Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distribution function of the random field and polar properties of the
  relaxor ferroelectric films   The model for calculation of relaxor ferroelectrics thin films properties is
proposed. The basis of the model is the theory of random field. This field is
originated from the chemical disorder allowing for influence of the film
surfaces, which destroys the polar long-range order and transform it into mixed
state of ferroelectric glass (FG) or dipole glass (DG). The spatial profiles
and averaged over coordinate inside the film values of properties of relaxor
ferroelectric film were calculated with the random field distribution function.
As an example the dependence of the order parameter on film thickness,
temperature and distribution function characteristics was obtained. The
critical thickness and temperature of the size-driven phase transition from FG
to DG state as a function of the film and distribution function characteristics
were calculated.

2
The categories of this paper are: math
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph