Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean field theory for driven domain walls in disordered environments   We study the mean field equation of motion for driven domain walls in random
media. We discuss the two cases of an external constant as well as an
oscillating driving force. Our main focus lies on the critical dynamics close
to the depinning transition, which we study by analytical and numerical
methods. We find power-law scaling for the velocity as well as the hysteresis
loop area.

28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con