Dual Killing-Yano symmetry and multipole moments in electromagnetism and mechanics of continua

In this work we introduce the Killing-Yano symmetry on the phase space and we investigate the symplectic structure on the space of Killing-Yano tensors. We perform the detailed analyze of the $n$-dimensional flat space and the Riemaniann manifolds with constant scalar curvature. We investigate the form of some multipole tensors, which arise in the expansion of a system of charges and currents, in terms of second-order Killing-Yano tensors in the phase space of classical mechanics. We find some relations between these tensors and the generators of dynamical symmetries like the angular momentum, the mass-inertia tensor, the conformal operator and the momentum conjugate Runge-Lenz vector.Comment: 11 pages LaTeX, no figures, content enlarged and revised, accepted for publication in Helvetica Physica Act

Nuclear collective dynamics within Vlasov approach

We discuss, in an investigation based on Vlasov equation, the properties of the isovector modes in nuclear matter and atomic nuclei in relation with the symmetry energy. We obtain numerically the dipole response and determine the strength function for various systems, including a chain of Sn isotopes. We consider for the symmetry energy three parametrizations with density providing similar values at saturation but which manifest very different slopes around this point. In this way we can explore how the slope affects the collective response of finite nuclear systems. We focus first on the dipole polarizability and show that while the model is able to describe the expected mass dependence, A^{5/3}, it also demonstrates that this quantity is sensitive to the slope parameter of the symmetry energy. Then, by considering the Sn isotopic chain, we investigate the emergence of a collective mode, the Pygmy Dipole Resonance (PDR), when the number of neutrons in excess increases. We show that the total energy-weighted sum rule exhausted by this mode has a linear dependence with the square of isospin I=(N-Z)/A, again sensitive to the slope of the symmetry energy with density. Therefore the polarization effects in the isovector density have to play an important role in the dynamics of PDR. These results provide additional hints in the investigations aiming to extract the properties of symmetry energy below saturation.Comment: 7 pages, 6 figure

Deconfinement in Matrix Models about the Gross--Witten Point

We study the deconfining phase transition in SU(N) gauge theories at nonzero temperature using a matrix model of Polyakov loops. The most general effective action, including all terms up to two spatial derivatives, is presented. At large N, the action is dominated by the loop potential: following Aharony et al., we show how the Gross--Witten model represents an ultra-critical point in this potential. Although masses vanish at the Gross--Witten point, the transition is of first order, as the fundamental loop jumps only halfway to its perturbative value. Comparing numerical analysis of the N=3 matrix model to lattice simulations, for three colors the deconfining transition appears to be near the Gross--Witten point. To see if this persists for N >= 4, we suggest measuring within a window ~1/N^2 of the transition temperature.Comment: 22 pages, 7 figures; revtex4. A new Fig. 2 illustrates a strongly first order transition away from the GW point; discussion added to clarify relation to hep-th/0310285. Conclusions include a discussion of recent lattice data for N>3, hep-lat/0411039 and hep-lat/050200

OPPORTUNITIES AND CHALLENGES TO SUSTAINABILITY IN HIDROPONIC SYSTEMS– REVIEW

Hydroponics is a viable solution to obtain intensive agriculture, in terms of producing vegetables and fruits as tasty and nutritious as those produced in classical crops. In the current changing climatic conditions, it can be a viable solution for obtaining high quality food. In addition, the system allows establishment of crops, which do not require the use of soil or manure, but only water that contains various dissolved nutrients. This agricultural cropping technology involves the use of various fertilizers instead of soil for the growth and development of plants. The light needed to develop the plates can come from the sun, or can be produced by renewable energy sources

Multicolor vortex solitons in two-dimensional photonic lattices

We report on the existence and stability of multicolor lattice vortex solitons constituted by coupled fundamental frequency and second-harmonic waves in optical lattices in quadratic nonlinear media. It is shown that the solitons are stable almost in the entire domain of their existence, and that the instability domain decreases with the increase of the lattice depth. We also show the generation of the solitons, and the feasibility of the concept of lattice soliton algebra.Comment: 18 pages,6 figures. To appear in Physical Review

Spatiotemporal discrete multicolor solitons

We have found various families of two-dimensional spatiotemporal solitons in quadratically nonlinear waveguide arrays. The families of unstaggered odd, even and twisted stationary solutions are thoroughly characterized and their stability against perturbations is investigated. We show that the twisted and even solutions display instability, while most of the odd solitons show remarkable stability upon evolution.Comment: 18 pages,7 figures. To appear in Physical Review

CONSIDERATIONS CONCERNING THE COMPOSTING OF ORGANIC WASTE

Compost means a product obtained by an aerobic, thermophilic, decomposition process and microbial synthesis of the organic substances in the residual products, which contains over 25% relatively stable humus predominantly composed of microbial biomass and which is subsequently subjected to a slight decomposition. stable enough not to reheat or cause problems with smell or breeding of insects and has the ratio C: N = 10-15 Regardless of its origin and nature, organic matter, depending on the conditions of aeration and humidity, evolves towards a new qualitative state, relatively stable to biodegradation, characterized by a humus-likeC:Nratio. Â

PARAMETERS OF THE IMMUNOLOGICAL PROFILE IN CHICKENS TREATED WITH A CALENDULA OFFICINALIS EXTRACTION

Tests were carried out on thirty, 42 days old Rock x Cornish chickens, divided into three experimental groups: I - control injected with saline, II - injected with a Calendula officinalis extraction supplemented with Bayol and III - treated with Bayol. The effects of the in vivo treatments and simultaneous antigen priming (0.5 ml of a 5 % suspension of SRBC) on their humoral (lysozyme, anti-SRBC antibodies) and cell-mediated (leucocyte blast transformation) responses were investigated. Lysozyme (51.50 ± 32.30, 56.80 ± 41.27, 29.50 ± 22.73 μg/ml)(p<0.05), and anti-SRBC antibody titers (2.35 ± 0.86, 2.05 ± 0.65 and 1.90 ± 0.55) were the lowest in Bayol treated group. Spontaneous stimulation index was positively influenced by the in vivo Bayol therapy (57.20 ± 8.88 per cent), when compared to that recorded for the other groups (31.06 ± 18.93 group I, 33.37 ± 19.26 group II)