Pablo Serra, Jürgen F. Stilck
We propose and study a model of polymer chains in a bilayer. Each chain is confined in one of the layers and polymer bonds on first neighbor edges in different layers interact. The thermodynamic properties of the model are studied in the grand-canonical formalism and both layers are considered to be Cayley trees. In the core region of the trees, which we may call a bilayer Bethe lattice, we find a very rich phase diagram in the parameter space defined by the two activities of monomers and the Boltzmann factor associated to the bond-bond interaction. Beside critical and coexistence surfaces, there are tricritical, bicritical end critical endpoint lines, as well as higher order multicritical points.
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http://arxiv.org/abs/1206.3770
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