Mutual-Friction Coefficients in Two-Dimensional Superfluids: From the Gross-Pitaevskii equation to the Hall-Vinen-Bekharevich-Khalatnikov Two-fluid Model etc15 Tracking Number 172Presentation: Session: Superfluids 1 Room: Room E Session start: 10:30 Wed 26 Aug 2015 Vishwanath Shukla research.vishwanath@gmail.com Affifliation: Indian Institute of Science, Bangalore, India Marc Brachet brachet@physique.ens.fr Affifliation: Ecole Normale Superieure, Paris, France Anupam Gupta anupam1509@gmail.com Affifliation: Department of Physics, University of Rome Tor Vergata, Rome, Italy Rahul Pandit rahul@physics.iisc.ernet.in Affifliation: Indian Institute of Science, Bangalore, India Topics: - Turbulence in superfluids Abstract: We start from the two-dimensional Gross-Pitaevskii equation (GPE) and develop algorithms for the ab-initio determination of the temperature ($T$) dependence of the mutual-friction coefficients, $\alpha$ and $\alpha'$, and the normal-fluid density $\rho_n$, which appear as parameters in the Hall-Vinen-Bekharevich-Khalatnikov (HVBK) two-fluid model for a superfluid. In the second part of our study, we elucidate the statistical properties of two-dimensional, homogeneous, isotropic superfluid turbulence in the simplified HVBK model, with values for the mutual-friction coefficients that are comparable to those we obtain from the first part of our study. |