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 |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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Назва видання: | Физика низких температур |
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Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/176170 |
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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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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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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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 |
_version_ |
1796156143567896576 |