Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Particle Survival and Polydispersity in Aggregation   We study the probability, $P_S(t)$, of a cluster to remain intact in
one-dimensional cluster-cluster aggregation when the cluster diffusion
coefficient scales with size as $D(s) \sim s^\gamma$. $P_S(t)$ exhibits a
stretched exponential decay for $\gamma < 0$ and the power-laws $t^{-3/2}$ for
$\gamma=0$, and $t^{-2/(2-\gamma)}$ for $0<\gamma<2$. A random walk picture
explains the discontinuous and non-monotonic behavior of the exponent. The
decay of $P_S(t)$ determines the polydispersity exponent, $\tau$, which
describes the size distribution for small clusters. Surprisingly,
$\tau(\gamma)$ is a constant $\tau = 0$ for $0<\gamma<2$.

25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ