A modal stability analysis shows that plane Poiseuille flow of an Oldroyd-B fluid becomes unstable to a `center mode' with phase speed close the maximum base-flow velocity, $U_{max}$. The governing dimensionless groups are Reynolds number $Re = \rho U_{max} H/\eta$, elasticity $E \lambda \eta/(H^2\rho)$, and ratio solvent solution viscosity $\eta_s/\eta$; here, $\lambda$ is polymer relaxation t...

We use wave packet mode quantization to compute the creation of massless scalar quantum particles in a colliding plane wave spacetime. The background spacetime represents the collision of two gravitational shock waves followed by trailing gravitational radiation which focus into a Killing-Cauchy horizon. The use of wave packet modes simplifies the problem of mode propagation through the differe...

The measurement of phase is essential in the balancing of singleor multi-plane balancing of rotating machinery. The rate of change of phase is important, as it may indicate the presence of a critical speed, and from the rate of change of phase one may be able to deduce the amplification factor or log decrement of a particular mode. Having a phase reference mark is particularly critical on compl...

We investigate a two-dimensional Ising model with long-range interactions that emerge from a generalization of the magnetic dipolar interaction in spin systems with in-plane spin orientation. This interaction is, in general, anisotropic whereby in the present work we focus on the isotropic case for which the model is found to be at its upper critical dimensionality. To investigate the critical ...

In the quasi-two-dimensional (quasi-2D) copper- and iron-based superconductors, onset of superconductivity is accompanied by a prominent peak in magnetic spectrum at momenta close to wave-vector nearby antiferromagnetic state. Such well described terms spin resonance mode, i.e., spin-1 exciton theoretically predicted for quasi-2D superconductors with sign-changing gap. The same theories, howeve...