Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-extensive super-cluster states in aggregation with fragmentation   Systems evolving through aggregation and fragmentation may possess an
intriguing super-cluster state (SCS). Clusters constituting this state are
mostly large, so the SCS resembles a gelling state. The formation of the SCS is
controlled by fluctuations and in this aspect, it is similar to a critical
state. The SCS is non-extensive as the number of clusters varies sub-linearly
with the system size. In the parameter space, the SCS separates equilibrium and
jamming (extensive) states. The conventional methods such as the van Kampen
expansion fail to describe the SCS. To characterize the SCS, we propose a
scaling approach with a set of critical exponents. Our theoretical findings are
in good agreement with numerical results.

31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex