English

Quantum hydrodynamic approximations to the finite temperature trapped Bose gases

Quantum Gases 2018-10-17 v2 Mathematical Physics math.MP

Abstract

For the quantum kinetic system modelling the Bose-Einstein Condensate that accounts for interactions between condensate and excited atoms, we use the Chapman-Enskog expansion to derive its hydrodynamic approximations, include both Euler and Navier-Stokes approximations. The hydrodynamic approximations describe not only the macroscopic behavior of the BEC but also its coupling with the non-condensates, which agrees with Landau's two fluid theory.

Keywords

Cite

@article{arxiv.1703.00825,
  title  = {Quantum hydrodynamic approximations to the finite temperature trapped Bose gases},
  author = {Shi Jin and Minh-Binh Tran},
  journal= {arXiv preprint arXiv:1703.00825},
  year   = {2018}
}