Bulk viscosities for cold Fermi superfluids close to the unitary limit TeX Export

@article{citeulike:4371815, abstract = {We compute the coefficients of bulk viscosity for a non-relativistic superfluid corresponding to a fermionic system close to the unitarity limit. We consider the low temperature regime assuming that the transport properties of the system are dominated by phonons. To compute the coefficients of bulk viscosity we use kinetic theory in the relaxation time approximation and the low energy effective field theory of the corresponding system. We show that the three independent bulk viscosity coefficients, \$\zeta\_1, \zeta\_2, \zeta\_3\$, associated with irreversible flows vanish for phonons with a linear dispersion law. Considering a phonon dispersion law with a cubic term in momentum we find that in the conformal limit \$\zeta\_1 = \zeta\_2=0\$, while \$\zeta\_3\$ is non-zero. Including a conformal breaking term which arises for a large but finite s-wave scattering length, \$a\$, at the leading order in \$1/a\$ we obtain that \$\zeta\_1 \propto 1/a\$ and \$\zeta\_2 \propto 1/a^2\$.}, archivePrefix = {arXiv}, author = {Escobedo, Miguel A. and Mannarelli, Massimo and Manuel, Cristina}, citeulike-article-id = {4371815}, citeulike-linkout-0 = {http://arxiv.org/abs/0904.3023}, citeulike-linkout-1 = {http://arxiv.org/pdf/0904.3023}, eprint = {0904.3023}, keywords = {fermi\_gas, unitary, viscosity}, month = {Apr}, posted-at = {2009-04-21 12:39:10}, priority = {3}, title = {Bulk viscosities for cold Fermi superfluids close to the unitary limit}, url = {http://arxiv.org/abs/0904.3023}, year = {2009} }

TY - JOUR ID - citeulike:4371815 L3 - citeulike-article-id:4371815 N2 - We compute the coefficients of bulk viscosity for a non-relativistic superfluid corresponding to a fermionic system close to the unitarity limit. We consider the low temperature regime assuming that the transport properties of the system are dominated by phonons. To compute the coefficients of bulk viscosity we use kinetic theory in the relaxation time approximation and the low energy effective field theory of the corresponding system. We show that the three independent bulk viscosity coefficients, $\zeta_1, \zeta_2, \zeta_3$, associated with irreversible flows vanish for phonons with a linear dispersion law. Considering a phonon dispersion law with a cubic term in momentum we find that in the conformal limit $\zeta_1 = \zeta_2=0$, while $\zeta_3$ is non-zero. Including a conformal breaking term which arises for a large but finite s-wave scattering length, $a$, at the leading order in $1/a$ we obtain that $\zeta_1 \propto 1/a$ and $\zeta_2 \propto 1/a^2$. TI - Bulk viscosities for cold Fermi superfluids close to the unitary limit KW - fermi_gas KW - unitary KW - viscosity AU - Escobedo, Miguel AU - Mannarelli, Massimo AU - Manuel, Cristina PY - 2009/Apr/20/ UR - http://arxiv.org/abs/0904.3023 ER -