Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SRF Theory Developments from the Center for Bright Beams   We present theoretical studies of SRF materials from the Center for Bright
Beams. First, we discuss the effects of disorder, inhomogeneities, and
materials anisotropy on the maximum parallel surface field that a
superconductor can sustain in an SRF cavity, using linear stability in
conjunction with Ginzburg-Landau and Eilenberger theory. We connect our
disorder mediated vortex nucleation model to current experimental developments
of Nb$_3$Sn and other cavity materials. Second, we use time-dependent
Ginzburg-Landau simulations to explore the role of inhomogeneities in
nucleating vortices, and discuss the effects of trapped magnetic flux on the
residual resistance of weakly- pinned Nb$_3$Sn cavities. Third, we present
first-principles density-functional theory (DFT) calculations to uncover and
characterize the key fundamental materials processes underlying the growth of
Nb$_3$Sn. Our calculations give us key information about how, where, and when
the observed tin-depletedregions form. Based on this we plan to develop new
coating protocols to mitigate the formation of tin depleted regions.

2
The categories of this paper are: math
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga