Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relation between Effective Conductivity and Susceptibility of Two --
  Component Rhombic Checkerboard   The heterogeneity of composite leads to the extra charge concentration at the
boundaries of different phases that results essentially nonzero effective
electric susceptability. The relation between tensors of effective electric
susceptability $\hat\chi_{ef}$ and effective conductivity $\hat\sigma_{ef}$ of
the infinite two--dimensional two--component regular composite with rhombic
cells structure has been established. The degrees of electric field singularity
at corner points of cells are found by constructing the integral equation for
the effective conductivity problem. The limits of weak and strong contrast of
partial conductivities $\sigma_1,\sigma_2$ are considered. The results are
valid for thin films and cylindrical samples.

36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex