The confinement free energies of non-ideal branched polymers and ideal unbranched polymers are the sameR. Ghafouri, J. Rudnick and R. Bruinsma
Department of Physics and Astronomy, University of California, Los Angeles Los Angeles, CA 90095-1547, USA
received 23 December 2007; accepted in final form 26 March 2008; published May 2008
published online 13 May 2008
We use the method of dimensional reduction to show that a branching polymer with excluded-volume interaction confined between two flat plates has, in the thermodynamic limit, a confinement free energy and density profile that is the same as that of an ideal linear polymer with the same number of monomers and the same monomer-plate interaction potential. Condensation due to branching is exactly compensated by swelling due to excluded-volume interaction.
61.25.H- - Macromolecular and polymers solutions; polymer melts.
82.39.Pj - Nucleic acids, DNA and RNA bases.
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