Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-frequency thermal processes in harmonic crystals   We consider two high-frequency thermal processes in uniformly heated harmonic
crystals relaxing towards equilibrium: (i) equilibration of kinetic and
potential energies and (ii) redistribution of energy among spatial directions.
Equation describing these processes with deterministic initial conditions is
derived. Solution of the equation shows that characteristic time of these
processes is of the order of ten periods of atomic vibrations. After that time
the system practically reaches the stationary state. It is shown analytically
that in harmonic crystals temperature tensor is not isotropic even in the
stationary state. As an example, harmonic triangular lattice is considered.
Simple formula relating the stationary value of the temperature tensor and
initial conditions is derived. The function describing equilibration of kinetic
and potential energies is obtained. It is shown that the difference between the
energies (Lagrangian) oscillates around zero. Amplitude of these oscillations
decays inversely proportional to time. Analytical results are in a good
agreement with numerical simulations.
  Keywords: tensor temperature; nonequilibrium processes; transition to
equilibrium; harmonic crystals; triangular lattice.

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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int