Transport theory for cold relativistic superfluids from an analogue model of gravity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 77, Issue 10, 2008, Pages

  Mannarelli, Massimo ^a   Manuel, Cristina ^a  

^a INSTITUT DE CIÈNCIES DE L ESPAI CSIC IEEC   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 44449129444     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.77.103014     Document Type: Article

References (51)

1. L. Landau and Lifschitz, Fluid Mechanics (Pergamon Press, Oxford, 1987), Vol. 6.
2. I.M. Khalatnikov, Introduction to the Theory of Superfluidity (Benjamin, New York, 1965).
3. V.V. Lebedev and I.M. Khalatnikov, Zh. Eksp. Teor. Fiz. 56, 1601 (1982); ZETFA7 0044-4510
4. I.M. Khalatnikov and V.V. Lebedev, Phys. Lett. 91A, 70 (1982). PYLAAG 0375-9601 10.1016/0375-9601(82)90268-7
5. B. Carter, in Journeés Relativistes 1976, edited by, M. Cahen,,, R. Debever,, and, J. Geheniau, (Université Libre de Brussels, Brussels, 1976), pp. 12-27;
6. B. Carter in Journeés Relativistes 1979, edited by, I. Moret-Baily, and, C. Latremolière, (Faculté des Sciences, Anger, 1979), pp. 166-182;
7. B. Carter in A Random Walk in Relativity and Cosmology, Proceedings of the Vadya-Raychaudhuri Festschrift, IARG, 1983, pp. 48-62.
8. B. Carter and I.M. Khalatnikov, Phys. Rev. D 45, 4536 (1992). PRVDAQ 0556-2821 10.1103/PhysRevD.45.4536
9. B. Carter and D. Langlois, Phys. Rev. D 51, 5855 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.51.5855
10. D.T. Son, Int. J. Mod. Phys. A 16S1C, 1284 (2001). IMPAEF 0217-751X 10.1142/S0217751X01009545
11. D.T. Son, " Relativistic hydrodynamics of systems with spontaneous symmetry breaking: the Poisson bracket approach " (unpublished).
12. C. Pujol and D. Davesne, Phys. Rev. C 67, 014901 (2003). PRVCAN 0556-2813 10.1103/PhysRevC.67.014901
13. M.E. Gusakov, Phys. Rev. D 76, 083001 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.76.083001
14. M.A. Valle, Phys. Rev. D 77, 025004 (2008). PRVDAQ 0556-2821 10.1103/PhysRevD.77.025004
15. N. Bilic, Classical Quantum Gravity CQGRDG 0264-9381 16, 3953 (1999). 10.1088/0264-9381/16/12/312
16. W.G. Unruh, Phys. Rev. Lett. 46, 1351 (1981); PRLTAO 0031-9007 10.1103/PhysRevLett.46.1351
17. W.G. Unruh Phys. Rev. D 51, 2827 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.51.2827
18. C. Barcelo, S. Liberati, and M. Visser, Living Rev. Relativity 1433-8351 8, 12 (2005).
19. M. Stone, Phys. Rev. E 62, 1341 (2000). PLEEE8 1063-651X 10.1103/PhysRevE.62.1341
20. G.E. Volovik, Phys. Rep. 351, 195 (2001). PRPLCM 0370-1573 10.1016/S0370-1573(00)00139-3
21. V. Popov, Gen. Relativ. Gravit. GRGVA8 0001-7701 38, 917 (2006). 10.1007/s10714-006-0272-7
22. For reviews, see K. Rajagopal and F. Wilczek, arXiv:hep-ph/0011333;
23. M.G. Alford, Annu. Rev. Nucl. Part. Sci. ARPSDF 0163-8998 51, 131 (2001); 10.1146/annurev.nucl.51.101701.132449
24. G. Nardulli, Riv. Nuovo Cimento Soc. Ital. Fis. RNUCAC 0035-5917 25N3, 1 (2002);
25. S. Reddy, Acta Phys. Pol. B APOBBB 0587-4254 33, 4101 (2002);
26. T. Schäfer, arXiv:hep-ph/0304281;
27. D.H. Rischke, Prog. Part. Nucl. Phys. 52, 197 (2004); PPNPDB 0146-6410 10.1016/j.ppnp.2003.09.002
28. M. Alford, Prog. Theor. Phys. Suppl. 153, 1 (2004); PTPSEP 0375-9687 10.1143/PTPS.153.1
29. M. Buballa, Phys. Rep. 407, 205 (2005); PRPLCM 0370-1573 10.1016/j.physrep.2004.11.004
30. H.c. Ren, arXiv:hep-ph/0404074;
31. I. Shovkovy, Found. Phys. 35, 1309 (2005); FNDPA4 0015-9018 10.1007/s10701-005-6440-x
32. T. Schäfer, arXiv:hep-ph/0509068;
33. M. Alford and K. Rajagopal, arXiv:hep-ph/0606157;
34. M.G. Alford, A. Schmitt, K. Rajagopal, and T. Schafer, arXiv:0709.4635.
35. M.G. Alford, K. Rajagopal, and F. Wilczek, Nucl. Phys. NUPBBO 0550-3213 B537, 443 (1999). 10.1016/S0550-3213(98)00668-3
36. D.T. Son, arXiv:hep-ph/0204199.
37. C. Manuel, A. Dobado, and F.J. Llanes-Estrada, J. High Energy Phys. JHEPFG 1029-8479 09 (2005) 076. 10.1088/1126-6708/2005/09/076
38. C. Manuel and F. Llanes-Estrada, J. Cosmol. Astropart. Phys. 1475-7516 08 (2007) 001. 10.1088/1475-7516/2007/08/001
39. M.G. Alford, M. Braby, S. Reddy, and T. Schafer, Phys. Rev. C 75, 055209 (2007). PRVCAN 0556-2813 10.1103/PhysRevC.75.055209
40. I.A. Shovkovy and P.J. Ellis, Phys. Rev. C 66, 015802 (2002). PRVCAN 0556-2813 10.1103/PhysRevC.66.015802
41. D.F. Litim and C. Manuel, Phys. Rep. 364, 451 (2002). PRPLCM 0370-1573 10.1016/S0370-1573(02)00015-7
42. R.W. Lindquist, Ann. Phys. (N.Y.) APNYA6 0003-4916 37, 487 (1966); 10.1016/0003-4916(66)90207-7
43. J.M. Stewart, Non-equilibrium Relativistic Kinetic Theory (Springer-Verlag, New York, 1971).
44. M.G. Alford, J.A. Bowers, and K. Rajagopal, Phys. Rev. D 63, 074016 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.63.074016
45. J.A. Bowers, J. Kundu, K. Rajagopal, and E. Shuster, Phys. Rev. D 64, 014024 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.64.014024
46. J.A. Bowers and K. Rajagopal, Phys. Rev. D 66, 065002 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.065002
47. K. Rajagopal and R. Sharma, Phys. Rev. D 74, 094019 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.094019
48. R. Casalbuoni, R. Gatto, M. Mannarelli, and G. Nardulli, Phys. Lett. B 511, 218 (2001); PYLBAJ 0370-2693 10.1016/S0370-2693(01)00645-1
49. R. Casalbuoni, E. Fabiano, R. Gatto, M. Mannarelli, and G. Nardulli, Phys. Rev. D 66, 094006 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.094006
50. M. Mannarelli, K. Rajagopal, and R. Sharma, Phys. Rev. D 76, 074026 (2007); PRVDAQ 0556-2821 10.1103/PhysRevD.76.074026
51. M. Mannarelli K. Rajagopal R. Sharma in QCD@WORK 2007: International Workshop on Quantum Chromodynamics: Theory and Experiment, edited by, P. Colangelo,,, AIP Conf. Proc. No. 964 (AIP, New York, 2007), p. 264.