Issue |
Europhys. Lett.
Volume 40, Number 1, October 1997
|
|
---|---|---|
Page(s) | 19 - 24 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i1997-00417-3 | |
Published online | 01 September 2002 |
Density profile of a polymer in a slab
Departamento de Física, Universidade Federal de Santa Catarina,
88.040-900 Florianópolis, SC Brazil
Corresponding author: jstilck@fsc.ufsc.br
Received:
5
May
1997
Accepted:
18
August
1997
We consider the problem of a polymer, modelled as a self-avoiding
walk on a square lattice on the semi-plane, which is
confined between walls located at
and x=m. For each monomer
incorporated into the walk and located at one of the walls the
partition function is multiplied by a Boltzmann factor
, so that the walls may be attractive
(
) or repulsive (
). The activity of a monomer
will be denoted by z. Using a recursive procedure which allows us
to obtain the partition function of the problem for values of m up
to 4, we calculated the fraction of monomers in each column x of
the slab, at the critical value of the activity zc, where the mean
value of the number of monomers diverges. As expected, this density
profile is convex for sufficiently attracting walls and concave for
repulsive walls. For m>1, there exists an interval of values for
ω in which the profile is neither convex nor concave.
PACS: 05.50.+q – Lattice theory and statistics; Ising problems / 61.41.+e – Polymers, elastomers, and plastics
© EDP Sciences, 1997
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.