Introduction: Pulsed field gradient diffusion sequences with multiple diffusion encoding blocks have recently gained renewed interest in the magnetic resonance community. Some of the properties that appear promising in terms of applications are the ability to measure pore sizes, detect anisotropic pores in macroscopically isotropic media, and the enhancement of diffraction peaks [1-3]. Here we ...

The signals of water in the different compartments of rat sciatic nerve are resolved in the (2)H double-quantum-filtered NMR spectrum, due to their different quadrupolar splittings and relaxation rates. This resolution allowed the independent measurement of the water diffusion coefficients in the different compartments. The water diffusion in all three compartments, the endoneurium, the epineur...

In this paper we extend anisotropic diffusion with a diffusion tensor to be applicable to data that is well modeled by linear models. We focus on its variational theory, and investigate simple discretizations and their performance on synthetic data fulfilling the underlying linear models. To this end, we first show that standard anisotropic diffusion with a diffusion tensor is directly linked t...

The “double diffusivity” model was proposed in the late seventies, and reworked in the early eighties, as a continuum counterpart to existing discrete models of diffusion corresponding to high diffusivity paths, such as grain boundaries and dislocation lines. It was later rejuvenated in the nineties to interpret experimental results on diffusion in polycrystalline and nanocrystalline specimens ...

The dissociative mechanism of nickel in silicon has been studied experimentally, assuming the near equilibrium represented by eq s eq V eq i s V i / / C C C C C C = , where subscripts i, V, and s represent interstitial nickel atoms, vacancies, and substitutional nickel atoms, respectively, superscript eq represents the thermal equilibrium, and A C is the concentration of component A. However, t...

A diffusion-controlled theory is developed for the formation of a low-pressure, current-free double layer just inside an upstream insulating source chamber connected to a larger diameter, downstream chamber. The double layer is described using four groups of charged particles: thermal ions, monoenergetic accelerated ions flowing downstream, accelerated electrons flowing upstream, and thermal el...

Purpose – The purpose of this paper is to apply the organizational learning framework to the management accounting literature to better understand why management accounting innovations succeed or fail in organizations. Design/methodology/approach – A theoretical framework integrating diffusion and organization learning theories is developed. Diffusion theory is used to describe the process wher...

We present the Witten and the double Darboux constructions as applied to the diffusion of thermal neutrons from an infinitely long line source. Supersymmetric one-dimensional quantum mechanics has been introduced in 1981 as a toy model for symmetry-breaking phenomena in quantum field theory [1]. With great speed its status has changed to a powerful research discipline as one can contemplate in ...

‎an  oriented perfect path double cover (oppdc) of a‎ ‎graph $g$ is a collection of directed paths in the symmetric‎ ‎orientation $g_s$ of‎ ‎$g$ such that‎ ‎each arc‎ ‎of $g_s$ lies in exactly one of the paths and each‎ ‎vertex of $g$ appears just once as a beginning and just once as an‎ ‎end of a path‎. ‎maxov{'a} and ne{v{s}}et{v{r}}il (discrete‎ ‎math‎. ‎276 (2004) 287-294) conjectured that ...