8,470 research outputs found
Klein-Gordon oscillator in a topologically nontrivial space-time
In this study, we analyze solutions of the wave equation for scalar particles
in a space-time with nontrivial topology. Solutions for the Klein--Gordon
oscillator are found considering two configurations of this space-time. In the
first one, it is assumed the space where the metric is
written in the usual inertial frame of reference. In the second case, we
consider a rotating reference frame adapted to the circle S1. We obtained
compact expressions for the energy spectrum and for the particles wave
functions in both configurations. Additionally, we show that the energy
spectrum of the solution associated to the rotating system has an additional
term that breaks the symmetry around
Cosmological simulations with disformally coupled symmetron fields
We investigate statistical properties of the distribution of matter at
redshift zero in disformal gravity by using N-body simulations. The disformal
model studied here consists of a conformally coupled symmetron field with an
additional exponential disformal term. We conduct cosmological simulations to
discover the impact of the new disformal terms in the matter power spectrum,
halo mass function, and radial profile of the scalar field. We calculated the
disformal geodesic equation and the equation of motion for the scalar field. We
then implemented these equations into the N-body code ISIS, which is a modified
gravity version of the code RAMSES. The presence of a conformal symmetron field
increases both the power spectrum and mass function compared to standard
gravity on small scales. Our main finding is that the newly added disformal
terms tend to counteract these effects and can make the evolution slightly
closer to standard gravity. We finally show that the disformal terms give rise
to oscillations of the scalar field in the centre of the dark matter haloes.Comment: Updated version to reflect the journal accepted paper. Added one
figure. 7 pages, 7 figure
Comparison of the physical properties of vermicompost from paper mill sludge and green compost as substitutes for peat-based potting media
The properties of vermicompost, green compost, and their mixes as substitutes for peat were evaluated regarding their recommendation for potting media. The mixes with a maximum of 50% of vermicompost or green compost had acceptable air filled porosity (AFP) and easily available water (EAW). In the vermicompost the level of organic matter (OM), dry bulk density (DBD) and shrinkage were acceptable; however, the AFP and EAW together were not at the recommended level in the different batches; as a consequence, vermicompost should not be used alone for potting media. In the green compost, the level of OM was low which increased the DBD and consequently the AFP was diminished. The particle size distribution (PSD) was different among peat, vermicompost and green compost. The coarse peat had the lower proportion of particles from 0.25 to 2.00 mm (41%) whereas the green compost had the lower coarseness index (CI: percentage by weight of particles larger than 0.5 mm in diameter), 48.4%. The direct effect of the PSD, OM and DBD in the water and air availability was confirmed. Moreover, there were high correlations between the OM, DBD, shrinkage, pore volume and PSD with the water release curve. Those properties should be considered in order to increase the level of substitution of vermicompost in peat-based potting media
Very large scale structures in growing neutrino quintessence
A quintessence scalar field or cosmon interacting with neutrinos can have
important effects on cosmological structure formation. Within growing neutrino
models the coupling becomes effective only in recent times, when neutrinos
become non-relativistic, stopping the evolution of the cosmon. This can explain
why dark energy dominates the universe only in a rather recent epoch by
relating the present dark energy density to the small mass of neutrinos. Such
models predict the presence of stable neutrino lumps at supercluster scales
(~200 Mpc and bigger), caused by an attractive force between neutrinos which is
stronger than gravity and mediated by the cosmon. We present a method to follow
the initial non-linear formation of neutrino lumps in physical space, by
integrating numerically on a 3D grid non-linear evolution equations, until
virialization naturally occurs. As a first application, we show results for
cosmologies with final large neutrino average mass ~2 eV: in this case,
neutrino lumps indeed form and mimic very large cold dark matter structures,
with a typical gravitational potential 10^{-5} for a lump size ~10 Mpc, and
reaching larger values for lumps of about 200 Mpc. A rough estimate of the
cosmological gravitational potential at small k in the non-linear regime,
Phi_nu = 10^{-6} (k/k_0)^{-2}, 1.2x10^{-2} h/Mpc < k_0 < 7.8x10^{-2} h/Mpc,
turns out to be many orders of magnitude smaller than an extrapolation of the
linear evolution of density fluctuations. The size of the neutrino-induced
gravitational potential could modify the spectrum of CMB anisotropies for small
angular momenta.Comment: 17 pages, 16 figures, accepted for publication in Physical Review D,
minor changes and correction
Casimir Effect in the Rainbow Einstein's Universe
In the present paper we investigate the effects caused by the modification of
the dispersion relation obtained by solving the Klein-Gordon equation in the
closed Einstein's universe in the context of rainbow's gravity models. Thus, we
analyse how the quantum vacuum fluctuations of the scalar field are modified
when compared with the results obtained in the usual General Relativity
scenario. The regularization, and consequently the renormalization, of the
vacuum energy is performed adopting the Epstein-Hurwitz and Riemann's zeta
functions.Comment: 15 pages, 1 figure. To appear in Europhysics Letter
Momentum Space Regularizations and the Indeterminacy in the Schwinger Model
We revisited the problem of the presence of finite indeterminacies that
appear in the calculations of a Quantum Field Theory. We investigate the
occurrence of undetermined mathematical quantities in the evaluation of the
Schwinger model in several regularization scenarios. We show that the
undetermined character of the divergent part of the vacuum polarization tensor
of the model, introduced as an {\it ansatz} in previous works, can be obtained
mathematically if one introduces a set of two parameters in the evaluation of
these quantities. The formal mathematical properties of this tensor and their
violations are discussed. The analysis is carried out in both analytical and
sharp cutoff regularization procedures. We also show how the Pauli Villars
regularization scheme eliminates the indeterminacy, giving a gauge invariant
result in the vector Schwinger model.Comment: 10 pages, no figure
Paramagnetic reentrant effect in high purity mesoscopic AgNb proximity structures
We discuss the magnetic response of clean Ag coated Nb proximity cylinders in
the temperature range 150 \mu K < T < 9 K. In the mesoscopic temperature
regime, the normal metal-superconductor system shows the yet unexplained
paramagnetic reentrant effect, discovered some years ago [P. Visani, A. C.
Mota, and A. Pollini, Phys. Rev. Lett. 65, 1514 (1990)], superimposing on full
Meissner screening. The logarithmic slope of the reentrant paramagnetic
susceptibility chi_para(T) \propto \exp(-L/\xi_N) is limited by the condition
\xi_N=n L, with \xi_N=\hbar v_F/2 \pi k_B T, the thermal coherence length and
n=1,2,4. In wires with perimeters L=72 \mu m and L=130 \mu m, we observe
integer multiples n=1,2,4. At the lowest temperatures, \chi_para compensates
the diamagnetic susceptibility of the \textit{whole} AgNb structure.Comment: 4 pages, 4 figures (color
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