Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetization Profile in the d=2 Semi-Infinite Ising Model and Crossover
  between Ordinary and Normal Transition   We theoretically investigate the spatial dependence of the order parameter of
the two-dimensional semi-infinite Ising model with a free surface at or above
the bulk critical temperature. Special attention is paid to the influence of a
surface magnetic field $h_1$ and the crossover between the fixed points at
h_1=0 and h_1=infinity. The sharp increase of the magnetization m(z) close to
the boundary generated by a small h_1, which was found previously by the
present authors in the three-dimensional model, is also seen in two dimensions.
There, however, the universal short-distance power law is modified by a
logarithm. By means of a phenomenological scaling analysis, the short-distance
behavior can be related to the logarithmic dependence of the surface
magnetization on h_1. Our results, which are corroborated by Monte Carlo
simulations, provide a deeper understanding of the existing exact results
concerning the local magnetization and relate the short-distance phenomena in
two dimensions to those in higher dimensionality.

11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
2
The categories of this paper are: math
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex