Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How fast do structures emerge in hypercycle-systems?   A general framework for the simulation of reaction-diffusion systems with
probabilistic cellular automata is presented. The basic reaction probabilities
of the chemical model translate directly into the transition rules of the
automaton, thus allowing a clear comparison between simulation results and
analytic calculations. This framework is then applied to simulations of
hypercycle-systems in up to three dimensions. Furthermore, a new measurement
quantity is introduced and applied to the hypercycle-systems in two and three
dimensions. It can be shown that this quantity can be interpreted as a measure
for the macroscopic order of the hypercycle systems.

30
The categories of this paper are: q-alg
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph