Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Change of Scaling and Appearance of Scale-Free Size Distribution in
  Aggregation Kinetics by Additive Rules   The idealized general model of aggregate growth is considered on the basis of
the simple additive rules that correspond to one-step aggregation process. The
two idealized cases were analytically investigated and simulated by Monte Carlo
method in the Desktop Grid distributed computing environment to analyze
"pile-up" and "wall" cluster distributions in different aggregation scenarios.
Several aspects of aggregation kinetics (change of scaling, change of size
distribution type, and appearance of scale-free size distribution) driven by
"zero cluster size" boundary condition were determined by analysis of evolving
cumulative distribution functions. The "pile-up" case with a \textit{minimum}
active surface (singularity) could imitate piling up aggregations of
dislocations, and the case with a \textit{maximum} active surface could imitate
arrangements of dislocations in walls. The change of scaling law (for pile-ups
and walls) and availability of scale-free distributions (for walls) were
analytically shown and confirmed by scaling, fitting, moment, and bootstrapping
analyses of simulated probability density and cumulative distribution
functions. The initial "singular" \textit{symmetric} distribution of pile-ups
evolves by the "infinite" diffusive scaling law and later it is replaced by the
other "semi-infinite" diffusive scaling law with \textit{asymmetric}
distribution of pile-ups. In contrast, the initial "singular"
\textit{symmetric} distributions of walls initially evolve by the diffusive
scaling law and later it is replaced by the other ballistic (linear) scaling
law with \textit{scale-free} exponential distributions without distinctive
peaks. The conclusion was made as to possible applications of such approach for
scaling, fitting, moment, and bootstrapping analyses of distributions in
simulated and experimental data.

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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int