Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Criticality of a dissipative self-organizing process in a dynamic
  population   We derive a general formulation of the self-organized branching process by
considering sandpile dynamics in an evolving population characterized by
"birth" (excitation) and "death" (de-excitation) of active sites ($z=1$). New
active sites are born in empty sites ($z=0$) with a probability of $\eta$,
whereas active sites die, thus becoming empty, with a probability $\lambda$.
Subsequently, when an active site becomes unstable ($z=2$), it topples by
transferring two grains to two randomly chosen sites with probability $\alpha$
or, by transferring only one grain to a randomly selected site (while retaining
the other) with probability $\beta=1+\frac{\lambda}{\eta}-2\alpha$, thus
remaining active after toppling. We show that when sandpile dynamics occurs in
an evolving population, self-organized criticality, characterized by a
power-law avalanche size distribution with exponent $\tau_s=3/2$ and power-law
avalanche duration distribution with exponent $\tau_T=2$ at very high dimension
$n >> 1$, is achieved even in the presence of dissipation ($\epsilon = 1-\alpha
- \beta > 0$), contrary to previous claims.

23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ