IFLYSIB   05383
INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
artículos
Título:
Study and characterization of interfaces in a two-dimensional generalized voter model.
Autor/es:
BORDOGNA, C; EZEQUIEL V ALBANO
Revista:
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Editorial:
Americal Physical Society
Referencias:
Lugar: New York; Año: 2011 vol. 83 p. 46111 - 46117
ISSN:
1063-651X
Resumen:
We propose and study, by means of numerical simulations, the time evolution of interfaces in a generalized voter model in d=2
dimensions. In this model, a randomly selected voter can change his or
her opinion (state) with a certain probability that is an algebraic
function of the average opinion of his or her nearest neighbors. By
starting with well-defined (sharp) interfaces between two different
states of opinion, we measure the time dependence of the interface width
(w), which behaves as a power law, i.e., w∝tδ.
In this way we characterized three different types of interfaces: (i)
between an ordered phase (consensus) and a disordered one (δ=1/2); (ii) between ordered phases having different states of opinion (δ=1/2),
which corresponds to interface coarsening without surface tension; and
(iii) as in (ii) but considering surface tension. Here, we observe a
finite-size induced crossover with exponents δ=1/4 and δ=1/2
for early and longer times, respectively. So, our study allows for the
characterization of interfaces of quite different nature in a unified
fashion, providing insight into the understanding of interface
coarsening with and without surface tension.