Glasses have a large excess of low-frequency vibrational modes in comparison with most crystalline solids. We show that such a feature is a necessary consequence of the weak connectivity of the solid, and that the frequency of modes in excess is very sensitive to the pressure. We analyze, in particular, two systems whose density D(omega) of vibrational modes of angular frequency omega display s...

We study the dynamics of a quantum walker simultaneously subjected to time-independent and -dependent phases. Such emulates charged particle in lattice superposition static harmonic electric fields. With proper settings, we investigate possibility induce Bloch-like superoscillations, resulting from close tuning frequency phase $\ensuremath{\omega}$ that associated with regular oscillations ${\e...

By means of one-dimensional, electromagnetic, particle-in-cell simulations considering the effects energetic-ion injection, we study harmonic structure lower hybrid waves (LHWs) driven by energetic ions under condition where electron plasma frequency (${\ensuremath{\omega}}_{pe}$) is smaller than cyclotron (${\mathrm{\ensuremath{\Omega}}}_{e}$). It found that after LHWs are excited with wave nu...

We report the results related to the two-time dynamics of the coordinate of a quantum free particle, damped through its interaction with a fractal thermal bath (non-Ohmic coupling approximately omega(delta) with 0<delta <1 or 1<delta <2). When the particle is localized, its position does not age. When it undergoes anomalous diffusion, only its displacement may be defined. It is shown to be an a...

We show that gravitons with energy $E&lt;\mathrm{\ensuremath{\Omega}}$, where $\mathrm{\ensuremath{\Omega}}$ is the gap a localized nonrelativistic system, can be detected by finite-time interactions detector. Our detector based on quadrupole moment interaction between hydrogen atom and gravitational field in linearized approximation. In this model, external agent responsible for switching an o...

A Dirac-Fermi liquid (DFL)--a doped system with Dirac spectrum--is an important example of a non-Galilean-invariant Fermi (FL). Real-life realizations DFL include, e.g., graphene, surface states three-dimensional (3D) topological insulators, and 3D Dirac/Weyl metals. We study the optical conductivity arising from intraband electron-electron scattering. It is shown that effective current relaxat...

Using Okounkov’s q-integral representation of Macdonald polynomials we construct an infinite sequence $$\Omega _1,\Omega _2,\Omega _3,\dots $$ countable sets linked by transition probabilities from _N$$ to _{N-1}$$ for each $$N=2,3,\dots . The elements the are vertices extended Gelfand–Tsetlin graph, and depend on two parameters, q t. These data determine a family Markov chains, main result is ...

the biological effects of omega-3 and omega-6 fatty acids are determined by their mutual interactions. this interaction extremely affects various functions. lower consumption of omega-3 during gestation leads to various disorders, even in hearing. we aimed to assess the effect of low omega-3/omega-6 ratios on auditory nerve conduction. in this experimental study, the auditory brainstem response...