Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice Boltzmann method for semiclassical fluids   We determine properties of the lattice Boltzmann method for semiclassical
fluids, which is based on the Boltzmann equation and the equilibrium
distribution function is given either by the Bose-Einstein or the Fermi-Dirac
ones. New D-dimensional polynomials, that generalize the Hermite ones, are
introduced and we find that the weight that renders the polynomials orthonormal
has to be approximately equal, or equal, to the equilibrium distribution
function itself for an efficient numerical implementation of the lattice
Boltzmann method. In light of the new polynomials we discuss the convergence of
the series expansion of the equilibrium distribution function and the
obtainment of the hydrodynamic equations. A discrete quadrature is proposed and
some discrete lattices in one, two and three dimensions associated to weight
functions other than the Hermite weight are obtained. We derive the forcing
term for the LBM, given by the Lorentz force, which dependents on the
microscopic velocity, since the bosonic and fermionic particles can be charged.
Motivated by the recent experimental observations of the hydrodynamic regime of
electrons in graphene, we build an isothermal lattice Boltzmann method for
electrons in metals in two and three dimensions. This model is validated by
means of the Riemann problem and of the Poiseuille flow. As expected for
electron in metals, the Ohm's law is recovered for a system analogous to a
porous medium.

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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas