Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Origin of the Curie-von Schweidler law and the fractional capacitor from
  time-varying capacitance   Most dielectrics of practical purpose exhibit memory and are described by the
century-old Curie-von Schweidler law. Interestingly, the Curie-von Schweidler
law is the motivation behind an unconventional circuit component called
fractional capacitor which due to its power-law property is extensively used in
the modeling of complex dielectric media. Unfortunately, the empirical nature
of the Curie-von Schweidler law plagues the applications of the fractional
capacitor. Here, we derive the Curie-von Schweidler law from a series
combination of a resistor and a capacitor with a linear time-varying
capacitance. This may possibly be its first derivation from physical
principles. However, this required a modification of the classical
charge--voltage relation of a capacitor to account for the time-varying
capacitance. The limitation of the classical charge-voltage relation and its
subsequent modification are justified using appropriate circuit modeling.
Consequently, the parameters of the Curie-von Schweidler law and the fractional
capacitor gain physical interpretation. The Debye response of dielectrics
emerges naturally from the limiting case of the power-law response at short
timescales. The obtained results are validated by matching them with the
published experimental reports.

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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cs