3,629,865 research outputs found
Jamming in complex networks with degree correlation
We study the effects of the degree-degree correlations on the pressure
congestion J when we apply a dynamical process on scale free complex networks
using the gradient network approach. We find that the pressure congestion for
disassortative (assortative) networks is lower (bigger) than the one for
uncorrelated networks which allow us to affirm that disassortative networks
enhance transport through them. This result agree with the fact that many real
world transportation networks naturally evolve to this kind of correlation. We
explain our results showing that for the disassortative case the clusters in
the gradient network turn out to be as much elongated as possible, reducing the
pressure congestion J and observing the opposite behavior for the assortative
case. Finally we apply our model to real world networks, and the results agree
with our theoretical model
Scaling in Small-World Resistor Networks
We study the effective resistance of small-world resistor networks. Utilizing
recent analytic results for the propagator of the Edwards-Wilkinson process on
small-world networks, we obtain the asymptotic behavior of the
disorder-averaged two-point resistance in the large system-size limit. We find
that the small-world structure suppresses large network resistances: both the
average resistance and its standard deviation approaches a finite value in the
large system-size limit for any non-zero density of random links. We also
consider a scenario where the link conductance decays as a power of the length
of the random links, . In this case we find that the average
effective system resistance diverges for any non-zero value of .Comment: 15 pages, 6 figure
Simulation of 1+1 dimensional surface growth and lattices gases using GPUs
Restricted solid on solid surface growth models can be mapped onto binary
lattice gases. We show that efficient simulation algorithms can be realized on
GPUs either by CUDA or by OpenCL programming. We consider a
deposition/evaporation model following Kardar-Parisi-Zhang growth in 1+1
dimensions related to the Asymmetric Simple Exclusion Process and show that for
sizes, that fit into the shared memory of GPUs one can achieve the maximum
parallelization speedup ~ x100 for a Quadro FX 5800 graphics card with respect
to a single CPU of 2.67 GHz). This permits us to study the effect of quenched
columnar disorder, requiring extremely long simulation times. We compare the
CUDA realization with an OpenCL implementation designed for processor clusters
via MPI. A two-lane traffic model with randomized turning points is also
realized and the dynamical behavior has been investigated.Comment: 20 pages 12 figures, 1 table, to appear in Comp. Phys. Com
Scaling of Heteroepitaxial Island Sizes
Monte Carlo simulations of an atomistic solid-on-solid model are used to
study the effect of lattice misfit on the distribution of two-dimensional
islands sizes as a function of coverage in the submonolayer
aggregation regime of epitaxial growth. Misfit promotes the detachment of atoms
from the perimeter of large pseudomorphic islands and thus favors their
dissolution into smaller islands that relieve strain more efficiently. The
number density of islands composed of atoms exhibits scaling in the form
\mbox{)} where is the average island size. Unlike the
case of homoepitaxy, a rate equation theory based on this observation leads to
qualitatively different behavior than observed in the simulations.Comment: 10 pages, LaTeX 2.09, IC-DDV-94-00
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