The confinement free energies of non-ideal branched polymers and ideal unbranched polymers are the same

Details The confinement free energies of non-ideal branched polymers and ideal unbranched polymers are the same The confinement free energies of non-ideal branched polymers and ideal unbranched polymers are the same

2008-01-03

arxiv.org/abs/0801.0611v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, no figures

Scientific paper

10.1209/0295-5075/82/46003

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.

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