Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic domains in thin ferromagnetic films with strong perpendicular
  anisotropy   We investigate the scaling of the ground state energy and optimal domain
patterns in thin ferromagnetic films with strong uniaxial anisotropy and the
easy axis perpendicular to the film plane. Starting from the full
three-dimensional micromagnetic model, we identify the critical scaling where
the transition from single domain to multidomain ground states such as bubble
or maze patterns occurs. Furthermore, we analyze the asymptotic behavior of the
energy in two regimes separated by a transition. In the single domain regime,
the energy $\Gamma$-converges towards a much simpler two-dimensional and local
model. In the second regime, we derive the scaling of the minimal energy and
deduce a scaling law for the typical domain size.

33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph