We investigate the longitudinal dispersion of passive tracers in a transversely bounded shear ow. The ow is assumed to be temporally irregular, but to possess smooth large scale spatial structure without signiicant small spatial scale motions. We show that, the existence of a region where the longitudinal velocity goes to zero linearly with 1 distance from the wall causes the tracers to \stick"...

We have investigated the atomisation of a thick liquid film by high speed co-flowing gas jet. The study is focused on the mechanisms controlling the drop spatial distribution downstream injection. These results are needed for properly initializing two-fluid euler-euler [1] or lagrangian [2] simulations. Measurements of the drop characteristics (concentration, velocity, size),available downstrea...

Conventionally, unitary transformations on optical modes have been implemented on a spatial basis set using a system of beamsplitters and phase shifters. We present methods which allow orders of magnitude increase in the number of modes in linear optics experiments by moving from spatial encoding to temporal encoding and using dispersion. This enables significant practical advantages for linear...

New Runge–Kutta methods for method of lines solution of systems of ordinary differential equations arising from discretizations of spatial derivatives in hyperbolic equations, by Chebyshev or modified Chebyshev methods, are introduced. These Runge–Kutta methods optimize the time step necessary for stable solutions, while holding dispersion and dissipation fixed. It is found that maximizing disp...

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...

Dispersion of air pollution depends upon various factors including weather conditions, topography and local situation, causing large variation, even in small areas. In addition to mathematical dispersion models and interpolation methods, remote sensing can improve mapping of the spatial distribution of urban air pollution, although no dedicated sensors exist. We used aerosol optical thickness, ...

Absorption of electromagnetic waves in a medium is generally manipulated by controlling the frequency dispersion of constitutive parameters. However, it is still challenging to gain the desired constitutive parameters for customized absorption over a broad frequency range. Here, by virtue of spoof surface plasmonic polaritons (SPPs), we demonstrate capabilities of the spatial k-dispersion engin...

Spatial dispersion of action potential duration (APD) is a substrate for the maintenance of cardiac fibrillation, but the mechanisms are poorly understood. We investigated the role played by spatial APD dispersion in fibrillatory dynamics. We used an in vitro model in which spatial gradients in the expression of ether-à-go-go-related (hERG) protein, and thus rapid delayed rectifying K(+) curren...

Mars Atmosphere and Volatile Evolution Mission’s (MAVEN) high-cadence measurements reveal the frequent occurrence of ion energy dispersion events inside the Martian magnetosphere. The systematics of observed dispersion signatures suggest time dispersion of a broad source spectrum over a flight distance of a few thousand kilometers and disfavormechanisms involving spatial dispersion. Pickup of h...

I describe three ways that the spatial properties of a wave propagation medium can cause dispersion, and propose they should form basics for correctly understanding naming phenomena described as "spatial dispersion". In particular, emphasise specific which generate resulting dispersive -- i.e. spatially behaviour. The mechanisms are geometry, structure, dynamics.