Quantum Hydrodynamics for a Charged Non-Viscous Fluid
نویسندگان
چکیده
منابع مشابه
Dispersive hydrodynamics in viscous fluid conduits.
The evolution of the interface separating a conduit of light, viscous fluid rising buoyantly through a heavy, more viscous, exterior fluid at small Reynolds numbers is governed by the interplay between nonlinearity and dispersion. Previous authors have proposed an approximate model equation based on physical arguments, but a precise theoretical treatment for this two-fluid system with a free bo...
متن کاملViscous Quantum Hydrodynamics and Parameter-Elliptic Systems
The viscous quantum hydrodynamic model derived for semiconductor simulation is studied in this paper. The principal part of the vQHD system constitutes a parameter–elliptic operator provided that boundary conditions satisfying the Shapiro–Lopatinskii criterion are specified. We classify admissible boundary conditions and show that this principal part generates an analytic semigroup, from which ...
متن کاملThe Viscous Model of Quantum Hydrodynamics in Several Dimensions
We investigate the viscous model of quantum hydrodynamics in one and higher space dimensions. Exploiting the entropy dissipation method, we prove the exponential stability of the thermal equilibrium state in 1,2, and 3 dimensions, provided that the domain is a box. Further, we show the local in time existence of a solution in the one dimensional case; and in the case of higher dimensions under ...
متن کاملSingularities on charged viscous droplets
We study the evolution of charged droplets of a conducting viscous liquid. The flow is driven by electrostatic repulsion and capillarity. These droplets are known to be linearly unstable when the electric charge is above the Rayleigh critical value. Here we investigate the nonlinear evolution that develops after the linear regime. Using a boundary elements method, we find that a perturbed spher...
متن کاملCondensate of a charged boson fluid at non-integer dimensions
Condensate of a charged boson fluid at non-integer dimensions between 2 and 3 is studied. Interaction between particles is assumed to be Coulombic, and Bogoliubov approximation is applied for a weak coupling regime. The condensate and the superfluid fraction at finite temperatures and at non-integer dimensions are calculated. The theoretical results are compared with the superfluid densities of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1955
ISSN: 0033-068X
DOI: 10.1143/ptp.13.627