Nonthermal fixed points, vortex statistics, and superfluid turbulence in an ultracold Bose gas

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 85, Issue 4, 2012, Pages

  Nowak, Boris ^a,b,c   Schole, Jan ^a,b   Sexty, Dénes ^a,b,c   Gasenzer, Thomas ^a,b,c  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

^b GSI HELMHOLTZZENTRUM FÜR SCHWERIONENFORSCHUNG GMBH   (Germany)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC EXCITATION; BOSE GAS; CONSERVATION LAW; EARLY UNIVERSE; FIXED POINTS; LONG WAVELENGTH; MOMENTUM DISTRIBUTIONS; NONPERTURBATIVE; NONTHERMAL; POWER LAW DISTRIBUTION; QUARK-GLUON PLASMA; SCALING BEHAVIOR; SCALING EXPONENT; SINGLE-PARTICLE; SPATIAL DIMENSION; STATISTICAL MODELS; SUPERFLUID TURBULENCE; THEORETICAL APPROACH; THERMAL EQUILIBRIUMS; TOPOLOGICAL EXCITATIONS; ULTRA-COLD; VORTEX ANNIHILATION; VORTEX EXCITATION; VORTEX STATISTICS; WAVE INTERACTIONS; WAVE TURBULENCE;

BOSONS; DYNAMICS; PLASMA DIAGNOSTICS;

VORTEX FLOW;

EID: 84860485813     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.85.043627     Document Type: Article

References (86)

1. U. Frisch, Turbulence: The Legacy of A. N. Kolmogorov (Cambridge University Press, Cambridge, UK, 1995).
2. L. F. Richardson, Proc. R. Soc. London A 1364-5021 10.1098/rspa.1920.0039 97, 354 (1920).
3. A. N. Kolmogorov, Dokl. Akad. Nauk. USSR 30, 299 (1941)
4. A. N. Kolmogorov, [Sov. Phys. Dokl. 10, 734 (1968)];
5. reprinted in Proc. R. Soc. London A, 434, 9 (1991).
6. A. M. Obukhov, Izv. Akad. Nauk S.S.S.R., Ser. Geogr. Geofiz. 5, 453 (1941).
7. R. Micha and I. I. Tkachev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.121301 90, 121301 (2003).
8. J. Berges, A. Rothkopf, and J. Schmidt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.041603 101, 041603 (2008).
9. J. Berges and G. Hoffmeister, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2008.12.017 813, 383 (2009).
10. J. Berges, S. Scheffler, and D. Sexty, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2009.10.032 681, 362 (2009).
11. C. Scheppach, J. Berges, and T. Gasenzer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.033611 81, 033611 (2010).
12. J. Berges and D. Sexty, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.83.085004 83, 085004 (2011).
13. P. B. Arnold and G. D. Moore, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.73.025006 73, 025006 (2006).
14. P. B. Arnold and G. D. Moore, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.73.025013 73, 025013 (2006).
15. A. H. Mueller, A. I. Shoshi, and S. M. H. Wong, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2006.10.023 760, 145 (2007). (Pubitemid 44817511)
16. M. Carrington and A. Rebhan, Eur. Phys. J. C EPCFFB 1434-6044 10.1140/epjc/s10052-011-1787-y 71, 1787 (2011).
17. K. Fukushima and F. Gelis, Nucl. Phys. A 0375-9474 10.1016/j.nuclphysa. 2011.11.003 874, 108 (2012).
18. B. Nowak, D. Sexty, and T. Gasenzer, Phys. Rev. B 1098-0121 10.1103/PhysRevB.84.020506 84, 020506 (R) (2011).
19. T. Gasenzer, B. Nowak, and D. Sexty, Phys. Lett. B 0370-2693 10.1016/j.physletb.2012.03.031 710, 500 (2012).
20. W. P. Halperin and M. Tsubota (editors), Progress in Low Temperature Physics Vol. 16: Quantum Turbulence (Elsevier, Amsterdam, 2008).
21. R. J. Donnelly, Quantized Vortices in Liquid He II (Cambridge University Press, Cambridge, 1991).
22. T.-L. Horng, C.-H. Hsueh, and S.-C. Gou, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.063625 77, 063625 (2008).
23. T.-L. Horng, C.-H. Hsueh, S.-W. Su, Y.-M. Kao, and S.-C. Gou, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.023618 80, 023618 (2009).
24. V. Yukalov, Las. Phys. Lett. 1612-2011 10.1002/lapl.201010009 7, 467 (2010).
25. C. J. Foster, P. B. Blakie, and M. J. Davis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.023623 81, 023623 (2010).
26. L. Onsager, Nuovo Cim. Suppl. NUCIAD 0029-6341 10.1007/BF02780991 6, 279 (1949).
27. R. P. Feynman, in Progress in Low Temperature Physics, edited by, C. J. Gorter, (North Holland, Amsterdam, 1955), Vol. 1, p. 17.
28. J. Maurer, and P. Tabeling, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1998-00314-9 43, 29 (1998).
29. S. R. Stalp, L. Skrbek, and R. J. Donnelly, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4831 82, 4831 (1999).
30. W. F. Vinen and J. J. Niemela, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1019695418590 128, 167 (2002).
31. C. Nore, M. Abid, and M. E. Brachet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.3896 78, 3896 (1997).
32. C. Nore, M. Abid, and M. E. Brachet, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869473 9, 2644 (1997). (Pubitemid 27502443)
33. T. Araki, M. Tsubota, and S. K. Nemirovskii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.145301 89, 145301 (2002).
34. M. Kobayashi and M. Tsubota, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.065302 94, 065302 (2005). (Pubitemid 40620779)
35. M. Kobayashi and M. Tsubota, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.74.3248 74, 3248 (2005). (Pubitemid 41810950)
36. M. Tsubota, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.77.111006 77, 111006 (2008).
37. G. Krstulovic and M. Brachet, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.066311 83, 066311 (2011).
38. E. Levich and V. Yakhot, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/ 11/11/011 11, 2237 (1978).
39. Y. Kagan, B. V. Svistunov, and G. V. Shlyapnikov, Zh. Eksp. Teor. Fiz. 101, 528 (1992)
40. Y. Kagan, B. V. Svistunov, and G. V. Shlyapnikov, [Sov. Phys. JETP 74, 279 (1992)].
41. Y. Kagan and B. V. Svistunov, Zh. Eksp. Teor. Fiz. 105, 353 (1994)
42. Y. Kagan and B. V. Svistunov, [Sov. Phys. JETP 78, 187 (1994)].
43. Y. Kagan and B. V. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3331 79, 3331 (1997).
44. N. G. Berloff and B. V. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.013603 66, 013603 (2002).
45. B. Svistunov, in Quantized Vortex Dynamics and Superfluid Turbulence, edited by, C. Barenghi, R. Donnelly, and, W. Vinen, (Springer, Berlin, 2001).
46. E. V. Kozik and B. V. Svistunov, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-009-9914-y 156, 215 (2009).
47. C. N. Weiler, T. W. Neely, D. R. Scherer, A. S. Bradley, M. J. Davis, and B. P. Anderson, Nature (London) NATUAS 0028-0836 10.1038/nature07334 455, 948 (2008).
48. E. A. L. Henn, J. A. Seman, G. Roati, K. M. F. Magalhães, and V. S. Bagnato, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.045301 103, 045301 (2009).
49. J. A. Seman, E. A. L. Henn, R. F. Shiozaki, G. Roati, F. J. Poveda-Cuevas, K. M. F. Magalhães, V. I. Yukalov, M. Tsubota, M. Kobayashi, K. Kasamatsu, and V. S. Bagnato, Laser Phys. Lett. 8, 691 (2011).
50. V. E. Zakharov, V. S. L'vov, and G. Falkovich, Kolmogorov Spectra of Turbulence I: Wave Turbulence (Springer-Verlag, Berlin, 1992).
51. S. Nazarenko, in Wave Turbulence, Lecture Notes in Physics, No. 825 (Springer, Heidelberg, 2011).
52. A. Newell, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev-fluid- 122109-160807 43, 59 (2011).
53. M. S. Paoletti, M. E. Fisher, K. R. Sreenivasan, and D. P. Lathrop, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.154501 101, 154501 (2008).
54. J. M. Luttinger and J. C. Ward, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.1417 118, 1417 (1960).
55. G. Baym, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.127.1391 127, 1391 (1962).
56. J. M. Cornwall, R. Jackiw, and E. Tomboulis, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.10.2428 10, 2428 (1974).
57. J. Berges, Nucl. Phys. A NUPABL 0375-9474 10.1016/S0375-9474(01)01295-7 699, 847 (2002).
58. For videos of the evolution, see [http://www.thphys.uni-heidelberg.de/ ~smp/gasenzer/videos/boseqt.html].
59. G. Aarts, D. Ahrensmeier, R. Baier, J. Berges, and J. Serreau, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.66.045008 66, 045008 (2002). (Pubitemid 44861190)
60. G. Eyink and K. Sreenivasan, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.87 78, 87 (2006). (Pubitemid 43279668)
61. P. Chavanis, Statistical Mechanics of Two-dimensional Vortices and Stellar Systems (Springer, Berlin, 2002).
62. V. L. Berdichevsky, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.51. 4432 51, 4432 (1995).
63. A. C. White, C. F. Barenghi, N. P. Proukakis, A. J. Youd, and D. H. Wacks, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.075301 104, 075301 (2010).
64. E. A. Novikov, Zh. Eksp. Teor. Fiz. 68, 1868 (1975)
65. E. A. Novikov, [Sov. Phys. JETP 41, 937 (1975)].
66. C. Lin, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.27.12. 570 27, 570 (1941).
67. S. K. Nemirovskii, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.57.5972 57, 5972 (1998).
68. S. K. Nemirovskii, M. Tsubota, and T. Araki, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1014251601742 126, 1535 (2002). (Pubitemid 34412466)
69. A. Chorin and J. Akao, Phys. D (Amsterdam, Neth.) PDNPDT 0167-2789 10.1016/0167-2789(91)90136-W 52, 403 (1991).
70. V. L. Berdichevsky, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.57. 2885 57, 2885 (1998).
71. V. L. Berdichevsky, Int. J. Eng. Sci. IJESAN 0020-7225 10.1016/S0020-7225(01)00022-2 40, 123 (2002). (Pubitemid 32833563)
72. S. Nemirovskii and L. Kondaurova, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/s10909-009-9893-z 156, 182 (2009).
73. J. B. Weiss, A. Provenzale, and J. C. McWilliams, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869709 10, 1929 (1998).
74. I. A. Min, I. Mezic, and A. Leonard, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868908 8, 1169 (1996).
75. P.-H. Chavanis and C. Sire, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1374937 13, 1904 (2001). (Pubitemid 32653205)
76. S. Nazarenko and M. Onorato, Phys. D (Amsterdam, Neth.) PDNPDT 0167-2789 10.1016/j.physd.2006.05.007 219, 1 (2006). (Pubitemid 44015932)
77. R. Numasato, M. Tsubota, and V. S. L'vov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.063630 81, 063630 (2010).
78. S. Khlebnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.063606 66, 063606 (2002).
79. K. E. Daniels and E. Bodenschatz, Chaos CHAOEH 1054-1500 10.1063/1.1536330 13, 55 (2003). (Pubitemid 36419901)
80. D. Proment, S. Nazarenko, and M. Onorato, Physica D: Nonlin. Phen. 0167-2789 10.1016/j.physd.2011.06.007 241, 304 (2012).
81. M. Leadbeater, T. Winiecki, D. C. Samuels, C. F. Barenghi, and C. S. Adams, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1410 86, 1410 (2001). (Pubitemid 32873602)
82. N. G. Berloff and A. J. Youd, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.145301 99, 145301 (2007). (Pubitemid 47549451)
83. M. Schick, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.1067 3, 1067 (1971).
84. D. S. Fisher and P. C. Hohenberg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.4936 37, 4936 (1988).
85. M. D. Lee, S. A. Morgan, M. J. Davis, and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043617 65, 043617 (2002).
86. D. S. Petrov, M. Holzmann, and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2551 84, 2551 (2000).