  A comparative dynamic Monte Carlo simulation study of polydisperse living
polymer brushes, created by surface initiated living polymerization, and
conventional polymer monodisperse brush, comprising linear polymer chains,
grafted to a planar substrate under good solvent conditions, is presented. The
living brush is created by end-monomer (de)polymerization reaction after
placing an array of initiators on a grafting plane in contact with a solution
of initially non-bonded segments (monomers). At equilibrium, the monomer
density profile \phi(z) of the LPB is found to decline as \phi(z) ~ z^{-\alpha}
with the distance from the grafting plane z, while the distribution of chain
lengths in the brush scales as c(N) ~ N^{-\tau}. The measured values \alpha =
0.64 and \tau = 1.70 are very close to those, predicted within the framework of
the Diffusion-Limited Aggregation theory, \alpha = 2/3 and \tau = 7/4. At
varying mean degree of polymerization (from L = 28 to L = 170) and effective
grafting density (from \sigma_g = 0.0625 to \sigma_g = 1.0), we observe a
nearly perfect agreement in the force-distance behavior of the simulated LPB
with own experimental data obtained from colloidal probe AFM analysis on
PNIPAAm brush and with data obtained by Plunkett et. al., [Langmuir 2006, 22,
4259] from SFA measurements on same polymer.
