Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Filamentary Extension of the Mem-Con theory of Memristance and its
  Application to Titanium Dioxide Sol-Gel Memristors   Titanium dioxide sol-gel memristors have two different modes of operation,
believed to be dependent on whether there is bulk memristance, i.e. memristance
throughout the whole volume or filamentary memristance, i.e. memristance caused
by the connection of conducting filaments. The mem-con theory of memristance is
based on the drift of oxygen vacancies rather than that of conducting electrons
and has been previously used to describe bulk memristance in several devices.
Here, the mem-con theory is extended to model memristance caused by small
filaments of low resistance titanium dioxide and it compares favorably to
experimental results for filamentary memristance in sol-gel devices.

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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph