1,772 research outputs found
A critical look at power law modelling of the Internet
This paper takes a critical look at the usefulness of power law models of the
Internet. The twin focuses of the paper are Internet traffic and topology
generation. The aim of the paper is twofold. Firstly it summarises the state of
the art in power law modelling particularly giving attention to existing open
research questions. Secondly it provides insight into the failings of such
models and where progress needs to be made for power law research to feed
through to actual improvements in network performance.Comment: To appear Computer Communication
Tricritical directed percolation
We consider a modification of the contact process incorporating higher-order
reaction terms. The original contact process exhibits a non-equilibrium phase
transition belonging to the universality class of directed percolation. The
incorporated higher-order reaction terms lead to a non-trivial phase diagram.
In particular, a line of continuous phase transitions is separated by a
tricritical point from a line of discontinuous phase transitions. The
corresponding tricritical scaling behavior is analyzed in detail, i.e., we
determine the critical exponents, various universal scaling functions as well
as universal amplitude combinations
Self-generated Self-similar Traffic
Self-similarity in the network traffic has been studied from several aspects:
both at the user side and at the network side there are many sources of the
long range dependence. Recently some dynamical origins are also identified: the
TCP adaptive congestion avoidance algorithm itself can produce chaotic and long
range dependent throughput behavior, if the loss rate is very high. In this
paper we show that there is a close connection between the static and dynamic
origins of self-similarity: parallel TCPs can generate the self-similarity
themselves, they can introduce heavily fluctuations into the background traffic
and produce high effective loss rate causing a long range dependent TCP flow,
however, the dropped packet ratio is low.Comment: 8 pages, 12 Postscript figures, accepted in Nonlinear Phenomena in
Complex System
The Dynamics of Internet Traffic: Self-Similarity, Self-Organization, and Complex Phenomena
The Internet is the most complex system ever created in human history.
Therefore, its dynamics and traffic unsurprisingly take on a rich variety of
complex dynamics, self-organization, and other phenomena that have been
researched for years. This paper is a review of the complex dynamics of
Internet traffic. Departing from normal treatises, we will take a view from
both the network engineering and physics perspectives showing the strengths and
weaknesses as well as insights of both. In addition, many less covered
phenomena such as traffic oscillations, large-scale effects of worm traffic,
and comparisons of the Internet and biological models will be covered.Comment: 63 pages, 7 figures, 7 tables, submitted to Advances in Complex
System
Thermodynamical behavior of the Blume-Capel model in the vicinity of its tricritical point
We investigate the thermodynamic properties of the zero-field Blume-Capel
model in the vicinity of its tricritical point (TCP). We calculate the
quadrupole moment, internal energy, and entropy densities employing an exact
numerical recursion procedure for the model defined on a hierarchical lattice
of fractal dimension . We explore the scaling behavior of the isothermal
quadrupolar susceptibility and, the isothermal and constant crystal-field
specific heat as a function of the temperature and the reduced crystal-field
parameter along the ferromagnetic and the \emph{ordered paramagnetic} phase
frontier. Results achieved for systems with dimensions and exhibit
the main features of the continuous and first-order transitions in the TCP
neighborhoods. We also probe the phase coexistence in the -diagram and
the latent heat in the vicinity of the tricritical point locus.Comment: 20 pages, 11 figure
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