Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase-field modeling of solute precipitation and dissolution   A phase-field approach to the dynamics of liquid-solid interfaces that evolve
due to precipitation and/or dissolution is presented. For the purpose of
illustration and comparison with other methods, phase field simulations were
carried out assuming first order reaction (dissolution/precipitation) kinetics.
In contrast to solidification processes controlled by a temperature field that
is continuous across the solid/liquid interface (with a discontinuous
temperature gradient) precipitation/dissolution is controlled by a solute
concentration field that is discontinuous at the solid/liquid interface. The
sharp-interface asymptotic analysis of the phase-field equations for
solidification [Karma and Rappel, Phys. Rev. E57 (1998) 4342] has been modified
for precipitation/dissolution processes to demonstrate that the phase-field
equations converge to the proper sharp-interface limit. The mathematical model
has been validated for a one-dimensional precipitation/dissolution problem by
comparison with the analytical solution.

36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph