Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steady-state kinetic temperature distribution in a two-dimensional
  square harmonic scalar lattice lying in a viscous environment and subjected
  to a point heat source   We consider heat transfer in an infinite two-dimensional square harmonic
scalar lattice lying in a viscous environment and subjected to a heat source.
The basic equations for the particles of the lattice are stated in the form of
a system of stochastic ordinary differential equations. We perform a
continualization procedure and derive an infinite system of linear partial
differential equations for covariance variables. The most important results of
the paper are the deterministic differential-difference equation describing
non-stationary heat propagation in the lattice and the analytical formula in
the integral form for its steady-state solution describing kinetic temperature
distribution caused by a point heat source of a constant intensity. The
comparison between numerical solution of stochastic equations and obtained
analytical solution demonstrates a very good agreement everywhere except for
the main diagonals of the lattice (with respect to the point source position),
where the analytical solution is singular.

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The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin