Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jet theoretical Yang-Mills energy in the geometric dynamics of
  2D-monolayer   Langmuir-Blodgett films (LB-films) consist from few LB-monolayers which are
high structured nanomaterials that are very promising materials for
applications. We use a geometrical approach to describe structurization into
LB-monolayers. Consequently, we develop on the 1-jet space J^1([0,\infty),R^2)
the single-time Lagrange geometry (in the sense of distinguished (d-)
connection, d-torsions and an abstract anisotropic electromagnetic-like
d-field) for the Lagrangian governing the 2D-motion of a particle of monolayer.
One assumed that an expansion near singular points for the constructed
geometrical Lagrangian theory describe phase transitions to LB-monolayer.
Trajectories of particles in a field of the electrocapillarity forces of
monolayer have been calculated in a resonant approximation utilizing some
Jacobi equations. A jet geometrical Yang-Mills energy is introduced and some
physical interpretations are given.

37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph