Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A pseudobinary approach in multicomponent interdiffusion   Interdiffusion studies become increasingly difficult to perform with the
increasing number of elements in a system. It is rather easy to calculate the
interdiffusion coefficients for all the compositions in the interdiffusion zone
in a binary system. The intrinsic diffusion coefficients can be calculated for
the composition of Kirkendall marker plane in a binary system. In a ternary
system, however, the interdiffusion coefficients can only be calculated for the
composition where composition profiles from two different diffusion couples
intersect. Intrinsic diffusion coefficients are possible to calculate when the
Kirkendall markers are also present at that composition, which is a condition
that is generally difficult to satisfy. In a quaternary system, the composition
profiles for three different diffusion couples must intersect at one particular
composition to calculate the diffusion parameters, which is a condition that is
almost impossible to satisfy. To avoid these complications in a multicomponent
system, the average interdiffusion coefficients are calculated. I propose a
method of calculating the intrinsic diffusion coefficients and the variation in
the interdiffusion coefficients for multicomponent systems. This method can be
used for a single diffusion couple in a multicomponent pseudobinary system. The
compositions of the end members of a diffusion couple should be selected such
that only two elements diffuse into the interdiffusion zone. A few hypothetical
diffusion couples are considered in order to validate and explain our method.
Various sources of error in the calculations are also discussed.

30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int