4,278 research outputs found
Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics
We develop a nonlinear mathematical model with the effect of awareness programs on the binge drinking. Due to the fact that awareness programs are capable of inducing behavioral changes in nondrinkers, we introduce a separate class by avoiding contacts with the heavy drinkers. Furthermore we assume that cumulative density of awareness programs increases at a rate proportional to the number of heavy drinkers. We establish some sufficient conditions for the stability of the alcohol free and the alcohol present equilibria and give some numerical simulations to explain our main result. Our results show that awareness programs is an effective measure in reducing alcohol problems
The edge engineering of topological Bi(111) bilayer
A topological insulator is a novel quantum state, characterized by
symmetry-protected non-trivial edge/surface states. Our first-principle
simulations show the significant effects of the chemical decoration on edge
states of topological Bi(111) bilayer nanoribbon, which remove the trivial edge
state and recover the Dirac linear dispersion of topological edge state. By
comparing the edge states with and without chemical decoration, the Bi(111)
bilayer nanoribbon offers a simple system for assessing conductance fluctuation
of edge states. The chemical decoration can also modify the penetration depth
and the spin texture of edge states. A low-energy effective model is proposed
to explain the distinctive spin texture of Bi(111) bilayer nanoribbon, which
breaks the spin-momentum orthogonality along the armchair edge.Comment: 5 pages, 5 figure
Production of single-charm hadrons by quark combination mechanism in -Pb collisions at TeV
If QGP-like medium is created in -Pb collisions at extremely high
collision energies, charm quarks that move in the medium can hadronize by
capturing the co-moving light quark(s) or anti-quark(s) to form the charm
hadrons. Using light quark spectra extracted from the experimental data
of light hadrons and a charm quark spectrum that is consistent with
perturbative QCD calculations, the central-rapidity data of spectra and
the spectrum ratios for mesons in the low range (
GeV) in minimum-bias -Pb collisions at TeV are well
described by quark combination mechanism in equal-velocity combination
approximation. The ratio in quark combination mechanism
exhibits the typical increase-peak-decrease behavior as the function of
, and the shape of the ratio for GeV is in agreement
with the preliminary data of ALICE collaboration in central rapidity region
and those of LHCb collaboration in forward rapidity region
. The global production of single-charm baryons is quantified using
the preliminary data and the possible enhancement (relative to light flavor
baryons) is discussed. The spectra of ,
in minimum-bias events and those of single-charm hadrons in high-multiplicity
event classes are predicted, which serves as the further test of the possible
change of the hadronization characteristic for low charm quarks in the
small system created in -Pb collisions at LHC energies.Comment: 13 pages, 8 figure
Projective-anticipating, projective, and projective-lag synchronization of time-delayed chaotic systems on random networks
We study projective-anticipating, projective, and projective-lag
synchronization of time-delayed chaotic systems on random networks. We relax
some limitations of previous work, where projective-anticipating and
projective-lag synchronization can be achieved only on two coupled chaotic
systems. In this paper, we can realize projective-anticipating and
projective-lag synchronization on complex dynamical networks composed by a
large number of interconnected components. At the same time, although previous
work studied projective synchronization on complex dynamical networks, the
dynamics of the nodes are coupled partially linear chaotic systems. In this
paper, the dynamics of the nodes of the complex networks are time-delayed
chaotic systems without the limitation of the partial-linearity. Based on the
Lyapunov stability theory, we suggest a generic method to achieve the
projective-anticipating, projective, and projective-lag synchronization of
time-delayed chaotic systems on random dynamical networks and find both the
existence and sufficient stability conditions. The validity of the proposed
method is demonstrated and verified by examining specific examples using Ikeda
and Mackey-Glass systems on Erdos-Renyi networks.Comment: 14 pages, 6 figure
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