Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Water and Ice Dielectric Spectra Scaling at 0 {\deg}C   Dielectric spectra (10^4-10^11 Hz) of water and ice at 0 {\deg}C are
considered in terms of proton conductivity and compared to each other. In this
picture, the Debye relaxations, centered at 1/{\tau}_W ~ 20 GHz (in water) and
1/{\tau}_I ~ 5 kHz (in ice), are seen as manifestations of diffusion of
separated charges in the form of H3O+ and OH- ions. The charge separation
results from the self-dissociation of H2O molecules, and is accompanied by
recombination in order to maintain the equilibrium concentration, N. The charge
recombination is a diffusion-controlled process with characteristic lifetimes
of {\tau}_W and {\tau}_I, for water and ice respectively. The static
permittivity, {\epsilon}(0), is solely determined by N. Both, N and
{\epsilon}(0), are roughly constant at the water-ice phase transition, and both
increase, due to a slowing down of the diffusion rate, as the temperature is
lowered. The transformation of the broadband dielectric spectra at 0 {\deg}C
with the drastic change from {\tau}_W to {\tau}_I is mainly due to an abrupt
(by 0.4 eV) change of the activation energy of the charge diffusion.

32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th