Electrophoretic separation of DNA molecules normally requires the use
of an anticonvection, sieving polymer matrix such as a gel or an entan
gled polymer solution. Recently, it has been suggested that free-solut
ion separation could be achieved in a capillary if an electrically neu
tral, friction-generating molecule is attached to the DNA molecules be
fore electrophoresis is carried out. The electrophoretic mobilities ar
e then predicted to be very large and the resulting separation is expe
cted to yield excellent resolution. The size-dependence of the electro
phoretic mobility is attributed to longer DNA molecules pulling the ne
utral molecule with a larger electric force, thus eluting earlier than
shorter DNA molecules. In this article, we focus on the particular ca
se where one attaches an uncharged, flexible polymer to the end of the
DNA. Our self-consistent model takes into account the deformation and
the hydrodynamic resistance of the polymer in the flow. We find vario
us regimes, depending on the intensity of the electric field and the l
ength of the polymer. The most favorable conditions for high-resolutio
n separation of DNA are described.