Phonon-kink scattering effect on the low-temperature thermal transport in solids

We consider contribution to the phonon scattering, in the temperature range of 1 K, by the dislocation kinks pinned in the random stress fields in a crystal. The effect of electron-kink scattering on the thermal transport in the normal metals was considered much earlier [1]. The phonon thermal trans...

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Дата:2018
Автори: van Ostaay, J.A.M., Mukhin, S.I.
Формат: Стаття
Мова:English
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
Назва видання:Физика низких температур
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Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/176170
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Phonon-kink scattering effect on the low-temperature thermal transport in solids / J.A.M. van Ostaay, S.I. Mukhin // Физика низких температур. — 2018. — Т. 44, № 6. — С. 747-757. — Бібліогр.: 21 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling irk-123456789-1761702021-02-04T01:30:30Z Phonon-kink scattering effect on the low-temperature thermal transport in solids van Ostaay, J.A.M. Mukhin, S.I. Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова We consider contribution to the phonon scattering, in the temperature range of 1 K, by the dislocation kinks pinned in the random stress fields in a crystal. The effect of electron-kink scattering on the thermal transport in the normal metals was considered much earlier [1]. The phonon thermal transport anomaly at low temperature was demonstrated by experiments in the deformed (bent) superconducting lead samples [2] and in helium-4 crystals [3,4] and was ascribed to the dislocation dynamics. Previously, we had discussed semi-qualitatively the phonon-kink scattering effects on the thermal conductivity of insulating crystals in a series of papers [5,6]. In this work it is demonstrated explicitly that exponent of the power low in the temperature dependence of the phonon thermal conductivity depends, due to kinks, on the distribution of the random elastic stresses in the crystal, that pin the kinks motion along the dislocation lines. We found that one of the random matrix distributions of the well known Wigner–Dyson theory is most suitable to fit the lead samples experimental data [2]. We also demonstrate that depending on the distribution function of the oscillation frequencies of the kinks, the power low-temperature dependences of the phonon thermal conductivity, in principle, may possess exponents in the range of 2–5. 2018 Article Phonon-kink scattering effect on the low-temperature thermal transport in solids / J.A.M. van Ostaay, S.I. Mukhin // Физика низких температур. — 2018. — Т. 44, № 6. — С. 747-757. — Бібліогр.: 21 назв. — англ. 0132-6414 PACS: 72.10.–d, 72.15.Eb, 66.70.–f, 61.72.Lk, 67.80.–s http://dspace.nbuv.gov.ua/handle/123456789/176170 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 Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова
spellingShingle Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова
Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова
van Ostaay, J.A.M.
Mukhin, S.I.
Phonon-kink scattering effect on the low-temperature thermal transport in solids
Физика низких температур
description We consider contribution to the phonon scattering, in the temperature range of 1 K, by the dislocation kinks pinned in the random stress fields in a crystal. The effect of electron-kink scattering on the thermal transport in the normal metals was considered much earlier [1]. The phonon thermal transport anomaly at low temperature was demonstrated by experiments in the deformed (bent) superconducting lead samples [2] and in helium-4 crystals [3,4] and was ascribed to the dislocation dynamics. Previously, we had discussed semi-qualitatively the phonon-kink scattering effects on the thermal conductivity of insulating crystals in a series of papers [5,6]. In this work it is demonstrated explicitly that exponent of the power low in the temperature dependence of the phonon thermal conductivity depends, due to kinks, on the distribution of the random elastic stresses in the crystal, that pin the kinks motion along the dislocation lines. We found that one of the random matrix distributions of the well known Wigner–Dyson theory is most suitable to fit the lead samples experimental data [2]. We also demonstrate that depending on the distribution function of the oscillation frequencies of the kinks, the power low-temperature dependences of the phonon thermal conductivity, in principle, may possess exponents in the range of 2–5.
format Article
author van Ostaay, J.A.M.
Mukhin, S.I.
author_facet van Ostaay, J.A.M.
Mukhin, S.I.
author_sort van Ostaay, J.A.M.
title Phonon-kink scattering effect on the low-temperature thermal transport in solids
title_short Phonon-kink scattering effect on the low-temperature thermal transport in solids
title_full Phonon-kink scattering effect on the low-temperature thermal transport in solids
title_fullStr Phonon-kink scattering effect on the low-temperature thermal transport in solids
title_full_unstemmed Phonon-kink scattering effect on the low-temperature thermal transport in solids
title_sort phonon-kink scattering effect on the low-temperature thermal transport in solids
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2018
topic_facet Специальный выпуск К 90-летию со дня рождения A.A. Абрикосова
url http://dspace.nbuv.gov.ua/handle/123456789/176170
citation_txt Phonon-kink scattering effect on the low-temperature thermal transport in solids / J.A.M. van Ostaay, S.I. Mukhin // Физика низких температур. — 2018. — Т. 44, № 6. — С. 747-757. — Бібліогр.: 21 назв. — англ.
series Физика низких температур
work_keys_str_mv AT vanostaayjam phononkinkscatteringeffectonthelowtemperaturethermaltransportinsolids
AT mukhinsi phononkinkscatteringeffectonthelowtemperaturethermaltransportinsolids
first_indexed 2023-10-18T22:40:39Z
last_indexed 2023-10-18T22:40:39Z
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