Shear Viscosity of a Superfluid Dipolar Gas at Low Temperatures

M. Khademi Dehkordi

Falavarjan Branch, Islamic Azad University, Isfahan, Iran.

DOI: 10.4236/wjcmp.2014.41007                

Abstract

We compute the shear viscosity of superfluid Bose and Fermi gases on the base of Boltzmann equation and relaxation times. We show that, in the low temperature limit, the shear viscosities of Bose and Fermi gases are proportional to T^-1e^vp₀/T and T^-4, respectively. For the superfluid Bose gas at low temperature limit, only splitting processes contribute to the shear viscosity.

Keywords

Shear Viscosity; Superfluid Dipolar Gases

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	L. Santos, G. V. Shlyapnikov, P. Zoller and M. Lewenstein, Physical Review Letters, Vol. 85, No. 9, 2000, pp. 1791-1794.
[2]	M. W. Mancini et al., “Observation of Ultracold GroundState Heteronuclear Molecules,” Physical Review Letters, Vol. 92, No. 13, 2004, Article ID: 133203. http://dx.doi.org/10.1103/PhysRevLett.92.133203
[3]	M. Greiner, C. A. Regal and D. S. Jin, “Observation of Bose-Einstein Condensation of Molecules,” Physical Review Letters, Vol. 91, No. 25, 2003, Article ID: 250401. http://dx.doi.org/10.1103/PhysRevLett.91.250401
[4]	U. Eckern, “Relaxation Processes in a Condensed Bose Gas,” Journal of Low Temperature Physics, Vol. 54, No. 3-4, 1984, pp. 333-359. http://dx.doi.org/10.1007/BF00683281
[5]	G. Rupak and T. Schafer, “Shear Viscosity of a Superfluid Fermi Gas in the Unitarity Limit,” Physical Review A, Vol. 76, No. 5, 2007, Article ID: 053607. http://dx.doi.org/10.1103/PhysRevA.76.053607
[6]	M. G. Alford, M. Braby and A. Schmitt, “Bulk Viscosity in Kaon-Condensed Color-Flavor-Locked Quark Matter,” Journal of Physics G, Vol. 35, No. 11, 2008, Article ID: 115007. http://dx.doi.org/10.1088/0954-3899/35/11/115007
[7]	M. Mannarelli and C. Manuel, Physical Review D, Vol. 81, 2010, Article ID: 043002.
[8]	M. G. Alford, M. Braby and A. Schmitt, “Critical Temperature for Kaon Condensation in Color-Flavor-Locked Quark Matter,” Journal of Physics G, Vol. 35, No. 2, 2008, Article ID: 025002. http://dx.doi.org/10.1088/0954-3899/35/2/025002
[9]	D. N. Aguilera, V. Cirigliano, J. A. Pons, S. Reddy and R. Sharma, “Superfluid Heat Conduction and the Cooling of Magnetized Neutron Stars,” Physical Review Letters, Vol. 102, No. 9, 2009, Article ID: 091101. http://dx.doi.org/10.1103/PhysRevLett.102.091101
[10]	M. Braby, J. Chao and T. Schaefer, Physical Review C, Vol. 81, 2010, Article ID: 045205.
[11]	T. Schafer and D. Teaney, Reports on Progress in Physics, Vol. 72, 2009, Article ID: 126001.
[12]	K. M. O. Hara, S. L. Hemmer, M. E. Gehm, S. R. Granade and J. E. Thomas, Science, Vol. 298, No. 5601, 2002, p. 2179. http://dx.doi.org/10.1126/science.1079107
[13]	T. R. Kirkpatrick and J. R. Dorfman, “Transport Theory for a Weakly Interacting Condensed Bose Gas,” Physical Review A, Vol. 28, No. 4, 1983, p. 2576. http://dx.doi.org/10.1103/PhysRevA.28.2576
[14]	J. M. Doyle and B. Friedrich, Nature (London), Vol. 401, 1999, p. 749. http://dx.doi.org/10.1038/44479
[15]	J. M. Sage, S. Sainis, T. Bergeman and D. DeMille, “Optical Production of Ultracold Polar Molecules,” Physical Review Letters, Vol. 94, No. 20, 2005, Article ID: 203001. http://dx.doi.org/10.1103/PhysRevLett.94.203001
[16]	L. P. Kadanoff and G. Baym, “Quantum Statistical Mechanics,” Benjamin, New York, 1962, Chapter 6.
[17]	E. M. Lifshitz and L. P. Pitaevskii, “Physical Kinetics,” Elsevier, 1987.
[18]	C. Manuel, A. Dobado and F. J. Llanes-Estrada, “Journal of High Energy Physics,” 2005.
[19]	M. K. Dehkordi, M. A. Shahzamanian, M. R. Abolhasani and M. Elahi, Journal of Physics: Conference Series, Vol. 400, 2012, Article ID: 012029. http://dx.doi.org/10.1088/1742-6596/400/1/012029
[20]	T. Schafer, “Ratio of Shear Viscosity to Entropy Density for Trapped Fermions in the Unitarity Limit,” Physical Review A, Vol. 76, No. 6, 2007, Article ID: 063618. http://dx.doi.org/10.1103/PhysRevA.76.063618
[21]	M. Alford, M. Braby and S. Mahmoodifar, “Shear Viscosity from Kaon Condensation in Color-Flavor-Locked Quark Matter,” Physical Review C, Vol. 81, No. 2, 2010, Article ID: 025202. http://dx.doi.org/10.1103/PhysRevC.81.025202