21,437 research outputs found
The effect of the lateral interactions on the critical behavior of long straight rigid rods on two-dimensional lattices
Using Monte Carlo simulations and finite-size scaling analysis, the critical
behavior of attractive rigid rods of length k (k-mers) on square lattices at
intermediate density has been studied. A nematic phase, characterized by a big
domain of parallel k-mers, was found. This ordered phase is separated from the
isotropic state by a continuous transition occurring at a intermediate density
\theta_c, which increases linearly with the magnitude of the lateral
interactions.Comment: 7 pages, 6 figure
Search for the Higgs Boson at LHC in 3-3-1 Model
We present an analysis of production and signature of neutral Higgs boson
() on the version of the 3-3-1 model containing heavy leptons at the
Large Hadron Collider. We studied the possibility to identify it using the
respective branching ratios. Cross section are given for the collider energy,
14 TeV. Event rates and significances are discussed for two
possible values of integrated luminosity, 300 fb and 3000 fb.Comment: 17 pages 7 figures. arXiv admin note: substantial text overlap with
arXiv:1205.404
Perturbative evolution of the static configurations, quasinormal modes and quasi normal ringing in the Apostolatos - Thorne cylindrical shell model
We study the perturbative evolution of the static configurations, quasinormal
modes and quasi normal ringing in the Apostolatos - Thorne cylindrical shell
model. We consider first an expansion in harmonic modes and show that it
provides a complete solution for the characteristic value problem for the
finite perturbations of a static configuration. As a consequence of this
completeness we obtain a proof of the stability of static solutions under this
type of perturbations. The explicit expression for the mode expansion are then
used to obtain numerical values for some of the quasi normal mode complex
frequencies. Some examples involving the numerical evaluation of the integral
mode expansions are described and analyzed, and the quasi normal ringing
displayed by the solutions is found to be in agreement with quasi normal modes
found previously. Going back to the full relativistic equations of motion we
find their general linear form by expanding to first order about a static
solution. We then show that the resulting set of coupled ordinary and partial
differential equations for the dynamical variables of the system can be used to
set an initial plus boundary values problem, and prove that there is an
associated positive definite constant of the motion that puts absolute bounds
on the dynamic variables of the system, establishing the stability of the
motion of the shell under arbitrary, finite perturbations. We also show that
the problem can be solved numerically, and provide some explicit examples that
display the complete agreement between the purely numerical evolution and that
obtained using the mode expansion, in particular regarding the quasi normal
ringing that results in the evolution of the system. We also discuss the
relation of the present work to some recent results on the same model that have
appeared in the literature.Comment: 27 pages, 7 figure
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