Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\bar{\textrm{H}}^{+}$ Sympathetic Cooling Simulations with a Variable
  Time Step   In this paper we present a new variable time step criterion for the
velocity-Verlet algorithm allowing to correctly simulate the dynamics of
charged particles exchanging energy via Coulomb collisions while minimising
simulation time. We present physical arguments supporting the use of the
criterion along with numerical results proving its validity. We numerically
show that $\bar{\textrm{H}}^{+}$ ions with 18 meV initial energy can be
captured and sympathetically cooled by a Coulomb crystal of $\textrm{Be}^{+}$
and $\textrm{HD}^{+}$ in less than 10 ms, an important result for the GBAR
project.

33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci