The diverging and converging components of localized wave solutions are studied within the framework of both the Whittaker and Weyl plane wave expansions. The specific example of the splash pulse is considered because its evanescent components could be derived in an explicit closed form. It is shown that, in the Weyl picture, the evanescent fields associated with the diverging and converging co...

We show that finite-size scaling techniques can be employed to study the glass transition. Our results follow from the postulate of a diverging dynamical correlation length at the glass transition whose physical manifestation is the presence of dynamical heterogeneities. We introduce a parameter B(T,L) whose temperature, T, and system size, L, dependences permit a precise location of the glass ...

We consider the 3D quantum many-body dynamics describing a dilute bose gas with strong confining in one direction. We study the corresponding BBGKY hierarchy which contains a diverging coefficient as the strength of the confining potential tends to ∞. We find that this diverging coefficient is counterbalanced by the limiting structure of the density matrices and establish the convergence of the...

At diverging junctions in vehicular traffic networks, congestion on one outgoing link may impede traffic flow to other outgoing links. This phenomenon is referred to as the first-in-first-out (FIFO) property. Traffic network models that do not include the FIFO property result in monotone dynamics for which powerful analysis techniques exist. This note shows that a large class of FIFO network mo...

The excitation-chain theory of the glass transition, proposed in an earlier publication, predicts diverging, super-Arrhenius relaxation times and, via a similarly diverging length scale, suggests a way of understanding the relations between dynamic and thermodynamic properties of glass-forming liquids. I argue here that critically large excitation chains play a role roughly analogous to that pl...

We exploit the framework of diverging viewing-lines where cameras do not share the common field of view, and propose a method for incrementally estimating ego motion using two mounted active cameras. Our method independently controls the two cameras so that each camera automatically fixates its optical axis to its own fixation point. This camera control allows diverging viewing-lines of the two...

Abstract Jet-Electrochemical machining (Jet-ECM) is a novel variation of traditional electrochemical in which electrically conductive material removed through anodic dissolution by means fine jet electrolyte. In this study, the effect nozzle geometry on removal characteristics are investigated physical experiments performed Jet-ECM system under development at university Manchester. A total 8 no...