Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Taylor-von Neumann-Sedov blast-wave solution: comparisons with
  microscopic simulations of a one-dimensional gas   We study the response of an infinite system of point particles on the line
initially at rest on the instantaneous release of energy in a localized region.
We make a detailed comparison of the hydrodynamic variables predicted by Euler
equations for non-dissipative ideal compressible gas and the results of direct
microscopic simulations. At long times the profiles of the three conserved
variables evolve to self-similar scaling forms, with a scaling exponent as
predicted by the Taylor-von Neumann-Sedov (TvNS) blast-wave solution. The
scaling functions obtained from the microscopic dynamics show a remarkable
agreement with the TvNS predictions, except at the blast core, where the TvNS
solution predicts a diverging temperature which is not observed in simulations.
We show that the effect of heat conduction becomes important and present
results from a numerical solution of the full Navier-Stokes-Fourier equations.
A different scaling form is observed in the blast core and this is carefully
analyzed. Our microscopic model is the one-dimensional alternate mass
hard-particle gas which has the ideal gas equation of state but is
non-integrable and known to display fast equilibration.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int