Optical generation of the first and second sounds in superfluid ³He-⁴He solutions

An optical method of generation of the first and second sounds in superfluid ³He - ⁴He solutions is proposed. The method is based on illumination by amplitude-modulated laser beam with wavelength corresponding to a region of absorption. Numerical calculations of pressure and temperature as a functio...

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Veröffentlicht in:Физика низких температур
Datum:1999
1. Verfasser: Salikhov, T.Kh.
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 1999
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/139036
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Optical generation of the first and second sounds in superfluid ³He-⁴He solutions / T.Kh. Salikhov // Физика низких температур. — 1999. — Т. 25, № 10. — С. 1021-1026. — Бібліогр.: 12 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-139036
record_format dspace
spelling Salikhov, T.Kh.
2018-06-19T18:39:41Z
2018-06-19T18:39:41Z
1999
Optical generation of the first and second sounds in superfluid ³He-⁴He solutions / T.Kh. Salikhov // Физика низких температур. — 1999. — Т. 25, № 10. — С. 1021-1026. — Бібліогр.: 12 назв. — англ.
0132-6414
https://nasplib.isofts.kiev.ua/handle/123456789/139036
An optical method of generation of the first and second sounds in superfluid ³He - ⁴He solutions is proposed. The method is based on illumination by amplitude-modulated laser beam with wavelength corresponding to a region of absorption. Numerical calculations of pressure and temperature as a function of time are carried out. It was found that the presence of ³He isotopes in the solution provides strong coupling between these parameters and, as a result, the waves of the first sound involve oscillations of the temperature, while the waves of the second sound involve oscillations of the pressure.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Квантовые жидкости и квантовые кpисталлы
Optical generation of the first and second sounds in superfluid ³He-⁴He solutions
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Optical generation of the first and second sounds in superfluid ³He-⁴He solutions
spellingShingle Optical generation of the first and second sounds in superfluid ³He-⁴He solutions
Salikhov, T.Kh.
Квантовые жидкости и квантовые кpисталлы
title_short Optical generation of the first and second sounds in superfluid ³He-⁴He solutions
title_full Optical generation of the first and second sounds in superfluid ³He-⁴He solutions
title_fullStr Optical generation of the first and second sounds in superfluid ³He-⁴He solutions
title_full_unstemmed Optical generation of the first and second sounds in superfluid ³He-⁴He solutions
title_sort optical generation of the first and second sounds in superfluid ³he-⁴he solutions
author Salikhov, T.Kh.
author_facet Salikhov, T.Kh.
topic Квантовые жидкости и квантовые кpисталлы
topic_facet Квантовые жидкости и квантовые кpисталлы
publishDate 1999
language English
container_title Физика низких температур
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
format Article
description An optical method of generation of the first and second sounds in superfluid ³He - ⁴He solutions is proposed. The method is based on illumination by amplitude-modulated laser beam with wavelength corresponding to a region of absorption. Numerical calculations of pressure and temperature as a function of time are carried out. It was found that the presence of ³He isotopes in the solution provides strong coupling between these parameters and, as a result, the waves of the first sound involve oscillations of the temperature, while the waves of the second sound involve oscillations of the pressure.
issn 0132-6414
url https://nasplib.isofts.kiev.ua/handle/123456789/139036
citation_txt Optical generation of the first and second sounds in superfluid ³He-⁴He solutions / T.Kh. Salikhov // Физика низких температур. — 1999. — Т. 25, № 10. — С. 1021-1026. — Бібліогр.: 12 назв. — англ.
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last_indexed 2025-11-25T22:54:41Z
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U>5�O:;K0�C>5T\�hGc�È�5BA�\,.�DeA*.K.�Q�z65S;=<�A�; � 0,.@z�Q�O*< .=zSA�\ \s5*Jf;=<�A*2�;=<>5IJKA*L�0vQR.fD'FE;K<�5NO�h[\o0�2�L�JK0�O*A�\�O:D'2�;KA*0,2'5*Juc ~�A*g�0,2PW�;=<'5�3BAT2�g'5�\1;KJKA*2�.�F 5nJ�DPF �E¦�.�cf§:©�ªSA*2�Lw§:¬�ª ?B0�;=<�J�5*.=UH5:O�;@;�D � �__ ′( ��½�� ) = ∫� ∞ �__ ′( � 9 � )� � ( � � ) �� � 9 §'aPaTª ?B<�5*J�5 � � 0,. ;=<'5 �E5n.K.q5T\ F QR2'O�;=0oDP2�9 A*2�L �__ ′( �%½�� ) = �__ ′( �:½�� ) DPJf�__′( �%½�� ) 9�?65SDTl�;KAT0�2 ∂ � __ ′ ∂ � � + �&����;�      a + ρ� ρ� β� + α � β � �� σ __      __ ′ − − ρ � β � � � ���� Ó���F� � � σ __ �__ ′ = − α � � β � Ó� ϕ Ó � � σ � ∂ϕ ∂ � 9 §'aX}�ª ∂ � �__′ ∂ � � + � ������    a − α ¤ β � Ó� σ __    �__ ′ + � � � � ρ ��� �      α ¤ ( � Ó� − � � � ) + + ρ� ρ � α ¤ β ��� Ó� − ρ� ρ � βσ __ + βα ¤� � �� � �� σ __      �__ ′ = = α � � ϕ Ó (� ) ρ � σ ��� � (σ __ − βα ¤ � Ó� ) ∂ϕ ∂ � c §'a¨�[ª 8�;�0�.�A*. .�Q�z�5*LV;=<�A�;4� ′( � ) → � A*2�L ∂ � ′( � )6 ∂ � → ´ A*. � → ∞ c[Èm5BAH\o.qD�Q�.�56;K<�5B2>DT;KA*;K0�D�2 ϕ Ó (� ) = ∫� ∞ ϕ Ó ( � )� � ( ��� ) ����� = a } π 5:�[U (− � ��� � 6 ¬ ) c §'a¨�[ª È�54?B0 \ \/O:D�2�.K0�L�5*JS; ?�DxOnA*.q5n.��10,2�.�;=A*2>;=A*2H5:D'Q�.�.q?B0�; O*<�7 0,2'W�AT2�L�<�A*J�z6D�2�0�O*A�\f\oA�?4c �����'����� ��� �! �I �" ��#8�2¸;=<>5ZO*A*. 5�DHF�0,2�.�;KA*2�;KA*2'5:D'Q�.w.�?B0o; O*<�0,2HW ϕ( � ) 0,. 5n¦>Q�A�\@;�Dx;=<>5Y365*A*C�0,.�0,L>5eQ�2�0�;�.�; 5*U�F Q[2'O�;=0�D'2 θ( � ) A*2�L0�;=.4;K0,zN5VL'5nJK0vC�A�;K0�C'5 0�.45*¦'QRA�\6;�DV;=<>5V»I0,JKA�O�F Q�2>O�;=0vD�2 δ( � ) c%$B.K0,2�W�;=<>5�� A*UR\oA�O�5�;=JKA*2�.KF DPJKzyD�F ��¦�.ncE§Ta:}�ª6A*2�L §'a¨�[ª �'& (( 9 � ) = ∫� ∞ � � 5���U (−(*� ) ) __ ′( � 9 � ) §'a:��ª ?B0�;K<S;=<>5�0,2>0�;=0,A�\�O:D�2�L�0�;K0�D�2�. � ′( � ½ � ) = � ′( ´ 9 � ) = ´ 9P?�5D'l�;=A*0�2 � Ó|Ó � & (( 9 � ) + � Ó � � & (( 9 � ) = − α�9� β � Ó� ϕ Ó (� ) � � σ � 9 §'a ³ ª � � Ó � & (( 9 � ) + � ��� � & (( 9 � ) = α�9� ϕ Ó ( � ) ρ � σ �D� � (σ __ − βα ¤ � �� ) 9 ?B<'5*J�56;=<>56O�D'5nF�F�0�O*0v5n2>;=.*� � ¸ A*J�5�L'5nF�0�2�5*L�A*. � Ó¡Ó = ( � + �F��� Ó�      a + ρ� ρ � β � + α ¤ β � �� σ __      9 � Ó � = − ρ � β ��� � � σ__ � Ó��� ����F� 9 � � Ó = � ���F� ρ �&� � × ×      α ¤ ( � Ó� − � �� ) + ρ� ρ � α ¤ β ���&�� − ρ� ρ � βσ __ + βα �� � ��.� �� σ __      9 � �F� = ( � + �F��� ��    a − α¤ β � �� σ __    c ~�<�5N.�hH.q; 5*z�DPF�\o0�2�5*A*JE5*¦'Q�A�;K0�D�2�.�§'a ³ ª/<�A*.fAN. D>\sQ>;=0�D�2�0,F� Ó¡Ó � �F� − � Ó � � � � = � cE~ <�0�.6O�DP2�L�0�;K0�DP2 OnA*2 l�5eJq5:?SJ 0�;K7 ; 5*2�A*. ( ^ + ( ���F� ( � Ó� + � �� + ρ� ρ+ β ��� �� ) + � ^ � Ó� � �� = ´ c §'a:©�ª ~�<�5 JqD'DT;=. DPF �E¦Gc±§�a:©�ª OnA*2 l�5 F DTQ�2�L A�. ( Ó¡Õ �� = − � �-, Ó¡Õ �� , Ó� = ����      a + � Ó� � Ó� − � �� ρ� ρ+ β�      9 §'a:¬�ª , �� = � ��      a + � Ó� � Ó� − � �� ρ� ρ+ β�      − Ó 9 §'a:·�ª =¨Ò > Ò Ó Ð ?HÒ > Ó%Ò Ó=ÎGË�@DA#B�@�C�Ð E G�C�Ön×�Ø*Ø�ØPÖ�ÕnÌI<�JTÖ ?�Ô@×I: ×I:�</. ?B<�5*J�5 , Ó|Õ � ATJ�5�;=<'56C'5�\sD'O*0v;=0�5*.fD�F�;=<>56F�0,J .�;/A*2�L�. 5�O�DP2�L . D�QR2>L�.n9�J 5*. UH5:O�;=0�C>5T\�hGc68�;�.K<'D'Q[\oL�l�5ºz�5n2>;=0vD�2'5*L`;=<�A�; ?65 <�A�C�5 .�0,zSU�\o0�F�0�5nL`5��[U�J�5n.�.=0vD�2�.�F D�J ( Ó¡Õ �� Q�. 0,2HWm;=<'5 .=zSA�\ \¥U�A*JKA*z65�; 5*J (ρ� 6 ρ + )β ����� aTc�- .qD�\sQ�;K0�DP2 D'F ��¦GcG§'a ³ ªN0,.fW�0�C'5*24l�h � & (( 9 � ) = − α� � β � Ó� � � σ � ϕ Ó (� )( � (( � − � �� )(( � − ( �� ) 9 §:} ´ ª � & (( 9 � ) = α�9� ϕ Ó (� ) ρ � σ �.� � ( � (σ __ − α ¤ β � Ó� ) + σ __ �;��� Ó� (( � − � Ó� )(( � − ( �� ) c §:}[aTª ~�D¤F�0�2�Ly� ′( � 9 � ) A*2�L � ′( � 9 � ) DH2H5£. <>DTQG\,LiQ�.�5�;=<'5 0,2�C'5*JK.�5S��ATU�\,A�O:56A*2�L43�A*2�g�5�\[;=J�A*2�.�F DHJ�zB.�D�F#� ¦�.uc�§:} ´ ªAT2�L�§:}�aTª�c�~�<'540,2�C'5*JK.�5���A�U�\oA�O�5�;KJKA*2�.KF DPJKziW�0�C'5*.BJ�0,.�5 ; D �__ ′( � ½ � ) = − α� � β � Ó� ϕ Ó (� ) � � σ � a } π ∫ σ− � ∞ σ+ � ∞ � ( ( � 5��[U ((*� ) (( � − ( Ó� )(( � − � �� ) = = − α�9� β � Ó� , Ó � � σ � ( , Ó� − , �� )    .�0,2 (��� Ó � ) − , �, Ó ��� ( � , � � )    ϕ Ó ( � ) � 9 §:}P}�ª �__ ′( �%½�� ) = α�9� σ __ ρ � σ ��� � , � × ×    ( a + � � ) ��� (� , � � ) − � Ó , �� Ó .�0,2 ( � , Ó � )  ϕ Ó (� ) � 9 §:}T�[ª ?B<�5*J�5 � Ó = � Ó� (α � β � Ó� − σγ ___ ) σ __ ( � �� − , �� ) 9 � � = � Ó� (α � β � �� − σγ ___ ) σ __ ( � �� − , �� ) 9 §:}T�[ª γ _ = � Ó� �&�� − � �� ρ� ρ � β � = , Ó� − � �� � Ó� = � �� − , �� , �� 8 ´ c $ . 0�2�W ;K<�5x3BA*2�g'5�\@;=J�A*2�.�F 5nJMDPF � ¦�.�c@§%}'}�ª�AT2�L�§:}��[ª*9 ?65BO*A*24?BJ�0�; 5 ′( � 9 � ) = − α� � β � Ó� , Ó � � σ � ( , Ó� − , � � ) × × ∫� ∞ � � � � (� � )ϕ � ( � )    .K0,2 (� , � � ) − , �, Ó .K0,2 (� , � � )    9 §:}'��ª � ′( � 9 � ) = α� � σ __ ρ �.�#� σ � , � × ×∫� ∞ ��� � � (�/� )ϕ Ó (� )    ( a + � � ) � �� ( � , � � ) − � Ó , �, Ó .=0�2 ( � , Ó � )  � §:} ³ ª 8 Ff?N5 .X5T;/0 2��E¦Gc[§:}T��ª , Ó� ≈ � �� 9�?�5BD�l�;=A�0s2 γ _ = � 9�� � = α ¤ β � Ó� , �� σ __ ( , Ó� − , �� ) = � 9�� Ó = � , Ó� , �� 9 §:}'©�ª A*2�L � ¦�c�§:} ³ ª«OnA�24l�56?BJK0v; ;�5n2�AT. � ′( � 9 � ) = α� � σ __ ρ � � � σ ��� � × ×∫� ∞ � � � � (� � )ϕ � (� )  ( a + � ) .K0�2 ( � , � � ) − � , Ó � � ���� ( � , Ó � )  c §:}'¬�ª ~�<�5NF�0,JK.�;f; 5*J z¸0�2��E¦Gc�§:}'��ªfO:D'JKJ�5*.=UHDH2>L�.�; D�0�zBU'QG\,.�5NDPF ;=<>5BF�0,JK.q;�.�D'Q�2�LG9�A*2�L�;=<'5�.�5�O:D�2�L�; 5*J=z|O:D'J=Jq5n.KU'D�2�L�./;�D ;=<>5¸C�A*JK0�A*;=0vD�2­0,2k; 5*z6U>5nJ�A�; Q[J�5 D'FZ;K<'5rF�0�JK.�;�.�D'Q�2�L ?BA�C�5>cZ8�;rA�\�?BA�h�.r<�A�. A*2 D'U�UHDP.K0�; 5�U�<�A*.�5>c¥j�0,2'O�5 β ≈ ( � 6 ρ � )(∂ρ6 ∂ ) � ´ 9@;=<>5 A*zSU�\,0�; Q�L'5�D�F�;K<�5�F�0�J=.q; .�DTQ�2�LG9'� »£¼�� = − α� � β , �] 6 � � σ � ( � Ó� − , �� ) 9>0�.fA�\s?SA�h�. 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