Eur. Phys. J. Plus (2016) 131: 178
https://doi.org/10.1140/epjp/i2016-16178-3

Regular Article

Shear viscosity of quasi-2D dipolar Bose-Fermi mixtures with long-range 1/r interactions

Department of Physics, University of Isfahan, 81746, Isfahan, Iran

^* e-mail: h.yavary@sci.ui.ac.ir

Received: 12 January 2016
Revised: 27 April 2016
Accepted: 2 May 2016
Published online: 30 May 2016

Abstract

Low-temperature shear viscosity of a spin polarized two-component quasi-2D dipolar Fermi gas with long-range 1/r interaction in the Bose-Einstein condensation (BEC) limit, where the system can be considered as dimers and the unpaired fermions, is calculated by means of the Kubo formalism. By taking into account the dimer-atom, dimer-dimer, and atom-atom interactions in the self-energies the viscous relaxation time is determined. Since the relaxation rates due to these interactions , and varies, respectively, as , , and T in the low-temperature limit , the dimer-atom and atom-atom interactions play the dominant role to the shear viscosity and the shear viscosity varies as . For small polarization the effect of dimer-dimer interaction is important , and the shear viscosity changes as the standard behviour. In this case, the temperature behavior of the dimer relaxation rate unaffected by 1/r interaction and the contact, dipole-dipole, and 1/r interactions play the same role in the temperature dependence of the shear viscosity. Our results have important consequences for developing experiments and theoretical researches on the transport properties of ultracold gases with repulsive or attractive long range 1/r interaction.