relations. The
derived general relations are valid for investigating diffusion in liquid and
solid ³He-⁴He mixtures. The contribution of interaction between quasiparticles of the same type to the diffusion coefficient and effective thermal
conductivity of superfluid solutions is analyzed. The calculated values are
compared with experimental data. The calculated diffusion coefficient of
³He-⁴He solid solutions differs from the previous theoretical results. A comparison of the obtained diffusion coefficient with experimental data makes
it possible to determine the numerical value of the energy band width for
impurity quasiparticles. |
| format |
Article |
| author |
Adamenko, I.N. Nemchenko, K.E. Zhukov, A.V. George, T.F. Pandey, L.N. Um, Chung-In |
| spellingShingle |
Adamenko, I.N. Nemchenko, K.E. Zhukov, A.V. George, T.F. Pandey, L.N. Um, Chung-In Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes Condensed Matter Physics |
| author_facet |
Adamenko, I.N. Nemchenko, K.E. Zhukov, A.V. George, T.F. Pandey, L.N. Um, Chung-In |
| author_sort |
Adamenko, I.N. |
| title |
Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes |
| title_short |
Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes |
| title_full |
Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes |
| title_fullStr |
Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes |
| title_full_unstemmed |
Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes |
| title_sort |
diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
1999 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119920 |
| citation_txt |
Diffusion in two-component quasiparticle systems of liquid and solid mixtures of helium isotopes / I.N. Adamenko, K.E. Nemchenko, A.V. Zhukov, T.F. George, L.N. Pandey, Chung-In Um // Condensed Matter Physics. — 1999. — Т. 2, № 1(17). — С. 63-74. — Бібліогр.: 23 назв. — англ. |
| series |
Condensed Matter Physics |
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