Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modulated phases of a 1D sharp interface model in a magnetic field   We investigate the ground states of 1D continuum models having short-range
ferromagnetic type interactions and a wide class of competing longer-range
antiferromagnetic type interactions. The model is defined in terms of an energy
functional, which can be thought of as the Hamiltonian of a coarse-grained
microscopic system or as a mesoscopic free energy functional describing various
materials. We prove that the ground state is simple periodic whatever the
prescribed total magnetization might be. Previous studies of this model of
frustrated systems assumed this simple periodicity but, as in many examples in
condensed matter physics, it is neither obvious nor always true that ground
states do not have a more complicated, or even chaotic structure.

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The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
1
The categories of this paper are: cs
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess