2019/12/02 by Pavel A. Andreev, Andreev, Pavel A. · 2 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum Gases (cond-mat.quant-gas) #Quantum, superfluid, helium dynamics #cond-mat.quant-gas
paper · pdf · doi:10.48550/arxiv.1912.00843
6 pages, 3 figures
arxiv created 2019/12/02 · openalex publication_date 2019/12/02 · arxiv updated 2019/12/03 · openalex created_date 2019/12/05 · openalex updated_date 2026/07/28
Usually, hydrodynamic equations are restricted by the continuity and Euler equations. However, the account of the higher moments of the distribution function gives better description of the kinetic properties. Therefore, the pressure tensor evolution equation (PTEE) is derived for spin polarized degenerate fermions. Moreover, it is found that the pressure tensor enters the interaction term generalizing the p-wave interaction in the Euler equation. Hence, the PTEE allows to give a more accurate description of the interaction in Euler equation. Next, the interaction is calculated for the PTEE. The developed model is applied to the small amplitude bulk collective excitations in homogeneous and trapped fermions in order to suggest the methods of experimental measurement of the interaction constant of polarized fermions. It is demonstrated that the anisotropy in the momentum space revealing in the difference of the pressures in the anisotropy direction and the perpendicular directions leads to a method of detection of the interaction constant.