Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Debye-H\"uckel theory for spin ice at low temperature   At low temperatures, spin ice is populated by a finite density of magnetic
monopoles-pointlike topological defects with a mutual magnetic Coulomb
interaction. We discuss the properties of the resulting magnetic Coulomb liquid
in the framework of Debye H\"{u}ckel theory, for which we provide a detailed
context-specific account. We discuss both thermodynamical and dynamical
signatures, and compare Debye H\"{u}ckel theory to experiment as well as
numerics, including data for specific heat and AC susceptibility. We also
evaluate the entropic Coulomb interaction which is present in addition to the
magnetic one and show that it is quantitatively unimportant in the current
compounds. Finally, we address the role of bound monopole anti-monopole pairs
and derive an expression for the monopole mobility.

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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
16
The categories of this paper are: stat
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol