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Collision And Diffusion In Microwave Breakdown Of Nitrogen Gas In And Around Microgaps
Get PDFThe microwave induced breakdown of N-2 gas in microgaps was modeled using the collision frequency between electrons and neutral molecules and the effective electric field concept. Low pressure breakdown at the threshold electric field occurs outside the gap, but at high pressures it is found to occur inside the microgap with a large threshold breakdown electric field corresponding to a very large electron oscillation amplitude. Three distinct pressure regimes are apparent in the microgap breakdown: a low pressure multipactor branch, a mid-pressure Paschen branch, both of which occur in the space outside the microgap, and a high pressure diffusion-drift branch, which occurs inside the microgap. The Paschen and diffusion-drift branches are divided by a sharp transition and each separately fits the collision frequency model. There is evidence that considerable electron loss to the microgap faces accompanies the diffusion-drift branch in microgaps. (C) 2014 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License
A New Model of Creativity in Mathematical Problem Solving
No full textMyriad definitions of creativity in mathematics have been promulgated (Mann, 2005). The construct of creativity being comprised of fluency, flexibility, originality, and elaboration (Haylock, 1997; Imai, 2000; Kim, Cho, & Ahn, 2003) is generally agreed upon in the field of mathematics education. The purpose of this paper is to propose an additional component to the construct of creativity in mathematics. The fifth component of creativity is iconoclasm. Iconoclasm entails the penchant of mathematically creative individuals to dissent from commonly accepted principles and solutions. Iconoclasts are known to be nonconformist and may thus be open to uncommon or non-traditional solution paths
Measurement of quasiparticle transport in aluminum films using tungsten transition-edge sensors
Get PDFWe report on experimental studies of phonon sensors which utilize quasiparticle diusion in thin aluminum films connected to tungsten transition-edge-sensors (TESs) operated at 35 mK. We show that basic TES physics and a simple physical model of the overlap region between the W and Al lms in our devices enables us to accurately reproduce the experimentally observed pulse shapes from x-rays absorbed in the Al films. We further estimate quasiparticle loss in Al lms using a simple diusion equation approach. These studies allow the design of phonon sensors with improved performance
Compton Scattering In Strong Magnetic Fields: Spin-dependent Influences At The Cyclotron Resonance
No full textThe quantum electrodynamical (QED) process of Compton scattering in strong magnetic fields is commonly invoked in atmospheric and inner magnetospheric models of x-ray and soft gamma-ray emission in high-field pulsars and magnetars. A major influence of the field is to introduce resonances at the cyclotron frequency and its harmonics, where the incoming photon accesses thresholds for the creation of virtual electrons or positrons in intermediate states with excited Landau levels. At these resonances, the effective cross section typically exceeds the classical Thomson value by over 2 orders of magnitude. Near and above the quantum critical magnetic field of 44.13 TeraGauss, relativistic corrections must be incorporated when computing this cross section. This profound enhancement underpins the anticipation that resonant Compton scattering is a very efficient process in the environs of highly magnetized neutron stars. This paper presents formalism for the QED magnetic Compton differential cross section valid for both subcritical and supercritical fields, yet restricted to scattered photons that are below pair creation threshold. Calculations are developed for the particular case of photons initially propagating along the field, and in the limit of zero vacuum dispersion, mathematically simple specializations that are germane to interactions involving relativistic electrons frequently found in neutron star magnetospheres. This exposition of relativistic, quantum, magnetic Compton cross sections treats electron spin dependence fully, since this is a critical feature for describing the finite decay lifetimes of the intermediate states. Such lifetimes are introduced to truncate the resonant cyclotronic divergences via standard Lorentz profiles. The formalism employs both the traditional Johnson and Lippmann (JL) wave functions and the Sokolov and Ternov (ST) electron eigenfunctions of the magnetic Dirac equation. The ST states are formally correct for self-consistently treating spin-dependent effects that are so important in the resonances. It is found that the values of the polarization-dependent differential cross section depend significantly on the choice of ST or JL eigenstates when in the fundamental resonance but not outside of it, a characteristic that is naturally expected. Relatively compact analytic forms for the cross sections are presented that will prove useful for astrophysical modelers
Martyrdom/Persecution
No full textKierkegaard’s Concepts is a comprehensive, multi-volume survey of the key concepts and categories that inform Kierkegaard’s writings. Each article is a substantial, original piece of scholarship, which discusses the etymology and lexical meaning of the relevant Danish term, traces the development of the concept over the course of the authorship, and explains how it functions in the wider context of Kierkegaard’s thought. Concepts have been selected on the basis of their importance for Kierkegaard’s contributions to philosophy, theology, the social sciences, literature and aesthetics, thereby making this volume an ideal reference work for students and scholars in a wide range of disciplines
