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

Molecular dynamics simulation of compression of single-layer graphene

The compression of a single-layer graphene sheet in the "zigzag" and "armchair" directions has been investigated using the molecular dynamics method. The distributions of the xy and yx stress components are calculated for atomic chains forming the graphene sheet. A graphene sheet stands significant compressive stresses in the "zigzag" direction and retains its integrity even at a strain of ∼0.35. At the same time, the stresses which accompany the compressive deformation of single-layer graphene in the "armchair" direction are more than an order in magnitude lower than corresponding characteristics for the "zigzag" direction. A compressive strain of ∼0.35 in the "armchair" direction fractures the graphene sheet into two parts. © 2013 Pleiades Publishing, Ltd

Generalized Gordon Identities, Hara Theorem and Weak Radiative Hyperon Decays

It is shown that an alternative form of the parity-nonconserving (PNC) transition electromagnetic current resolves partly a puzzle with the Hara theorem. New formulation of it has allowed PNC weak radiative hyperon transitions of the charged hyperons $\Sigma^{+} \Rightarrow p + \gamma$ and $\Xi^{-} \Rightarrow \Sigma^{-} + \gamma$ revealing hitherto unseen transition toroid dipole moment.Comment: LaTex, 7 pages, 2 tables added, text also change

Toroidal quadrupole transitions associated to collective rotational-vibrational motions of the nucleus

In the frame of the algebraic Riemann Rotational Model one computes the longitudinal, transverse and toroidal multipoles corresponding to the excitations of low-lying levels in the ground state band of several even-even nuclei by inelastic electron scattering (e,e'). Related to these transitions a new quantity, which accounts for the deviations from the Siegert theorem, is introduced. The intimate connection between the nuclear vorticity and the dynamic toroidal quadrupole moment is underlined. Inelastic differential cross-sections calculated at backscattering angles shows the dominancy of toroidal form-factors over a broad range of momentum transfer.Comment: 11 pages in LaTex, 3 figures available by fax or mail, accepted for publication in J.Phys.

The role of the family in shaping the asocial behavior of adolescents

Reasons for the emergence of asocial behavior of adolescents in the evaluation of scientific studies by authors such as Furmanova I.A, Bochkaryova R.R, Kleiberga Y. A. and others are ambiguous. For children with chronic disorders, a difficult family situation is typical, characterized by insufficient relationship warmth and inconsistent, ineffective, or exceptionally harsh (or very weak) discipline. As a rule, these are single or conflict families. Children with behavioral disorders generally come from families with at least four or five children. The reasons why children are particularly at risk in such cases are not yet sufficiently clear. This risk is apparently due to the complication of the upbringing of several children and to some extent the greater likelihood of differences in the large family