Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trajectory end point distribution of a test particle in the atmosphere   The classic meteorological law of diffusion in the atmosphere was given
experimentally, by Richardson in 1926, whose result that the mean squared
distance <R^2>=cT^3, the time cubed, is in accord with the scaling theory of
Komogorov [ Obukhov (1941)]. In some cases it might be important to have more
information than that provided by Richardson's law. An example would be the
distribution of pollutants in time by turbulent flow. Here small amounts of
material reaching relatively large distances are of importance. This motivates
our interest in the full distribution of the location of particles swept by the
fluid as a function of time. The distribution depends on the distance through
the dimensionless quantity X^2=R^2/<R^2(T)> . Using the Kolmogorov picture, we
find that for small X, the distribution is proportional to exp(-aX^2) and
exp(-bX^4/3) at its tail when X is large.

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The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex