Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomalous finite size corrections in random field models   The presence of a random magnetic field in ferromagnetic systems leads, in
the broken phase, to an anomalous $O(\sqrt{1/N})$ convergence of some
thermodynamic quantities to their asymptotic limits. Here we show a general
method, based on the replica trick, to compute analytically the $O(\sqrt{1/N})$
finite size correction to the average free energy. We apply this method to two
mean field Ising models, fully connected and random regular graphs, and compare
the results to exact numerical algorithms. We argue that this behaviour is
present in finite dimensional models as well.

19
The categories of this paper are: eess
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an