IFIMAR   20926
INSTITUTO DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Unidad Ejecutora - UE
artículos
Título:
Conservative model for synchronization problems in complex networks
Autor/es:
C. E. LA ROCCA; L. A. BRAUNSTEIN; P. A. MACRI
Revista:
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Referencias:
Año: 2009 p. 26111 - 26111
ISSN:
1063-651X
Resumen:
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Abstract
In this
paper we study the scaling behavior of the interface fluctuations (roughness)
for a discrete model with conservative noise on complex networks. Conservative
noise is a noise which has no external flux of deposition on the surface and
the whole process is due to the diffusion. It was found that in Euclidean
lattices the roughness of the steady state WS does not depend on the
system size. Here, we find that for Scale-Free networks of N nodes,
characterized by a degree distribution P(k) ~ k-l, WS is independent of N for any l. This behavior is very different than the one
found by Pastore y Piontti et. al [Phys. Rev. E 76, 046117 (2007)] for a
discrete model with non-conservative noise, that implies an external flux,
where WS ~ ln N for l< 3, and was explained by
non-linear terms in the analytical evolution equation for the interface [La Rocca
et. al, Phys. Rev. E 77, 046120 (2008)]. In this work we show that in this
processes with conservative noise the non-linear terms are not relevant to
describe the scaling behavior of WS.