Autowaves of component concentration under directed crystallization

The occurrence of autowaves at the interface as a result of a first-order phase transition had been examined. The linear analysis of a system of the equations for a liquid which contains two components shows that a phase transition at the interface can give rise to autowaves. A spectrum of these a...

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Бібліографічні деталі
Дата:1998
Автор: Gus`kov, A.P.
Формат: Стаття
Мова:English
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 1998
Назва видання:Физика низких температур
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Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/176418
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Autowaves of component concentration under directed crystallization / A.P. Gus`kov // Физика низких температур. — 1998. — Т. 24, № 2. — С. 182-185. — Бібліогр.: 5 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-176418
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spelling irk-123456789-1764182021-02-05T01:26:12Z Autowaves of component concentration under directed crystallization Gus`kov, A.P. Специальный выпуск International Workshop on Low Temperature Microgravity Physics The occurrence of autowaves at the interface as a result of a first-order phase transition had been examined. The linear analysis of a system of the equations for a liquid which contains two components shows that a phase transition at the interface can give rise to autowaves. A spectrum of these autowaves depends on parameters of the system. For a special case of the system parameters an analysis is made of the dependence of the spectrum of autowaves from a temperature gradient the interface. We show that as a result of a interface instability in the bulk solid phase there are various periodic structures of distribution of the component concentration. Surfaces of equal concentration for the spectra of the autowaves are built. A qualitative and quantitative comparison of the numerical calculations with experimental data is made. 1998 Article Autowaves of component concentration under directed crystallization / A.P. Gus`kov // Физика низких температур. — 1998. — Т. 24, № 2. — С. 182-185. — Бібліогр.: 5 назв. — англ. 0132-6414 PACS: 61.72.Ss, 66.30.-h http://dspace.nbuv.gov.ua/handle/123456789/176418 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 International Workshop on Low Temperature Microgravity Physics
Специальный выпуск International Workshop on Low Temperature Microgravity Physics
spellingShingle Специальный выпуск International Workshop on Low Temperature Microgravity Physics
Специальный выпуск International Workshop on Low Temperature Microgravity Physics
Gus`kov, A.P.
Autowaves of component concentration under directed crystallization
Физика низких температур
description The occurrence of autowaves at the interface as a result of a first-order phase transition had been examined. The linear analysis of a system of the equations for a liquid which contains two components shows that a phase transition at the interface can give rise to autowaves. A spectrum of these autowaves depends on parameters of the system. For a special case of the system parameters an analysis is made of the dependence of the spectrum of autowaves from a temperature gradient the interface. We show that as a result of a interface instability in the bulk solid phase there are various periodic structures of distribution of the component concentration. Surfaces of equal concentration for the spectra of the autowaves are built. A qualitative and quantitative comparison of the numerical calculations with experimental data is made.
format Article
author Gus`kov, A.P.
author_facet Gus`kov, A.P.
author_sort Gus`kov, A.P.
title Autowaves of component concentration under directed crystallization
title_short Autowaves of component concentration under directed crystallization
title_full Autowaves of component concentration under directed crystallization
title_fullStr Autowaves of component concentration under directed crystallization
title_full_unstemmed Autowaves of component concentration under directed crystallization
title_sort autowaves of component concentration under directed crystallization
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 1998
topic_facet Специальный выпуск International Workshop on Low Temperature Microgravity Physics
url http://dspace.nbuv.gov.ua/handle/123456789/176418
citation_txt Autowaves of component concentration under directed crystallization / A.P. Gus`kov // Физика низких температур. — 1998. — Т. 24, № 2. — С. 182-185. — Бібліогр.: 5 назв. — англ.
series Физика низких температур
work_keys_str_mv AT guskovap autowavesofcomponentconcentrationunderdirectedcrystallization
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last_indexed 2025-07-15T14:11:02Z
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( * ≤ ( ≤ A . ∂ % ∂τ = χ∆ % + K ∂ % ∂ ( . A ≤ (TS ∞ . ∂ , ∂τ = 7 ∆ , + K ∂ , ∂ ( . A ≤ (TS ∞ . χ′ ∂ % ′ ∂ (   U = − < − χ ∂ % ∂ (   U = + * = ε K . V W�XDY�X�Z�[D\J] ^�_a`Rb#cedBd�f χ ∂ % ∂ (   � = − * = ����% ( A ) = % ′( A ) . % (∞) = % *D* . � ∂ 0 ∂ (    U = * = K ( � − � ) , ( A ) . , (∞) = å . K = K ( % ('�� �� τ) é 0 ( 5 é A�é τ)) ÿ �DÚ�íYÚ � = , ∞, m ( A ) é áDÜ�Ú�íYÚ , m ( A ) ì[ßµêPÜ�Ú=ñVà�ýµð�à"â�Ú�â�êDñ�à"â�ñ�Ú7â�êPíPÝ�ê�ì¼à�â Ý�ê5ê�Ü�Ú ì[â�êXÚ7íXëYÝ�ñVÚ-ì[â�êPÜ�Ú-ßYê�Ý�êPì¼à�â�Ý�íXùKíYÚ�ó�ìgýµÚ�ÿ ��à ß�êo÷�ï�ù�ê�Ü�Ú-ßYêPÝa��ì �[ì¼êoù�à�ë*ê�Ü�Ú-ßYêPÝ�ê�ì{à�â�ÝQíYùKßYà��¼÷�ê�ì¼à�â�ß Ý�ó�Ý�ì[â�ßXêDßXýDÝ����_ð�Ú�íXêo÷�í ��Ý�êPì¼à"â�ß�à�ë�êPÜ�Ú-êXÚ7ý5ð�Ú�íPÝ�êo÷�íXÚ?Ý�â�ï ñVà�â�ñ�Ú7â�ê�íXÝ�êPì�à�â�é$áµÚDßXÚ�ÚR�=êPÜ�ÚDßXà �q÷�ê�ì{à�â�ß�ÝQß % ′ = %� ′(2 ) + % �′ ( ( ) Ú���ð (ωτ + � 5 ) . % = % m (( ) + % � ( ( ) Ú���ð (ωτ + � 5 ) . , = , m (( ) + , � ( ( ) Ú���ð (ωτ + � 5 ) . ω = ω E + � ω¡ . � = � � + ��� ¡ é % � ′( ( ) S�S % m′(( ) . % � ( ( ) S�S % m (( ) � , � ( ( ) S�S , m (( ) � áDÜ�Ú�íYÚ % m′(( ) é % m (( ) é_Ý�â�ï , m ( ( ) Ý�í�ÚKê�Ü+ÚJßYà��¼÷�ê�ì¼à�â�ß5à�ëê�Ü�Ú ßYêPÝ�êPì�à�â�ÝQíYùCð�í�à����qÚ�ý ÿ�Ù ÚL�[ì¼â�Ú�Ý�íPì> lÚ?êPÜ�Ú ��à�÷�â�ï�ÝQíYù Þ�Ý��q÷�Ú ð�í�à�� �qÚ�ý3êoàJßXýDÝ���� % �′ ( ( ) é % � ( ( ) éF, � ( ( ) ?�÷$Ý�â�î ê�ì¼êPì¼Ú7ß�Ý�â�ïJëYìgâ�ïIê�Ü�Ú?ß�à��q÷�êPì¼à"â�ß°à"ë�ê�Ü�Ú?ß�ê�Ý�êPì{à+â�Ý�íYùIð�íXà���î �qÚ�ýüÝ�â�ï?ë�à�í*ßoý5Ý�� ��ð�Ú�íXêo÷�í ��Ý�êPì¼à"â�ß´à�ëvê�Ü+Ú¸ð�íYà����¼Ú7ý ÿ=�vÜ�Ú Ü�à�ýµàQó�Ú7â+ÚVà�÷�ß ��à�÷�â�ï�Ý�íXùþÞ�Ý��¼÷�Ú ð�íXà����¼Ú7ýòë�à�íÛßoý5Ý�� � ð�Ú�íYêX÷�íH��Ý�ê�ì¼à�â�ß_ó�ì¼Þ�Ú�ßÀê�Ü+Ú�ï�ìgßoð�Ú7íXß�ì{à�âKí�Ú��[Ý�êPì�à�â�ÿ �vÜ�ÚKï�ì[ßXð�Ú�íoßPì{à�â í�Ú��[Ý�êPì�à�â ñVà�â�êPÝ�ì[â�ß5Ý�� �Àê�Ü+Ú ð�Ý�íoÝ�ý¸Ú7î êoÚ�í�ß�ê�Ü�Ý�ê`Ý�íXÚµñ�à�â�ê�ÝQìqâ�Ú�ïKì[â�êPÜ�Ú3��à�÷�â�ï�ÝQíYù�Þ�Ý��¼÷�Ú-ð�íXà���î �qÚ�ý�ÿ��vÜ�Ú7ßXÚ�ð�Ý�íPÝ�ýµÚ�êoÚ�íoß*ï�Ú�ð�Ú7â�ï5à�â5ê�Ü�Ú°ñVà�ýµð�à"ßPì{ê�ìrà+â5à�ë ê�Ü�Ú ýDÝ�êXÚ7íXì[Ý�� ÝQâ�ï à"â ê�Ü�Ú Ú���êoÚ�íoâ�Ý�� ñVà�â�ï�ì¼ê�ì¼à�â�߯à�ë ñ7íXù�ßXê�Ý����rì� lÝ.ê�ì{à�â�ÿ@�½Ü+ÚVù Ý�íXÚ í�Ú7ï�÷�ñ�Ú7ï êoàCßoì��ûï�ì[ýSÚ7â�ß�ì{à�â�î �qÚ�ßPß�ð�Ý�íPÝ�ýSÚVêXÚ7íXßJ4 µ � = χ7 . µ¡ = χ χ′ ��� � = γK m . � ¡ = � εθ� m . 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