Polymer models with competing collapse interactions on Husimi and Bethe lattices
arXiv:1511.02042 · doi:10.1103/PhysRevE.93.032110
Abstract
In the framework of Husimi and Bethe lattices, we investigate a generalized polymer model that incorporates as special cases different models previously studied in the literature, namely, the standard interacting self-avoiding walk, the interacting self-avoiding trail, and the vertex-interacting self-avoiding walk. These models are characterized by different microscopic interactions, giving rise, in the two-dimensional case, to collapse transitions of an apparently different nature. We expect that our results, even though of a mean-field type, could provide some useful information to elucidate the role of such different theta points in the polymer phase diagram. These issues are at the core of a long-standing unresolved debate.
16 pages, 12 figures
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- Semi-flexible compact polymers in two dimensional nonhomogeneous confinement
- Solution of semi-flexible self-avoiding trails on a Husimi lattice built with squares
- Collapse transition in polymer models with multiple monomers per site and multiple bonds per edge
- Semianalytical solutions of Ising-like and Potts-like magnetic polymers on the Bethe lattice