2,083 research outputs found
A Mutual Attraction Model for Both Assortative and Disassortative Weighted Networks
In most networks, the connection between a pair of nodes is the result of
their mutual affinity and attachment. In this letter, we will propose a Mutual
Attraction Model to characterize weighted evolving networks. By introducing the
initial attractiveness and the general mechanism of mutual attraction
(controlled by parameter ), the model can naturally reproduce scale-free
distributions of degree, weight and strength, as found in many real systems.
Simulation results are in consistent with theoretical predictions.
Interestingly, we also obtain nontrivial clustering coefficient C and tunable
degree assortativity r, depending on and A. Our weighted model appears as
the first one that unifies the characterization of both assortative and
disassortative weighted networks.Comment: 4 pages, 3 figure
Deforming black holes with even multipolar differential rotation boundary
Motivated by the novel asymptotically global AdS solutions with deforming
horizon in [JHEP {\bf 1802}, 060 (2018)], we analyze the boundary metric with
even multipolar differential rotation and numerically construct a family of
deforming solutions with quadrupolar differential rotation boundary, including
two classes of solutions: solitons and black holes. In contrast to solutions
with dipolar differential rotation boundary, we find that even though the norm
of Killing vector becomes spacelike for certain regions of polar
angle when , solitons and black holes with quadrupolar
differential rotation still exist and do not develop hair due to superradiance.
Moreover, at the same temperature, the horizonal deformation of quadrupolar
rotation is smaller than that of dipolar rotation. Furthermore, we also study
the entropy and quasinormal modes of the solutions, which have the analogous
properties to that of dipolar rotation.Comment: 18 pages, 21 figure
General Dynamics of Topology and Traffic on Weighted Technological Networks
For most technical networks, the interplay of dynamics, traffic and topology
is assumed crucial to their evolution. In this paper, we propose a
traffic-driven evolution model of weighted technological networks. By
introducing a general strength-coupling mechanism under which the traffic and
topology mutually interact, the model gives power-law distributions of degree,
weight and strength, as confirmed in many real networks. Particularly,
depending on a parameter W that controls the total weight growth of the system,
the nontrivial clustering coefficient C, degree assortativity coefficient r and
degree-strength correlation are all in consistence with empirical evidences.Comment: 4 pages, 4 figure
Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity
We investigate the linear cosmological perturbations of Ho\v{r}ava-Lifshitz
gravity in a FRW universe without any matter. Our results show that a new gauge
invariant dynamical scalar mode emerges, due to the gauge transformation under
the "foliation-preserving" diffeomorphism and "projectability condition", and
it can produce a scale invariant power spectrum. In the infrared regime with
, the dynamical scalar degree of freedom turns to be a non-dynamical
one at the linear order level.Comment: 5pages, no figures, references added, version to appear in PRD(R
Analytical Studies on a Modified Nagel-Schreckenberg Model with the Fukui-Ishibashi Acceleration Rule
We propose and study a one-dimensional traffic flow cellular automaton model
of high-speed vehicles with the Fukui-Ishibashi-type (FI) acceleration rule for
all cars, and the Nagel-Schreckenberg-type (NS) stochastic delay mechanism. By
using the car-oriented mean field theory, we obtain analytically the
fundamental diagrams of the average speed and vehicle flux depending on the
vehicle density and stochastic delay probability. Our theoretical results,
which may contribute to the exact analytical theory of the NS model, are in
excellent agreement with numerical simulations.Comment: 3 pages previous; now 4 pages 2 eps figure
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