Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality, the Barton, Namikawa, and Nakajima relation, and scaling
  for dispersive ionic materials   Many frequency-response analyses of experimental data for homogeneous glasses
and single-crystals involving mobile ions of a single type indicate that
estimates of the stretched-exponential beta1 shape parameter of the Kohlrausch
K1 fitting model are close to 1/3 and are virtually independent of both
temperature and ionic concentration. This model, which usually yields better
fits than others, is indirectly associated with temporal-domain
stretched-exponential response having the same beta1 parameter value. Here it
is shown that for the above conditions several different analyses yield the
important and unique value of exactly 1/3 for the beta1 of the K1 model. It is
therefore appropriate to fix the beta1 parameter of this model at the constant
value of 1/3, then defined as the U model. It fits data sets exhibiting
conductive-system dispersion that vary with both temperature and concentration
just as well as those with beta1 free to vary, and it leads to a
correspondingly universal value of the Barton-Nakajima-Namikawa (BNN) parameter
p of 1.65. Composite-model complex-nonlinear-least-squares fitting, including
the dispersive U-model,the effects of the bulk dipolar-electronic dielectric
constant, and of electrode polarization when significant, also leads to
estimates of two hopping parameters that yield optimum scaling of experimental
data that involve temperature and concentration variation.

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
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The categories of this paper are: math
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom