Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A novel energy-based phase field model for ferrodroplet deformation and
  breakup in a uniform magnetic field   In this paper, we propose a novel, thermodynamically consistent phase field
model to simulate the deformation and breakup of a ferrodroplet that is
immersed in a viscous medium and subject to an applied uniform magnetic field.
Instead of using the magnetic body force in the traditional Rosensweig model,
the key idea of this model is to propose a new magnetic energy that enables
direct effects of the magnetic field on the interface evolution. The model can
thereby be derived from the variational principle via minimizing the free
energy of the total system. This energy based modeling idea can be easily
extended to include more external fields in a convenient and consistent way for
more complicated applications involving multiple external fields. We validate
the model by performing a series of numerical simulations, including the
comparison with analytic solutions, the investigation of the effect of
different types of magnetic fields, the dynamical behaviors of the ferrodroplet
breakup under the strong magnetic field, magnetic/velocity/pressure field
distributions, the magnetic energy density, and the inertial phenomenon, etc.

4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio