Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crystallization and cooling conditions for diogenite formation in the
  turbulent magma ocean of asteroid 4 Vesta   Despite its small size, the asteroid 4 Vesta has been completely
differentiated to core and mantle. Its composition is similar to
howardite--eucrite--diogenite (HED) meteorites of which the detailed petrology
is known. Therefore, Vesta is a good target for understanding the
differentiation of terrestrial planets. A new differentiation model for crust
formation has been developed by taking magma ocean fluid dynamics, chemical
equilibrium, the presence of $^{26}$Al, and cooling into consideration with a
special focus on crystal separation. The role of crystal size, thickness of the
conductive lid, and fO$_{2}$ are evaluated as parameters. The results show that
large crystals of at least 1 cm settled and formed a kilometer-thick cumulate
layer of orthopyroxene with Mg$\#$ of 0.70-0.90 in ~20 thousand years, which
almost agrees with the Mg$\#$ of diogenites. Smaller grain sizes formed thinner
layers.

13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con