The goal of this study is to investigate the effect of the initial stress and transverse isotropy on the dispersion relation of flexural wave in a conducting circular cylinder subject to the initial state of stress of the form of hydrostatic tension or compression. The free stress conditions on the inner and outer surfaces of the hollow circular cylinder were used to form the dispersion relatio...

The dispersive behaviour of high-order Nédélec element approximation of the time harmonic Maxwell equations at a prescribed temporal frequency omega on tensor-product meshes of size h is analysed. A simple argument is presented, showing that the discrete dispersion relation may be expressed in terms of that for the approximation of the scalar Helmholtz equation in one dimension. An explicit for...

We investigate giant magnons from classical rotating strings in two different backgrounds. First we generalize the solution of Hofman and Maldacena and investigate magnon excitations of a spin chain which are dual to a string on R× S with three nonvanishing angular momenta. We find a dispersion relation similar to that of Hofman and Maldacena and to the one found by Dorey for the two spin case ...

21 Waves in Cold Plasmas: Two-Fluid Formalism 1 21.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 21.2 Dielectric Tensor, Wave Equation, and General Dispersion Relation . . . . . 3 21.3 Two-Fluid Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 21.4 Wave Modes in an Unmagnetized Plasma . . . . . . . . . . . . . . . . . . . . 7 2...

Motivated by the effect of matter on neutrino oscillations (the MSW effect) we study in more detail the propagation of neutrinos in a dense medium. The dispersion relation for massive neutrinos in a medium is known to have a minimum at nonzero momentum p ∼ GF ρ/ √ 2. We study in detail the origin and consequences of this dispersion relation for both Dirac and Majorana neutrinos both in a toy mo...

A wavelet-based multiscale methodology is presented that naturally addresses time scaling in addition to spatial scaling. The method combines recently developed atomistic-continuum models and wavelet analysis. An atomistic one-dimensional harmonic crystal is coupled to a one-dimensional continuum. The methodology is illustrated through analysis of the dispersion relation, which is highly disper...

21 Waves in Cold Plasmas: Two-Fluid Formalism 1 21.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 21.2 Dielectric Tensor, Wave Equation, and General Dispersion Relation . . . . . 3 21.3 Two-Fluid Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 21.4 Wave Modes in an Unmagnetized Plasma . . . . . . . . . . . . . . . . . . . . 7 2...

We have experimentally measured the dispersion relation of spiral waves in the BelousovZhabotinsky reaction in an open spatial reactor, for different concentrations. Appropriate rescaling permits the collapse of all data onto a single line. From this, we infer an analytic form for the dispersion relation, which only depends on two physical quantities. In particular, this relation implies that t...

Phonons in a one-dimensional chain of charged microspheres suspended in a plasma were studied in an experiment. The phonons correspond to random particle motion in the chain; no external manipulation was applied to excite the phonons. Two modes were observed, longitudinal and transverse. The velocity fluctuations in the experiment are analyzed using current autocorrelation functions and a phono...

The classical kinetic modes, such as the Bernstein mode, the loss cone modes, and the Harris dispersion relation are reconstructed from a fluid-like analysis. The analysis begins with a delta function in the equilibrium distribution. By simply calculating the displacement of a single electron exposed to a small signal electric field, the charge perturbation density, and the dispersion relation,...