Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards an efficient multiscale modeling of low-dimensional reactive
  systems: study of numerical closure procedures   In this paper, we present a study on how to develop an efficient multiscale
simulation strategy for the dynamics of chemically active systems on
low-dimensional supports. Such reactions are encountered in a wide variety of
situations, ranging from heterogeneous catalysis to electrochemical or
(membrane) biological processes, to cite a few. We analyzed in this context
different techniques within the framework of an important multiscale approach
known as the equation free method (EFM), which "bridges the multiscale gap" by
building microscopic configurations using macroscopic-level information only.
We hereby considered two simple reactive processes on a one-dimensional
lattice, the simplicity of which allowed for an in-depth understanding of the
parameters controlling the efficiency of this approach. We demonstrate in
particular that it is not enough to base the EFM on the time evolution of the
average concentrations of particles on the lattice, but that the time evolution
of clusters of particles has to be included as well. We also show how important
it is for the accuracy of this method to carefully choose the procedure with
which microscopic states are constructed, starting from the measured
macroscopic quantities. As we also demonstrate that some errors cannot be
corrected by increasing the number of observed macroscopic variables, this work
points towards which procedures should be used in order to generate efficient
and reliable multiscale simulations of these systems.

30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex