https://doi.org/10.1007/s100510050338
A polymer chain trapped between two parallel repulsive walls: A Monte-Carlo test of scaling behavior
Institut für Physik, Johannes Gutenberg-Universität Mainz
55099 Mainz, Staudinger Weg 7, Germany
Corresponding author: a binder@chaplin.physik.uni-mainz.de
Received:
21
November
1997
Accepted:
11
December
1997
Published online: 15 June 1998
An off-lattice bead-spring model of a polymer chain trapped between two parallel
walls a distance D apart is studied by Monte-Carlo methods, using chain lengths N in
the range and distances D from 4 to 32
(in units of the maximum spring
extension). The scaling behavior of the coil linear dimensions
parallel to the plates and
of the force on the walls is studied and discussed with the help
of current theoretical
predictions. Also the density profiles of the monomers across the
slit are obtained and
it is shown that the predicted variation with the distance z
from a wall,
, is
obtained only when one introduces an extrapolation length λ
in the description,
, with
.
An analogous result is also obtained for Gaussian chains
(where
).
PACS: 61.25.Hq – Macromolecular and polymer solutions; polymer melts; swelling / 07.05.Tp – Computer modeling and simulation / 61.41.+e – Polymers, elastomers, and plastics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998