Influence of the pseudopotential on the properties of liquid rubidium at 315 K

The influence of the pseudopotential on both the structure and the self-diffusion of liquid rubidium at the melting point has been investigated by means of molecular-dynamics calculations. The model potential considered has been computed from the pseudopotential of Ashcroft, the dielectric function of Geldart and Vosko, and a Born-Mayer term. Four different values for the core radius which enters as input in the pseudopotential have been considered. In this way we have been able to observe and interpret the effect of this contribution on the properties of the liquid.

Critical review of coupled flux formulations for clay membranes based on nonequilibrium thermodynamics

Extensive research conducted over the past several decades has indicated that semipermeable membrane behavior (i.e., the ability of a porous medium to restrict the passage of solutes) may have a significant influence on solute migration through a wide variety of clay-rich soils, including both natural clay formations (aquitards, aquicludes) and engineered clay barriers (e.g., landfill liners and vertical cutoff walls). Restricted solute migration through clay membranes generally has been described using coupled flux formulations based on nonequilibrium (irreversible) thermodynamics. However, these formulations have differed depending on the assumptions inherent in the theoretical development, resulting in some confusion regarding the applicability of the formulations. Accordingly, a critical review of coupled flux formulations for liquid, current, and solutes through a semipermeable clay membrane under isothermal conditions is undertaken with the goals of explicitly resolving differences among the formulations and illustrating the significance of the differences from theoretical and practical perspectives. Formulations based on single-solute systems (i.e., uncharged solute), single-salt systems, and general systems containing multiple cations or anions are presented. Also, expressions relating the phenomenological coefficients in the coupled flux equations to relevant soil properties (e.g., hydraulic conductivity and effective diffusion coefficient) are summarized for each system. A major difference in the formulations is shown to exist depending on whether counter diffusion or salt diffusion is assumed. This difference between counter and salt diffusion is shown to affect the interpretation of values for the effective diffusion coefficient in a clay membrane based on previously published experimental data. Solute transport theories based on both counter and salt diffusion then are used to re-evaluate previously published column test data for the same clay membrane. The results indicate that, despite the theoretical inconsistency between the counter-diffusion assumption and the salt-diffusion conditions of the experiments, the predictive ability of solute transport theory based on the assumption of counter diffusion is not significantly different from that based on the assumption of salt diffusion, provided that the input parameters used in each theory are derived under the same assumption inherent in the theory. Nonetheless, salt-diffusion theory is fundamentally correct and, therefore, is more appropriate for problems involving salt diffusion in clay membranes. Finally, the fact that solute diffusion cannot occur in an ideal or perfect membrane is not explicitly captured in any of the theoretical expressions for total solute flux in clay membranes, but rather is generally accounted for via inclusion of an effective porosity, n(e), or a restrictive tortuosity factor, tau(r), in the formulation of Fick's first law for diffusion. Both n(e) and tau(r) have been correlated as a linear function of membrane efficiency. This linear correlation is supported theoretically by pore-scale modeling of solid-liquid interactions, but experimental support is limited. Additional data are needed to bolster the validity of the linear correlation for clay membranes. Copyright 2012 Elsevier B.V. All rights reserved.

Critical Review of Coupled Flux Formulations for Clay Membranes Based on Nonequilibrium Thermodynamics

Extensive research conducted over the past several decades has indicated that semipermeable membrane behavior (i.e., the ability of a porous medium to restrict the passage of solutes) may have a significant influence on solute migration through a wide variety of clay-rich soils, including both natural clay formations (aquitards, aquicludes) and engineered clay barriers (e.g., landfill liners and vertical cutoff walls). Restricted solute migration through clay membranes generally has been described using coupled flux formulations based on nonequilibrium (irreversible) thermodynamics. However, these formulations have differed depending on the assumptions inherent in the theoretical development, resulting in some confusion regarding the applicability of the formulations. Accordingly, a critical review of coupled flux formulations for liquid, current, and solutes through a semipermeable clay membrane under isothermal conditions is undertaken with the goals of explicitly resolving differences among the formulations and illustrating the significance of the differences from theoretical and practical perspectives. Formulations based on single-solute systems (i.e., uncharged solute), single-salt systems, and general systems containing multiple cations or anions are presented. Also, expressions relating the phenomenological coefficients in the coupled flux equations to relevant soil properties (e.g., hydraulic conductivity and effective diffusion coefficient) are summarized for each system. A major difference in the formulations is shown to exist depending on whether counter diffusion or salt diffusion is assumed. This difference between counter and salt diffusion is shown to affect the interpretation of values for the effective diffusion coefficient in a clay membrane based on previously published experimental data. Solute transport theories based on both counter and salt diffusion then are used to re-evaluate previously published column test data for the same clay membrane. The results indicate that, despite the theoretical inconsistency between the counter-diffusion assumption and the salt-diffusion conditions of the experiments, the predictive ability of solute transport theory based on the assumption of counter diffusion is not significantly different from that based on the assumption of salt diffusion, provided that the input parameters used in each theory are derived under the same assumption inherent in the theory. Nonetheless, salt-diffusion theory is fundamentally correct and, therefore, is more appropriate for problems involving salt diffusion in clay membranes. Finally, the fact that solute diffusion cannot occur in an ideal or perfect membrane is not explicitly captured in any of the theoretical expressions for total solute flux in clay membranes, but rather is generally accounted for via inclusion of an effective porosity, ne, or a restrictive tortuosity factor, tr, in the formulation of Fick's first law for diffusion. Both ne and tr have been correlated as a linear function of membrane efficiency. This linear correlation is supported theoretically by pore-scale modeling of solid-liquid interactions, but experimental support is limited. Additional data are needed to bolster the validity of the linear correlation for clay membranes.

Electromagnetic Instability Studies in Fusion Plasmas Edge

Este trabajo esta dedicado al estudio de las estructuras macroscópicas conocidas en la literatura como filamentos o blobs que han sido observadas de manera universal en el borde de todo tipo de dispositivos de fusión por confinamiento magnético. Estos filamentos, celdas convectivas elongadas a lo largo de las líneas de campo que surgen en el plasma fuertemente turbulento que existe en este tipo de dispositivos, parecen dominar el transporte radial de partículas y energía en la región conocida como Scrape-off Layer, en la que las líneas de campo dejan de estar cerradas y el plasma es dirigido hacia la pared sólida que forma la cámara de vacío. Aunque el comportamiento y las leyes de escala de estas estructuras son relativamente bien conocidos, no existe aún una teoría generalmente aceptada acerca del mecanismo físico responsable de su formación, que constituye una de las principales incógnitas de la teoría de transporte del borde en plasmas de fusión y una cuestión de gran importancia práctica en el desarrollo de la siguiente generación de reactores de fusión (incluyendo dispositivos como ITER y DEMO), puesto que la eficiencia del confinamiento y la cantidad de energía depositadas en la pared dependen directamente de las características del transporte en el borde. El trabajo ha sido realizado desde una perspectiva eminentemente experimental, incluyendo la observación y el análisis de este tipo de estructuras en el stellarator tipo heliotrón LHD (un dispositivo de gran tamaño, capaz de generar plasmas de características cercanas a las necesarias en un reactor de fusión) y en el stellarator tipo heliac TJ-II (un dispositivo de medio tamaño, capaz de generar plasmas relativamente más fríos pero con una accesibilidad y disponibilidad de diagnósticos mayor). En particular, en LHD se observó la generación de filamentos durante las descargas realizadas en configuración de alta _ (alta presión cinética frente a magnética) mediante una cámara visible ultrarrápida, se caracterizó su comportamiento y se investigó, mediante el análisis estadístico y la comparación con modelos teóricos, el posible papel de la Criticalidad Autoorganizada en la formación de este tipo de estructuras. En TJ-II se diseñó y construyó una cabeza de sonda capaz de medir simultáneamente las fluctuaciones electrostáticas y electromagnéticas del plasma. Gracias a este nuevo diagnóstico se pudieron realizar experimentos con el fin de determinar la presencia de corriente paralela a través de los filamentos (un parámetro de gran importancia en su modelización) y relacionar los dos tipos de fluctuaciones por primera vez en un stellarator. Así mismo, también por primera vez en este tipo de dispositivo, fue posible realizar mediciones simultáneas de los tensores viscoso y magnético (Reynolds y Maxwell) de transporte de cantidad de movimiento. ABSTRACT This work has been devoted to the study of the macroscopic structures known in the literature as filaments or blobs, which have been observed universally in the edge of all kind of magnetic confinement fusion devices. These filaments, convective cells stretching along the magnetic field lines, arise from the highly turbulent plasma present in this kind of machines and seem to dominate radial transport of particles and energy in the region known as Scrapeoff Layer, in which field lines become open and plasma is directed towards the solid wall of the vacuum vessel. Although the behavior and scale laws of these structures are relatively well known, there is no generally accepted theory about the physical mechanism involved in their formation yet, which remains one of the main unsolved questions in the fusion plasmas edge transport theory and a matter of great practical importance for the development of the next generation of fusion reactors (including ITER and DEMO), since efficiency of confinement and the energy deposition levels on the wall are directly dependent of the characteristics of edge transport. This work has been realized mainly from an experimental perspective, including the observation and analysis of this kind of structures in the heliotron stellarator LHD (a large device capable of generating reactor-relevant plasma conditions) and in the heliac stellarator TJ-II (a medium-sized device, capable of relatively colder plasmas, but with greater ease of access and diagnostics availability). In particular, in LHD, the generation of filaments during high _ discharges (with high kinetic to magnetic pressure ratio) was observed by means of an ultrafast visible camera, and the behavior of this structures was characterized. Finally, the potential role of Self-Organized Criticality in the generation of filaments was investigated. In TJ-II, a probe head capable of measuring simultaneously electrostatic and electromagnetic fluctuations in the plasma was designed and built. Thanks to this new diagnostic, experiments were carried out in order to determine the presence of parallel current through filaments (one of the most important parameters in their modelization) and to related electromagnetic (EM) and electrostatic (ES) fluctuations for the first time in an stellarator. As well, also for the first time in this kind of device, measurements of the viscous and magnetic momentum transfer tensors (Reynolds and Maxwell) were performed.

Geometry and Optimization of Relative Arbitrage

Thesis (Ph.D.)--University of Washington, 2016-06

Numerical modeling of gyroscopic effect in bidirectional ultrafast Erbium-doped fibre laser

We demonstrate the numerical model which allows investigation of gyroscopic effect in hybrid mode-locked bidirectional Erbium-doped fibre ring laser. The model is based on transport theory with accounting of dispersion, gain in EDFA and saturable absorption. The predictions of gyroscopic effect are also presented for the particular laser cavity.

First-principles calculation of P-type alloy scattering in Si1-xGex

The p-type carrier scattering rate due to alloy disorder in Si1-xGex alloys is obtained from first principles. The required alloy scattering matrix elements are calculated from the energy splitting of the valence bands, which arise when one average host atom is replaced by a Ge or Si atom in supercells containing up to 128 atoms. Alloy scattering within the valence bands is found to be characterized by a single scattering parameter. The hole mobility is calculated from the scattering rate using the Boltzmann transport equation in the relaxation time approximation. The results are in good agreement with experiments on bulk, unstrained alloys..

Efectos de la microestructura sobre la transmisión de neutrones en materiales de interés nuclear.

Cuando un haz policromático de neutrones pasa a través de un material, los neutrones de distintas longitudes de onda son atenuados en formas muy diferentes. Como resultado, el espectro de energía del haz de neutrones cambia cuando una muestra es colocada frente el haz. Un análisis detallado del cociente de intensidad entre los haces de transmitido e incidente puede proporcionar una gran cantidad de información acerca de la estructura cristalina y microestructura de la muestra, definidas a través de la sección eficaz total del material. Para neutrones térmicos y sub-térmicos, el ordenamiento y movimiento de los átomos a escala microscópica define en forma precisa la dependencia de esta magnitud con la energía del neutrón incidente. Así, la variación con la energía de la sección eficaz total de los sólidos debido a la estructura de los átomos para distancias entre 0,1 y 100 Å se encuentra bien establecida, y es explotada en el estudio de estructuras cristalinas y de los movimientos vibracionales y rotacionales. Como contrapartida, el efecto de la estructura mesoscópica de los materiales, esto es para dimensiones entre 0,1 y 100 µm, sobre la sección eficaz total ha sido mucho menos estudiado, a pesar de provocar cambios profundos en esta magnitud. En esta Tesis estudiamos y formalizamos la dependencia de la sección eficaz total con características microestructurales tales como la porosidad, y la distribución de tamaños y orientaciones de los granos que componen los materiales, y desarrollamos modelos teóricos a partir de las características microestructurales de muestras de interés nuclear con diferente microestructura. Estos modelos permiten describir la contribuci ón de la componente elástica coherente de la seción eficaz total sobre los espectros de transmisión de neutrones e introducen parámetros como la cantidad de cristales que conforman el material, su estructura cristalina, parámetros de red, mosaicidad, estructura de poros u orientación preferencial de granos, para describir la sección total de materiales monocristalinos o policristalinos. En todos los casos, los modelos desarrollados fueron implementados en una biblioteca basada en el lenguaje computacional MATLAB y fueron comparados con secciones eficaces totales obtenidas en experimentos de transmisión de neutrones realizados en el Departamento de Física de Neutrones del Centro Atómico Bariloche y en ISIS Facility, Reino Unido. Los novedosos modelos microestructurales propuestos describen fielmente los experimentos desarrollados sobre muestras con distinta microestructura, lo que permite el empleo de los mismos en un código de refinamiento sobre los datos experimentales. Aquí, desarrollamos herramientas computacionales que ajustan por cuadrados mínimos no lineales los modelos paramétricos representativos de cada microestructura, sobre la sección eficaz total o la transmisión experimental, para determinar parámetros microestructurales de la muestra a partir de experimentos de transmisión de neutrones con resolución en longitud de onda. Los resultados son de particular relevancia para la interpretación y el análisis cuantitativo de las imágenes realizadas por la técnica de radiografía neutrónica con resolución en energía, que ha recibido un gran impulso en años recientes.

Efectos de la microestructura sobre la transmisión de neutrones en materiales de interés nuclear.

Cuando un haz policromático de neutrones pasa a través de un material, los neutrones de distintas longitudes de onda son atenuados en formas muy diferentes. Como resultado, el espectro de energía del haz de neutrones cambia cuando una muestra es colocada frente el haz. Un análisis detallado del cociente de intensidad entre los haces de transmitido e incidente puede proporcionar una gran cantidad de información acerca de la estructura cristalina y microestructura de la muestra, definidas a través de la sección eficaz total del material. Para neutrones térmicos y sub-térmicos, el ordenamiento y movimiento de los átomos a escala microscópica define en forma precisa la dependencia de esta magnitud con la energía del neutrón incidente. Así, la variación con la energía de la sección eficaz total de los sólidos debido a la estructura de los átomos para distancias entre 0,1 y 100 Å se encuentra bien establecida, y es explotada en el estudio de estructuras cristalinas y de los movimientos vibracionales y rotacionales. Como contrapartida, el efecto de la estructura mesoscópica de los materiales, esto es para dimensiones entre 0,1 y 100 µm, sobre la sección eficaz total ha sido mucho menos estudiado, a pesar de provocar cambios profundos en esta magnitud. En esta Tesis estudiamos y formalizamos la dependencia de la sección eficaz total con características microestructurales tales como la porosidad, y la distribución de tamaños y orientaciones de los granos que componen los materiales, y desarrollamos modelos teóricos a partir de las características microestructurales de muestras de interés nuclear con diferente microestructura. Estos modelos permiten describir la contribuci ón de la componente elástica coherente de la seción eficaz total sobre los espectros de transmisión de neutrones e introducen parámetros como la cantidad de cristales que conforman el material, su estructura cristalina, parámetros de red, mosaicidad, estructura de poros u orientación preferencial de granos, para describir la sección total de materiales monocristalinos o policristalinos. En todos los casos, los modelos desarrollados fueron implementados en una biblioteca basada en el lenguaje computacional MATLAB y fueron comparados con secciones eficaces totales obtenidas en experimentos de transmisión de neutrones realizados en el Departamento de Física de Neutrones del Centro Atómico Bariloche y en ISIS Facility, Reino Unido. Los novedosos modelos microestructurales propuestos describen fielmente los experimentos desarrollados sobre muestras con distinta microestructura, lo que permite el empleo de los mismos en un código de refinamiento sobre los datos experimentales. Aquí, desarrollamos herramientas computacionales que ajustan por cuadrados mínimos no lineales los modelos paramétricos representativos de cada microestructura, sobre la sección eficaz total o la transmisión experimental, para determinar parámetros microestructurales de la muestra a partir de experimentos de transmisión de neutrones con resolución en longitud de onda. Los resultados son de particular relevancia para la interpretación y el análisis cuantitativo de las imágenes realizadas por la técnica de radiografía neutrónica con resolución en energía, que ha recibido un gran impulso en años recientes.

Modelagem de um sistema de planejamento em radioterapia e medicina nuclear com o uso do código MCNP6

Tese (Doutorado em Tecnologia Nuclear)

Quantum master equation scheme of time-dependent density functional theory to time-dependent transport in nanoelectronic devices

In this work a practical scheme is developed for the first-principles study of time-dependent quantum transport. The basic idea is to combine the transport master equation with the well-known time-dependent density functional theory. The key ingredients of this paper include (i) the partitioning-free initial condition and the consideration of the time-dependent bias voltages which base our treatment on the Runge-Gross existence theorem; (ii) the non-Markovian master equation for the reduced (many-body) central system (i.e., the device); and (iii) the construction of Kohn-Sham master equations for the reduced single-particle density matrix, where a number of auxiliary functions are introduced and their equations of motion (EOMs) are established based on the technique of spectral decomposition. As a result, starting with a well-defined initial state, the time-dependent transport current can be calculated simultaneously along with the propagation of the Kohn-Sham master equation and the EOMs of the auxiliary functions.

Quantum waveguide theory for hole transport in mesoscopic structures

A quantum waveguide theory is proposed for hole transport in the mesoscopic structures, including the band mixing effect. We found that due to the interference between the 'light' hole and 'heavy' wave, the transmission and reflection coefficients oscillate more irregularly as a function of incident wave vector geometry parameters. Furthermore conversion between the heavy hole and light hole states occurs at the intersection. (C) 2003 Elsevier Ltd. All rights reserved.

A New Theory for Perpendicular Transport of Cosmic Rays

We present an improved nonlinear theory for the perpendicular transport of charged particles. This approach is based on an improved nonlinear treatment of field-line random walk in combination with a generalized compound diffusion model. The generalized compound diffusion model employed is more systematic and reliable, in comparison with previous theories. Furthermore, the theory shows remarkably good agreement with test-particle simulations and solar wind observations.