solute transport in unsaturated porous media can be viewed as a coupled phenomenon with waterand heat transport, together with mechanical behaviour of media. in this paper, solute transport is formulatedmathematically considering heat and water flow in deformable porous media. advection, dispersion anddiffusion of chemical species in the liquid phase are considered. convection and conduction fo...

Generic arguments lead to the idea that quantum gravity has a minimal length scale. A possible observational signal of such scale is photons should exhibit dispersion. In 2009, observation short gamma ray burst seemed push distances smaller than Planck length. This poses challenge for distance models. Here we propose modification position and momentum operators, xˆ pˆ, which scale, but preserve...

The effects of swirl and vaporization on droplet dispersion are investigated in the near region of a two-phase, swirling, heated jet. Simulations are based on the numerical solution of time-dependent, axisymmetric gas-phase equations.Droplets’ trajectories are tracked byusingaLagrangianapproach.Forall of the swirl cases investigated, the droplet dispersion exhibits a nonmonotonic behavior, with...

Dispersion relations provide a powerful tool to describe the electromagnetic form factors of the nucleon both in the spacelike and timelike regions with constraints from unitarity and perturbative QCD. We give a brief introduction into dispersion theory for nucleon form factors and present results from a recent form factor analysis. Particular emphasis is given to the form factors in the timeli...

We discuss a new method to treat the K → ππ amplitude dispersively, taking into full account the effects of final state interatcions. Our approach is based on a set of dispersion relations for the K → ππ amplitude, in which the weak Hamiltonian carries momentum. In these dispersion relations two subtraction constants have to be introduced, whereby one can be related via a soft pion theorem to t...

A new theory for the emergence of dispersion in shallow-water hydrodynamics in two horizontal-space dimensions is presented. Starting with the key properties of uniform flow in open channel hydraulics, it is shown that criticality is the key mechanism for generating dispersion. Modulation of the uniform flow then leads to model equations. The coefficients in the model equations are related prec...

Based on the postulate that photon propagation is governed by an SU(2) gauge principle we numerically compute the one-loop dispersion for thermalized photon propagation on the radiatively induced mass shell. Formerly, the dispersion was addressed by assuming p = 0. While this approximation turns out to be excellent for temperatures ≤ 2TCMB the exact result exhibits a much faster (power-like) sh...

In the exact propagator for finite temperature gluons the location of the transverse and longitudinal poles in the gluon propagator are unknown functions of wave vector: ωT (k) and ωL(k). The residues of the poles, also unknown, fix the normalization of the one gluon vector potential and thus of the field strength. The naive energy density ~ E · ~ D + ~ B · ~ H is not correct because of dispers...

A future muon collider or neutrino factory requires fast acceleration to minimize muon decay. We have previously described an FFAG ring that accelerated muons from 10 to 20 GeV in energy. The ring achieved its large momentum acceptance using a low-emittance lattice with a small dispersion. In this paper, we present an update on that ring. We have used design tools that more accurately represent...

The blow-up in finite time for the solutions to the initial-boundary value problem associated to the multi-dimensional quantum hydrodynamic model in a bounded domain is proved. The model consists on conservation of mass equation and a momentum balance equation equivalent to a compressible Euler equations corrected by a dispersion term of the third order in the momentum balance. The proof is bas...