Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electronic viscosity in a quantum well: A test for the local density
  approximation   In the local density approximation (LDA) for electronic time-dependent
current-density functional theory (TDCDFT) many-body effects are described in
terms of the visco-elastic constants of the homogeneous three-dimensional
electron gas. In this paper we critically examine the applicability of the
three-dimensional LDA to the calculation of the viscous damping of
1-dimensional collective oscillations of angular frequency $\omega$ in a quasi
2-dimensional quantum well. We calculate the effective viscosity
$\zeta(\omega)$ from perturbation theory in the screened Coulomb interaction
and compare it with the commonly used three-dimensional LDA viscosity
$Y(\omega)$. Significant differences are found. At low frequency $Y(\omega)$ is
dominated by a shear term, which is absent in $\zeta(\omega)$. At high
frequency $\zeta(\omega)$ and $Y(\omega)$ exhibit different power law behaviors
($\omega^{-3}$ and $\omega^{-5/2}$ respectively), reflecting different spectral
densities of electron-hole excitations in two and three dimensions. These
findings demonstrate the need for better approximations for the
exchange-correlation stress tensor in specific systems where the use of the
three-dimensional functionals may lead to unphysical results.

37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph