Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling limits of spatial compartment models for chemical reaction
  networks   We study the effects of fast spatial movement of molecules on the dynamics of
chemical species in a spatially heterogeneous chemical reaction network using a
compartment model. The reaction networks we consider are either single- or
multi-scale. When reaction dynamics is on a single-scale, fast spatial movement
has a simple effect of averaging reactions over the distribution of all the
species. When reaction dynamics is on multiple scales, we show that spatial
movement of molecules has different effects depending on whether the movement
of each type of species is faster or slower than the effective reaction
dynamics on this molecular type. We obtain results for both when the system is
without and with conserved quantities, which are linear combinations of species
evolving only on the slower time scale.

26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org