Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluid moment hierarchy equations derived from quantum kinetic theory   A set of quantum hydrodynamic equations are derived from the moments of the
electrostatic mean-field Wigner kinetic equation. No assumptions are made on
the particular local equilibrium or on the statistical ensemble wave functions.
Quantum diffraction effects appear explicitly only in the transport equation
for the heat flux triad, which is the third-order moment of the Wigner
pseudo-distribution. The general linear dispersion relation is derived, from
which a quantum modified Bohm-Gross relation is recovered in the long
wave-length limit. Nonlinear, traveling wave solutions are numerically found in
the one-dimensional case. The results shed light on the relation between
quantum kinetic theory, the Bohm-de Broglie-Madelung eikonal approach, and
quantum fluid transport around given equilibrium distribution functions.

36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph