2 research outputs found
The Branched Polymer Growth Model Revisited
The Branched Polymer Growth Model (BPGM) has been employed to study the
kinetic growth of ramified polymers in the presence of impurities. In this
article, the BPGM is revisited on the square lattice and a subtle modification
in its dynamics is proposed in order to adapt it to a scenario closer to
reality and experimentation. This new version of the model is denominated the
Adapted Branched Polymer Growth Model (ABPGM). It is shown that the ABPGM
preserves the functionalities of the monomers and so recovers the branching
probability b as an input parameter which effectively controls the relative
incidence of bifurcations. The critical locus separating infinite from finite
growth regimes of the ABPGM is obtained in the (b,c) space (where c is the
impurity concentration). Unlike the original model, the phase diagram of the
ABPGM exhibits a peculiar reentrance.Comment: 8 pages, 10 figures. To be published in PHYSICA
Finite-Size Scaling and Damage Spreading in Ising Systems with Multispin Interactions
We investigate two-dimensional Ising systems with multisping interactions of
three- (m=3) and four-body terms (m=4). The application of a new type of
finite-size algorithm of de Oliveira allow us to clearly distinguish a
first-order transition (in the m=4 case) from a continuous one (in the m=3
one). We also study the damage spreading in these systems. In this study, a
dynamical phenomenon is observed to occur at a critical point separating a
chaotic phase from a frozen one. However, the width of the interval where this
transition happens does not yield a conclusive evidence about the order of the
phase transition.Comment: 18 pages, 6 figure