The density of states of a Bose-condensed gas confined in a harmonic trap is investigated. The predictions of Bogoliubov theory are compared with the ones of Hartree-Fock theory and of the hydrodynamic model. We show that the Hartree-Fock scheme provides an excellent description of the excitation spectrum in a wide range of energy, revealing a major role played by single-particle excitations in...

The long-time asymptotics of solutions of the viscous quantum hydrodynamic model in one space dimension is studied. This model consists of continuity equations for the particle density and the current density, coupled to the Poisson equation for the electrostatic potential. The equations are a dispersive and viscous regularization of the Euler equations. It is shown that the solutions converge ...

The blow-up in finite time for the solutions to the initial-boundary value problem associated to the multi-dimensional quantum hydrodynamic model in a bounded domain is proved. The model consists on conservation of mass equation and a momentum balance equation equivalent to a compressible Euler equations corrected by a dispersion term of the third order in the momentum balance. The proof is bas...

We consider the low-energy effective field theory at finite temperature of Bose condensed liquids (e.g., superfluid 4He). A most general model-independent effective Lagrangian is derived directly from the breakdown of the global symmetry U(1). We show that it can yield one form of Landau quantum hydrodynamic Hamiltonian. In order to demonstrate its usefulness, this effective Lagrangian is emplo...

Background and Aims: Adenovector gene transfer induces inflammatory response that finally leads to vector removal from delivered site. The effect of hydrodynamic pre-injection on Adenovector mediated liver inflammation remained elusive. Materials and Methods: Different mice groups were pre-treated by hydrodynamic saline, dexamethasone or nothing prior to Adeno-Luciferase administration. Their s...

In this paper we solve the problem of describing all nonlocal Hamiltonian operators of hydrodynamic type with flat metrics and establish that this nontrivial special class of Hamiltonian operators is closely connected with the associativity equations of twodimensional topological quantum field theories and the theory of Frobenius manifolds. It is shown that the Hamiltonian operators of this cla...

We describe the nature of charge transport at non-zero temperatures (T ) above the two-dimensional (d) superfluid-insulator quantum critical point. We argue that the transport is characterized by inelastic collisions among thermally excited carriers at a rate of order kBT/h̄. This implies that the transport at frequencies ω kBT/h̄ is in the hydrodynamic, collision-dominated (or ‘incoherent’) regi...

We describe the nature of charge transport at non-zero temperatures (T ) above the two-dimensional (d) superfluid-insulator quantum critical point. We argue that the transport is characterized by inelastic collisions among thermally excited carriers at a rate of order kBT/h̄. This implies that the transport at frequencies ω ≪ kBT/h̄ is in the hydrodynamic, collision-dominated (or ‘incoherent’) re...