IFEG   20353
INSTITUTO DE FISICA ENRIQUE GAVIOLA
Unidad Ejecutora - UE
artículos
Título:
Self-avoiding walks on a bilayer Bethe lattice
Autor/es:
PABLO SERRA; JURGEN F. STILCK
Revista:
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Editorial:
IOP PUBLISHING LTD
Referencias:
Lugar: Londres; Año: 2014
ISSN:
1742-5468
Resumen:
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. We also define and comment on
results for a model with interactions between monomers on first neighbor
sites of different layers. 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
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 with the interlayer interaction between
bonds or monomers. In addition to critical and coexistence surfaces,
there are tricritical, bicritical and critical endpoint lines, as well
as higher order multicritical points.