Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical properties of linear-hyperbranched graft copolymers prepared
  via "hypergrafting" of AB_m monomers from linear B-functional core chains: A
  Molecular Dynamics simulation   The reaction of $AB_m$ monomers (m=2,3) with a multifunctional B_f-type
polymer chain ("hypergrafting") is studied by coarse-grained molecular dynamics
simulations. The $AB_m$ monomers are hypergrafted using the slow monomer
addition strategy. Fully dendronized, i.e., perfectly branched polymers are
also simulated for comparison. The degree of branching DB of the molecules
obtained with the "hypergrafting" process critically depends on the rate with
which monomers attach to inner monomers compared to terminal monomers. This
ratio is more favorable if the $AB_m$ monomers have lower reactivity, since the
free monomers then have time to diffuse inside the chain. Configurational chain
properties are also determined, showing that the stretching of the polymer
backbone as a consequence of the "hypergrafting" procedure is much less
pronounced than for perfectly dendronized chains. Furthermore, we analyze the
scaling of various quantities with molecular weight M for large M (M>100). The
Wiener index scales as $M^2.3$, which is intermediate between linear chains
($M^3$) and perfectly branched polymers ($M^2 \ln(M)$). The polymer size,
characterized by the radius of gyration $R_g$ or the hydrodynamic radius $R_h$,
is found to scale as $R_{g,h}~M^{\nu}$ with $\nu~0.38$, which lies between the
exponent of diffusion limited aggregation ($\nu=0.4$) and the mean-field
exponent predicted by Konkolewicz and coworkers ($\nu=0.33$).

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio