19,967 research outputs found
Dynamical analysis for a vector-like dark energy
In this paper we perform a dynamical analysis for a vector field as a
candidate for the dark energy, in the presence of a barothropic fluid. The
vector is one component of the so-called cosmic triad, which is a set of three
identical copies of an abelian field pointing mutually in orthogonal
directions. In order to generalize the analysis, we also assumed the
interaction between dark energy and the barotropic fluid, with a
phenomenological coupling. Both matter and dark energy eras can be successfully
described by the critical points, indicating that the dynamical system theory
is a viable tool to analyze asymptotic states of such cosmological models.Comment: 6 pages, 3 figures, version to appear in EPJ
Simply modified GKL density classifiers that reach consensus faster
The two-state Gacs-Kurdyumov-Levin (GKL) cellular automaton has been a staple
model in the study of complex systems due to its ability to classify binary
arrays of symbols according to their initial density. We show that a class of
modified GKL models over extended neighborhoods, but still involving only three
cells at a time, achieves comparable density classification performance but in
some cases reach consensus more than twice as fast. Our results suggest the
time to consensus (relative to the length of the CA) as a complementary measure
of density classification performance.Comment: Short note, 3 pages, 1 table, 2 composite figures, 18 reference
Sensitivity to noise and ergodicity of an assembly line of cellular automata that classifies density
We investigate the sensitivity of the composite cellular automaton of H.
Fuk\'{s} [Phys. Rev. E 55, R2081 (1997)] to noise and assess the density
classification performance of the resulting probabilistic cellular automaton
(PCA) numerically. We conclude that the composite PCA performs the density
classification task reliably only up to very small levels of noise. In
particular, it cannot outperform the noisy Gacs-Kurdyumov-Levin automaton, an
imperfect classifier, for any level of noise. While the original composite CA
is nonergodic, analyses of relaxation times indicate that its noisy version is
an ergodic automaton, with the relaxation times decaying algebraically over an
extended range of parameters with an exponent very close (possibly equal) to
the mean-field value.Comment: Typeset in REVTeX 4.1, 5 pages, 5 figures, 2 tables, 1 appendix.
Version v2 corresponds to the published version of the manuscrip
Cosmological tracking solution and the Super-Higgs mechanism
In this paper we argue that minimal supergravity with flat K\"ahler metric
and a power-law superpotential can relate the Super-Higgs mechanism for the
local spontaneous supersymmetry breaking and the cosmological tracking
solution, leading in turn to a late-time accelerated expansion of the universe
and alleviating the coincidence problem.Comment: 5 pages, 1 figure, minor corrections, to appear in EPJ
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