Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Torsion of a cylinder of partially molten rock with a spherical
  inclusion: theory and simulation   The processes that are involved in migration and extraction of melt from the
mantle are not yet fully understood. Gaining a better understanding of material
properties of partially molten rock could help shed light on the behavior of
melt on larger scales in the mantle. In this study, we simulate
three-dimensional torsional deformation of a partially molten rock that
contains a rigid, spherical inclusion. We compare the computed porosity
patterns to those found in recent laboratory experiments. The laboratory
experiments show emergence of melt-rich bands throughout the rock sample, and
pressure shadows around the inclusion. The numerical model displays similar
melt-rich bands only for a small bulk-to-shear-viscosity ratio (five or less).
The results are consistent with earlier two-dimensional numerical simulations;
however, we show that it is easier to form melt-rich bands in three dimensions
compared to two. The addition of strain-rate dependence of the viscosity causes
a distinct change in the shape of pressure shadows around the inclusion. This
change in shape presents an opportunity for experimentalists to identify the
strain-rate dependence and therefore the dominant deformation mechanism in
torsion experiments with inclusions.

20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat