Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lyapunov exponent for inertial particles in the 2D Kraichnan model as a
  problem of Anderson localization with complex valued potential   We exploit the analogy between dynamics of inertial particle pair separation
in a random-in-time flow and the Anderson model of a quantum particle on the
line in a spatially random real-valued potential. Thereby we get an exact
formula for the Lyapunov exponent of pair separation in a special case, and we
are able to generalize the class of solvable models slightly, for potentials
that are real up to a global complex multiplier. A further important result for
inertial particle behavior, supported by analytical computations in some cases
and by numerics more generally, is that of the decay of the Lyapunov exponent
with large Stokes number (quotient of particle relaxation and flow turn-over
time-scales) as Stokes number to the power -2/3.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph