Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear Model of non-Debye Relaxation   We present a simple nonlinear relaxation equation which contains the Debye
equation as a particular case. The suggested relaxation equation results in
power-law decay of fluctuations. This equation contains a parameter defining
the frequency dependence of the dielectric permittivity similarly to the
well-known one-parameter phenomenological equations of Cole-Cole, Davidson-Cole
and Kohlrausch-Williams-Watts. Unlike these models, the obtained dielectric
permittivity (i) obeys to the Kramers-Kronig relation; (ii) has proper
behaviour at large frequency; (iii) its imaginary part, conductivity, shows a
power-law frequency dependence \sigma ~ \omega^n where n<1 corresponds to
empirical Jonscher's universal relaxation law while n>1 is also observed in
several experiments. The nonlinear equation proposed may be useful in various
fields of relaxation theory.

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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-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: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph