The diffusion of charged heavy particles in metals is discussed by the method of the density matrix, extending the Kagan-Klinger theory to include electron· particle interaction. This method can be applied to both cases of band·like and hopping-like diffusions. The diffusion of the particles at low temperatures is determined by electron-particle scattering and the overlap integral between two e...

in this paper we consider a nonlinear two-phase stefan problem in one-dimensional space. the problem is mapped into a nonlinear volterra integral equation for the free boundary.

This paper is concerned with the source-type of integral equation to compute the electromagnetic scattering by an inhomogeneous 3D object in a planar layered medium in the frequency domain. By decomposing the scattered field into a particular and a general constituent, the structure of the integral operator of the integral equation is constructed. The particular constituent represents the scatt...

Abstract The aim of intercultural translation is to communicate. Communication is acted via verbal as well as visual means. The interaction of verbal and visual means of communication makes a set of complex situations which demand special attention in translation. One context in which the interaction of visual and verbal elements gets vital importance is children’s picture books. Color is an in...

The most fundamental to the elementary particles is the mass they posses and it would be of importance to explore a possible relationship amongst their masses. Here, an attempt is made to investigate this important aspect irrespective of their nature or scheme of classification. We show that there exists a striking tendency for successive mass differences between elementary particles to be clos...

Using ab initio path-integral molecular dynamics, we show that water-hydroxyl overlayers on transition metal surfaces exhibit surprisingly pronounced quantum nuclear effects. The metal substrates serve to reduce the classical proton transfer barriers within the overlayers and, in analogy to ice under high pressure, to shorten the corresponding intermolecular hydrogen bonds. Depending on the sub...

The investigation of size dependent effects of supported clusters with integral methods like optical spectroscopy demands a low surface coverage so that agglomeration can be excluded. In addition the plasmon resonance depends strongly on interparticle interactions if the distance between neighboring particles is too small1,2. The threshold value for our experimental setup was determined experim...

Many aggregation operators like fuzzy integrals and similar require a preference relation as input. If the number of decision alternatives increases it becomes almost impossible to provide the exponentially increasing number of preference statements which are needed because a preference relation is defined upon the power set of the set of decision alternatives. If, as in many real world applica...

This paper describes an analysis of acoustic wave scattering by turbulent premixed flames with moving, convoluted fronts that have random and possibly fractal characteristics. Such interactions play a role in the characteristic unsteadiness observed in turbulent combustion processes. The problem is posed with an integral formulation of the wave equation and assumes that the smallest scales of f...

We investigate the properties of the collision operator Q associated to the linear Boltzmann equation for dissipative hard-spheres arising in granular gas dynamics. We establish that, as in the case of non–dissipative interactions, the gain collision operator is an integral operator whose kernel is made explicit. One deduces from this result a complete picture of the spectrum of Q in an Hilbert...