Dynamics of vortices and interfaces in superfluid 3He

Reports on Progress in Physics

Volumn 69, Issue 12, 2006, Pages

  Finne, A P ^a   Eltsov, V B ^a,b   Hanninen R ^a,d   Kopnin, N B ^a,c   Kopu, J ^a   Krusius, M ^a   Tsubota, M ^d   Volovik, G E ^a,c  

^a AALTO UNIVERSITY   (Finland)

^b KAPITZA INSTITUTE FOR PHYSICAL PROBLEMS   (Russian Federation)

^c LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^d Osaka City University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846097751     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/69/12/R03     Document Type: Review

References (157)

1. Vinen W F 1961 Vortex lines in liquid helium II Progress in Low Temperature Physics vol III ed C J Gorter (Amsterdam: Elsevier) pp 1-57
2. Vinen W F and Niemela J 2002 Quantum turbulence J. Low Temp. Phys. 128 167
3. Vollhardt D and Wölfle P 1990 The Superfluid Phases of Helium 3 (London: Taylor and Francis)
4. Volovik G E 2003 The Universe in a Helium Droplet (Oxford, UK: Oxford University Press)
5. 3He Rev. Mod. Phys. 59 533
6. Salomaa M M and Volovik G E 1988 60 573 (erratum)
7. 3He and analogies in quantum field theory Progress in Low Temperature Physics vol XV ed W P Halperin (Amsterdam: Elsevier) pp 1-137
8. Eltsov V B, Krusius M and Volovik G E 2006 Transition to superfluid turbulence J. Low Temp. Phys. 145 at press (Preprint cond-mat/0608537)
9. Kopnin N B and Salomaa M M 1991 Mutual friction in superfluid Helium-3: Effects of bound states in the vortex core Phys. Rev. B 44 9667
10. 3He at low temperatures Physica B 210 267
11. Kopnin N B and Lopatin A V 1997 Two relaxation times in mutual friction of superfluid He-3 Phys. Rev. B 56 766
12. Kopnin N B 2002 Vortex dynamics and mutual friction in superconductors and Fermi superfluids Rep. Prog. Phys. 65 1633
13. 3He-B Phys. Rev. Lett. 86 244
14. 4He at mK temperatures around an oscillating microsphere J. Low Temp. Phys. 135 447
15. 3He-B: A precursor to quantum turbulence Phys. Rev. Lett. 95 035302
16. 3He-B Phys. Rev. Lett. 70 1846
17. 3He-B Phys. Rev. Lett. 86 244
18. 3He illuminated by a beam of quasiparicle excitations Phys. Rev. Lett. 93 235302
19. 3He-B Phys. Rev. Lett. 96 035301
20. 3He experimentum crucis for Dark Matter puzzles Preprint astro-ph/0606350
21. 4He with no normal component J. Low Temp. Phys. Proc. Int. Conf. Quantum Fluids and Solids - QFS2006 at press
22. 4He Quantized Vortex Dynamics and Superfluid Turbulence ed C F Barenghi et al (Berlin: Springer)
23. Korshunov S E 1991 Instability of superfluid helium free surface in the presence of heat flow Europhys. Lett. 16 673
24. Korshunov S E 2002 Analog of Kelvin-Helmholtz instability on a free surface of a superfluid liquid JETP Lett. 75 423
25. Mastrano A and Melatos A 2005 Kelvin-Helmholtz instability and circulation transfer at an isotropic-anisotropic superfluid interface in a neutron star Mon. Not. R. Astron. Soc. 361 927
26. Abanin D A 2003 Surface instability of a multi-component condensate and Andreev-Bashkin effect JETP Lett. 77 191
27. Finne A P, Araki T, Blaauwgeers R, Eltsov V B, Kopnin N B, Krusius M, Skrbek L, Tsubota M and Volovik G E 2003 An intrinsic velocity-independent criterion for superfluid turbulence Nature 424 1022
28. Tilley D R and Tilley J 1990 Superfluidity and Superconductivity 3rd edn (Bristol, UK: Institute of Physics Publishing)
29. Donnelly R J 1991 Quantized Vortices in Helium II (Cambridge, UK: Cambridge University Press)
30. 3He-B Phys. Rev. Lett. 53 584
31. 3B Phys. Rev. Lett. 56 359
32. 3He-B JETP Lett. 35 416
33. 3He-B Phys. Rev. Lett. 68 3331
34. 3He-B Phys. Rev. B 47 8868
35. 3He Phys. Rev. Lett. 36 594
36. 3He Phys. Rev. Lett. 36 832 (erratum)
37. 3He-A Nature 404 471
38. 3He-A Phys. Rev. Lett. 75 3320
39. 3He-A Phys. Rev. B 60 15290
40. 3He-A Phys. Rev. Lett. 72 3839
41. 3He-A Physica B 210 311
42. 3He superfluids Topological Defects and the Non-Equilibrium Dynamics of Symmetry-Breaking Phase Transitions Proc. Nato Advanced Study Institute-Series C vol 549 ed Y M Bunkov and H Godfrin (Dordrecht: Kluwer) pp 325-44
43. Onsager L 1949 Nuovo Cimento Suppl. 2 6 249
44. Feynman R P 1955 Application of quantum mechanics to liquid helium Progress in Low Temperature Physics vol 1 ed C J Gorter (Amsterdam: North-Holland) pp 17-53
45. 3He Sov. Phys.-JETP 44 766
46. 3He Phys. Rev. Lett. 38 508
47. 3He-B Physica B 255 27
48. 3He-B Phys. Rev. B 47 15113
49. 3He-B J. Low Temp. Phys. 107 93
50. 3He-B Europhys. Lett. 31 449
51. Soininen P I and Kopnin N B 1994 Stability of superflow Phys. Rev. B 49 12087
52. Packard R E 1998 The role of the Josephson-Anderson equation in superfluid helium Rev. Mod. Phys 70 641
53. Vinen W F 1963 Liquid Helium: Proc. Enrico Fermi Int. School of Physics, Course XXI ed G Careri (New York: Academic) pp 336-55
54. Langer J S and Reppy J D 1970 Intrinsic critical velocities in superfluid helium Progress in Low Temperature Physics vol VI ed C J Gorter (Amsterdam: Elsevier) pp 1-35
55. Hendry P C, Lawson N S, McClintock P V E, Williams C D H and Bowley R M 1988 Macroscopic quantum tunneling of vortices in He II Phys. Rev. Lett. 60 604
56. 4He Topological Defects and the Non-Equilibrium Dynamics of Symmetry-breaking Phase Transitions Proc. Nato Advanced Study Institute-Series C vol 549 ed Y M Bunkov and H Godfrin (Dordrecht: Kluwer) pp 303-23
57. 4He Phys. Rev. Lett. 69 323
58. 4He through an orifice Phys. Rev. Lett. 69 327
59. Awschalom D D and Schwarz K W 1984 Observation of a remanent vortex-line density in superfluid helium Phys. Rev. Lett. 52 49
60. 3He-B J. Low Temp. Phys. at press (Preprint cond-mat/0607323)
61. 3He-A Phys. Rev. Lett. 75 3320
62. Ruutu V M H, Kopu J, Krusius M, Parts Ü, Placais B, Thuneberg E V and Xu W 1997 Critical velocity of vortex nucleation in rotating superfluid 3He-A Phys. Rev. Lett. 79 5058
63. 3He-A Phys. Rev. Lett. 91 225301
64. 3He-A in the presence of superflow Phys. Rev. B 20 963
65. Eltsov V B, Blaauwgeers R, Kopnin N B, Krusius M, Ruohio J J, Schanen R and Thuneberg E V 2002 Transitions from vortex lines to sheets: Interplay of topology and dynamics in an anisotropic superfluid Phys. Rev. Lett. 88 65301
66. Kopu J, Hänninen R and Thuneberg E V 2000 One-dimensional textures and critical velocity in superfluid 3He-A Phys. Rev. B 62 12374
67. 3He-A Phys. Rev. Lett. 93 195301
68. Blaauwgeers R, Eltsov V B, Eska G, Finne A P, Haley R P, Krusius M, Ruohio J J, Skrbek L and Volovik G E 2002 Shear flow and Kelvin-Helmholtz instability in superfluids Phys. Rev. Lett. 89 155301
69. 3He superfluids Phys. Rev. Lett. 90 225301
70. 3He-B Phys. Rev. Lett. 71 2951
71. 3He Physica B 197 376
72. Khalatnikov I M 1965 An Introduction to the Theory of Superfluidity (New York: Benjamin)
73. Kopnin N B 2001 Theory of nonequilibrium superconductivity (Oxford: Oxford University Press)
74. Hall H E and Vinen W F 1956 The rotation of liquid helium II: II. The theory of mutual friction in uniformly rotating helium II Proc. R. Soc. Lond. Ser. A 238 215
75. 3He J. Low Temp. Phys. 109 423
76. 3He-B Phys. Rev. Lett. 74 750
77. 3He-B Phys. Rev. Lett. 74 3092 (erratum)
78. 3He-A at low temperatures Phys. Rev. B 47 14354
79. Donnelly R J and Barenghi C F 1998 The observed properties of liquid helium at the saturated vapor pressure J. Phys. Chem. Ref. Data 27 1217
80. Sonin E B 1987 Vortex oscillations and hydrodynamics of rotating superfluids Rev. Mod. Phys. 59 87
81. Swanson C E, Barenghi C F and Donnelly R J 1983 Rotation of a tangle of quantized vortex lines in He II Phys. Rev. Lett. 50 190
82. Glaberson W I, Johnson W W and Ostermeyer R M 1974 Instability of a vortex array in He II Phys. Rev. Lett. 33 1197
83. Ostermeyer R M and Glaberson W I 1975 Instability of vortex lines in the presence of axial nomal flow J. Low Temp. Phys. 21 191
84. Tsubota M, Araki T and Barenghi C F 2003 Rotating superfluid turbulence Phys. Rev. Lett. 90 205301
85. Sonin E B and Krusius M 1994 Vortex dynamics in superfluids and superconductors The Vortex State ed N Bontemps et al (Dordrecht: Kluwer)
86. Barenghi C F, Donnelly R J and Vinen W F 1985 Thermal excitation of waves on quantized vortices Phys. Fluids 28 498
87. Malik K A and Matravers D R 2003 The Kelvin-Helmoltz instability in an expanding Universe and its effect on dark matter Astron. Astrophys. 406 37
88. Chandrasekhar S 1981 Hydrodynamic and Hydromagnetic Stability (New York: Dover)
89. Lamb H 1945 Hydrodynamics (New York: Dover)
90. Lord Kelvin 1910 Hydrodynamics and General Dynamics vol 4 (Cambridge, UK: Cambridge University Press) (Sir William Thomson)
91. Lord Rayleigh 1899 Scientific Papers vol 1 (Cambridge, UK: Cambridge University Press) (J W Strutt)
92. Birkhoff G 1962 Helmholtz and Taylor instability Hydrodynamic Instability vol XIII (Providence, RI, USA: American Mathematical Society) pp 55-76
93. 3He Phys. Rev. Lett. 81 618
94. 3He Phys. Rev. Lett. 69 120
95. Volovik G E 2002 On Kelvin-Helmholtz instability in superfluids JETP Lett. 75 418
96. Ruokola T and Kopu J 2005 Kelvin-Helmholtz instability in anisotropic superfluids JETP Lett. 81 634
97. Andersson N, Comer G L and Prix R 2002 The superfluid two-stream instability and pulsar glitches Preprint astro-ph/0211151
98. Andersson N, Comer G L and Prix R 2003 Are pulsar glitches triggered by a superfluid two-stream instability? Phys. Rev. Lett. 90 091101
99. Landau L D and Lifshitz E M 1987 Fluid Mechanics 2nd edn (Oxford, UK: Pergamon)
100. Kopnin N B 1987 Movement of the interface between the A and B phases in superfluid helium-3:linear theory Sov. Phys.-JETP 65 1187
101. 3He-B in the supercooled A-phase Helium Three ed W P Halperin and L P Pitaevskii (Netherlands: Elsevier) pp 523-607
102. 3He A-B phase boundary Phys. Rev. Lett. 57 345
103. Volovik G E 2002 Black-hole horizon and metric singularity at the brane separating two sliding superfluids JETP Lett. 76 240
104. Schützhold R and Unruh W G 2002 Gravity wave analogs of black holes Phys. Rev. D 66 044019
105. Zhang J, Childress S, Libchaber A and Shelley M 2000 Flexible filaments in a flowing soap film as a model of one-dimensional flags in a two-dimensional wind Nature 408 835
106. Madison K W, Chevy F, Bretin V and Dalibard J 2001 Stationary states of a rotating Bose-Einstein condensate: routes to vortex nucleation Phys. Rev. Lett. 86 4443
107. Sinha S and Castin Y 2001 Dynamic instability of a rotating Bose-Einstein condensate Phys. Rev. Lett. 87 190402
108. Aranson I S, Kopnin N B and Vinokur V M 2001 Dynamics of vortex nucleation by rapid thermal quench Phys. Rev. B 63 184501
109. 3He-B J. Low Temp. Phys. 136 249
110. 3He Physica B 329-333 96
111. 3He-B J. Low Temp. Phys. 91 315
112. 4He J. Low Temp. Phys. 90 243
113. 3He-B J. Low Temp. Phys. 138 567
114. Faber T E 1995 Fluid Dynamics for Physicists (Cambridge: Cambridge University Press)
115. Hof B, Juel A and Mullin T 2003 Scaling of the turbulence transition threshold in a pipe Phys. Rev. Lett. 91 244502
116. Frisch U 1995 Turbulence: The Legacy of A N Kolmogorov (Cambridge: Cambridge University Press)
117. Kopnin N B 2004 Vortex instability and the onset of supefluid turbulence Phys. Rev. Lett. 92 135301
118. Vinen W F 1957 Mutual friction in heat current in liquid helium II: III. Theory of the mutual friction Proc. R. Soc. Lond. Ser. A. 242 493
119. 4He: homogenous superfluid turbulence Phys. Rev. B 38 2398
120. Kivotides D and Leonard A 2003 Quantized turbulence physics Phys. Rev. Lett. 90 234503
121. Chatelain P, Kivotides D and Leonard A 2003 Reconnection of colliding vortex rings Phys. Rev. Lett. 90 054501
122. Nemirovskii S K 2006 Evolution of a network of vortex loops in He-II: exact solution of the rate equation Phys. Rev. Lett. 96 015301
123. Schwarz K W and Rozen J R 1991 Transient behavior of superfluid turbulence in a large channel Phys. Rev. B 44 7563
124. L'vov V S, Nazarenko S V and Volovik G E 2004 Energy spectrum of developed superfluid turbulence JETP Lett. 80 479
125. Kovásznay L S G 1947 J. Aeronaut. Sci. 15 745
126. Leith C 1967 Diffusion approximation to inertial energy transfer in isotropic turbulence Phys. Fluids 10 1409
127. Leith C 1968 Diffusion approximation for turbulent scalar fields Phys. Fluids 11 1612
128. Connaughton C and Nazarenko S 2004 Warm cascades and anomalous scaling in a diffusion model of turbulence Phys. Rev. Lett. 92 044501
129. Laval J P, Dubrulle B and Nazarenko S 2001 Non-locality and intermittency in 3D turbulence Phys. Fluids 13 1995
130. 3He Phys. Rev. B 71 24513
131. Skrbek L 2004 A flow phase diagram for helium superfluids JETP Lett. 80 474
132. Vinen W F 2000 Classical character of turbulence in a quantum liquid Phys. Rev. B 61 1410
133. L'vov V S, Nazarenko S V and Skrbek L 2006 Energy spectra of developed turbulence in helium superfluids J. Low Temp. Phys. 145 at press (Preprint nlin.CD/0606002)
134. 3He-B and its dependence on vortex injection in applied flow AIP Conf. Proc. 850 177
135. 3He-B J. Low Temp. Phys. 134 375
136. 3He-B J. Low Temp. Phys. 135 479
137. 3He as an analogue of cosmological defect formation Nature 382 334
138. Ruutu V M, Eltsov V B, Krusius M, Makhlin Y G, Plaçais B and Volovik G E 1998 Defect formation in quench-cooled superfluid transition Phys. Rev. Lett. 80 1465
139. Finne A P, Eltsov V B, Eska G, Hänninen R, Kopu J, Krusius M, Thuneberg E V and Tsubota M 2006 Vortex multiplication in applied flow: a precursor to superfluid turbulence Phys. Rev. Lett. 96 085301
140. 3He-B J. Low Temp. Phys. at press
141. Svistunov B V 1995 Superfluid turbulence in the low-temperature limit Phys. Rev. B 52 3647
142. Kivotides D, Vassilicos J C, Samuels D C and Barenghi C F 2001 Kelvin waves cascade in superfluid turbulence Phys. Rev. Lett. 86 3080
143. Eltsov V B, Finne A P, Hänninen R, Kopu J, Krusius M, Tsubota M and Thuneberg E V 2006 Twisted vortex state Phys. Rev. Lett. 96 215302
144. 4He: line-line and line-boundary interactions Phys. Rev. B 31 5782
145. 3He-B vortex simulations inside a rotating cylinder J. Low Temp. Phys. 138 589
146. Parker N G and Adams C S 2005 Emergence and decay of turbulence in stirred atomic Bose-Einstein condensates Phys. Rev. Lett. 95 145301
147. Kobayashi M and Tsubota M 2006 Thermal dissipation in quantum turbulence Phys. Rev. Lett. 97 145301
148. 3He-A J. Low Temp. Phys. 103 331-43
149. 3He-B at large counterflow velocity J. Low Temp. Phys. 120 213-32
150. 3He vortices PhD Thesis Helsinki Univesity of Technology
151. 3He-B J. Low Temp. Phys. 122 657
152. 3He-B Phys. Rev. B 15 199
153. 3He-B Physica B 90 20
154. 3He in restricted geometries J. Low Temp. Phys. 25 421
155. 3He-B J. Low Temp. Phys. 76 225
156. 3He-B Phys. Rev. Lett. 65 1211
157. 3He-B J. Low Temp. Phys. 146 at press