MMonCa: A flexible and powerful new Kinetic Monte Carlo simulator

Kinetic Monte Carlo (KMC) is a widely used technique to simulate the evolution of radiation damage inside solids. Despite de fact that this technique was developed several decades ago, there is not an established and easy to access simulating tool for researchers interested in this field, unlike in the case of molecular dynamics or density functional theory calculations. In fact, scientists must develop their own tools or use unmaintained ones in order to perform these types of simulations. To fulfil this need, we have developed MMonCa, the Modular Monte Carlo simulator. MMonCa has been developed using professional C++ programming techniques and has been built on top of an interpreted language to allow having a powerful yet flexible, robust but customizable and easy to access modern simulator. Both non lattice and Lattice KMC modules have been developed. We will present in this conference, for the first time, the MMonCa simulator. Along with other (more detailed) contributions in this meeting, the versatility of MMonCa to study a number of problems in different materials (particularly, Fe and W) subject to a wide range of conditions will be shown. Regarding KMC simulations, we have studied neutron-generated cascade evolution in Fe (as a model material). Starting with a Frenkel pair distribution we have followed the defect evolution up to 450 K. Comparison with previous simulations and experiments shows excellent agreement. Furthermore, we have studied a more complex system (He-irradiated W:C) using a previous parametrization [1]. He-irradiation at 4 K followed by isochronal annealing steps up to 500 K has been simulated with MMonCa. The He energy was 400 eV or 3 keV. In the first case, no damage is associated to the He implantation, whereas in the second one, a significant Frenkel pair concentration (evolving into complex clusters) is associated to the He ions. We have been able to explain He desorption both in the absence and in the presence of Frenkel pairs and we have also applied MMonCa to high He doses and fluxes at elevated temperatures. He migration and trapping dominate the kinetics of He desorption. These processes will be discussed and compared to experimental results. [1] C.S. Becquart et al. J. Nucl. Mater. 403 (2010) 75

A new PET prototype for proton therapy: comparison of data and Monte Carlo simulations

Ion beam therapy is a valuable method for the treatment of deep-seated and radio-resistant tumors thanks to the favorable depth-dose distribution characterized by the Bragg peak. Hadrontherapy facilities take advantage of the specific ion range, resulting in a highly conformal dose in the target volume, while the dose in critical organs is reduced as compared to photon therapy. The necessity to monitor the delivery precision, i.e. the ion range, is unquestionable, thus different approaches have been investigated, such as the detection of prompt photons or annihilation photons of positron emitter nuclei created during the therapeutic treatment. Based on the measurement of the induced β+ activity, our group has developed various in-beam PET prototypes: the one under test is composed by two planar detector heads, each one consisting of four modules with a total active area of 10 × 10 cm2. A single detector module is made of a LYSO crystal matrix coupled to a position sensitive photomultiplier and is read-out by dedicated frontend electronics. A preliminary data taking was performed at the Italian National Centre for Oncological Hadron Therapy (CNAO, Pavia), using proton beams in the energy range of 93–112 MeV impinging on a plastic phantom. The measured activity profiles are presented and compared with the simulated ones based on the Monte Carlo FLUKA package.

On-road visual vehicle tracking using Markov chain Monte Carlo with metropolis sampling

In this study, a method for vehicle tracking through video analysis based on Markov chain Monte Carlo (MCMC) particle filtering with metropolis sampling is proposed. The method handles multiple targets with low computational requirements and is, therefore, ideally suited for advanced-driver assistance systems that involve real-time operation. The method exploits the removed perspective domain given by inverse perspective mapping (IPM) to define a fast and efficient likelihood model. Additionally, the method encompasses an interaction model using Markov Random Fields (MRF) that allows treatment of dependencies between the motions of targets. The proposed method is tested in highway sequences and compared to state-of-the-art methods for vehicle tracking, i.e., independent target tracking with Kalman filtering (KF) and joint tracking with particle filtering. The results showed fewer tracking failures using the proposed method.

Efficient Monte Carlo optimization for multi-label classifier chains

Multi-label classification (MLC) is the supervised learning problem where an instance may be associated with multiple labels. Modeling dependencies between labels allows MLC methods to improve their performance at the expense of an increased computational cost. In this paper we focus on the classifier chains (CC) approach for modeling dependencies. On the one hand, the original CC algorithm makes a greedy approximation, and is fast but tends to propagate errors down the chain. On the other hand, a recent Bayes-optimal method improves the performance, but is computationally intractable in practice. Here we present a novel double-Monte Carlo scheme (M2CC), both for finding a good chain sequence and performing efficient inference. The M2CC algorithm remains tractable for high-dimensional data sets and obtains the best overall accuracy, as shown on several real data sets with input dimension as high as 1449 and up to 103 labels.

Monte Carlo simulations of densely-packed athermal polymers in the bulk and under confinement

We review the main results from extensive Monte Carlo (MC) simulations on athermal polymer packings in the bulk and under confinement. By employing the simplest possible model of excluded volume, macromolecules are represented as freely-jointed chains of hard spheres of uniform size. Simulations are carried out in a wide concentration range: from very dilute up to very high volume fractions, reaching the maximally random jammed (MRJ) state. We study how factors like chain length, volume fraction and flexibility of bond lengths affect the structure, shape and size of polymers, their packing efficiency and their phase behaviour (disorder–order transition). In addition, we observe how these properties are affected by confinement realized by flat, impenetrable walls in one dimension. Finally, by mapping the parent polymer chains to primitive paths through direct geometrical algorithms, we analyse the characteristics of the entanglement network as a function of packing density.

Object Kinetic Monte Carlo calculations of irradiated Fe-Cr dilute alloys: The effect of the interaction radius between substitutional Cr and self-interstitial Fe

ObjectKineticMonteCarlo models allow for the study of the evolution of the damage created by irradiation to time scales that are comparable to those achieved experimentally. Therefore, the essential ObjectKineticMonteCarlo parameters can be validated through comparison with experiments. However, this validation is not trivial since a large number of parameters is necessary, including migration energies of point defects and their clusters, binding energies of point defects in clusters, as well as the interactionradii. This is particularly cumbersome when describing an alloy, such as the Fe–Cr system, which is of interest for fusion energy applications. In this work we describe an ObjectKineticMonteCarlo model for Fe–Cr alloys in the dilute limit. The parameters used in the model come either from density functional theory calculations or from empirical interatomic potentials. This model is used to reproduce isochronal resistivity recovery experiments of electron irradiateddiluteFe–Cr alloys performed by Abe and Kuramoto. The comparison between the calculated results and the experiments reveal that an important parameter is the capture radius between substitutionalCr and self-interstitialFe atoms. A parametric study is presented on the effect of the capture radius on the simulated recovery curves.

Inclusión en modelos de riesgo de presas de una metodología de estimación hidrológica basada en técnicas de Monte Carlo

En este estudio se aplica una metodología de obtención de las leyes de frecuencia derivadas (de caudales máximo vertidos y niveles máximos alcanzados) en un entorno de simulaciones de Monte Carlo, para su inclusión en un modelo de análisis de riesgo de presas. Se compara su comportamiento respecto del uso de leyes de frecuencia obtenidas con las técnicas tradicionalmente utilizadas.

A comparative study of Monte Carlo-coupled depletion codes applied to a Sodium Fast Reactor design loaded with minor actinides

inor actinides (MAs) transmutation is a main design objective of advanced nuclear systems such as generation IV Sodium Fast Reactors (SFRs). In advanced fuel cycles, MA contents in final high level waste packages are main contributors to short term heat production as well as to long-term radiotoxicity. Therefore, MA transmutation would have an impact on repository designs and would reduce the environment burden of nuclear energy. In order to predict such consequences Monte Carlo (MC) transport codes are used in reactor design tasks and they are important complements and references for routinely used deterministic computational tools. In this paper two promising Monte Carlo transport-coupled depletion codes, EVOLCODE and SERPENT, are used to examine the impact of MA burning strategies in a SFR core, 3600 MWth. The core concept proposal for MA loading in two configurations is the result of an optimization effort upon a preliminary reference design to reduce the reactivity insertion as a consequence of sodium voiding, one of the main concerns of this technology. The objective of this paper is double. Firstly, efficiencies of the two core configurations for MA transmutation are addressed and evaluated in terms of actinides mass changes and reactivity coefficients. Results are compared with those without MA loading. Secondly, a comparison of the two codes is provided. The discrepancies in the results are quantified and discussed.

Análisis y diseño de un patrón de ruido térmico de 10 MHz a 26,5 GHz en tecnología coaxial

Esta Tesis Doctoral presenta las investigaciones y los trabajos desarrollados durante los años 2008 a 2012 para el análisis y diseño de un patrón primario de ruido térmico de banda ancha en tecnología coaxial. Para ubicar esta Tesis en su campo científico es necesario tomar conciencia de que la realización de mediciones fiables y trazables forma parte del sostenimiento del bienestar de una sociedad moderna y juega un papel crítico en apoyo de la competitividad económica, la fabricación y el comercio, así como de la calidad de vida. En el mundo moderno actual, una infraestructura de medición bien desarrollada genera confianza en muchas facetas de nuestra vida diaria, porque nos permite el desarrollo y fabricación de productos fiables, innovadores y de alta calidad; porque sustenta la competitividad de las industrias y su producción sostenible; además de contribuir a la eliminación de barreras técnicas y de dar soporte a un comercio justo, garantizar la seguridad y eficacia de la asistencia sanitaria, y por supuesto, dar respuesta a los grandes retos de la sociedad moderna en temas tan complicados como la energía y el medio ambiente. Con todo esto en mente se ha desarrollado un patrón primario de ruido térmico con el fin de aportar al sistema metrológico español un nuevo patrón primario de referencia capaz de ser usado para desarrollar mediciones fiables y trazables en el campo de la medida y calibración de dispositivos de ruido electromagnético de radiofrecuencia y microondas. Este patrón se ha planteado para que cumpla en el rango de 10 MHz a 26,5 GHz con las siguientes especificaciones: Salida nominal de temperatura de ruido aproximada de ~ 83 K. Incertidumbre de temperatura de ruido menor que ± 1 K en todo su rango de frecuencias. Coeficiente de reflexión en todo su ancho de banda de 0,01 a 26,5 GHz lo más bajo posible. Se ha divido esta Tesis Doctoral en tres partes claramente diferenciadas. La primera de ellas, que comprende los capítulos 1, 2, 3, 4 y 5, presenta todo el proceso de simulaciones y ajustes de los parámetros principales del dispositivo con el fin de dejar definidos los que resultan críticos en su construcción. A continuación viene una segunda parte compuesta por el capítulo 6 en donde se desarrollan los cálculos necesarios para obtener la temperatura de ruido a la salida del dispositivo. La tercera y última parte, capítulo 7, se dedica a la estimación de la incertidumbre de la temperatura de ruido del nuevo patrón primario de ruido obtenida en el capítulo anterior. Más concretamente tenemos que en el capítulo 1 se hace una exhaustiva introducción del entorno científico en donde se desarrolla este trabajo de investigación. Además se detallan los objetivos que se persiguen y se presenta la metodología utilizada para conseguirlos. El capítulo 2 describe la caracterización y selección del material dieléctrico para el anillo del interior de la línea de transmisión del patrón que ponga en contacto térmico los dos conductores del coaxial para igualar las temperaturas entre ambos y mantener la impedancia característica de todo el patrón primario de ruido. Además se estudian las propiedades dieléctricas del nitrógeno líquido para evaluar su influencia en la impedancia final de la línea de transmisión. En el capítulo 3 se analiza el comportamiento de dos cargas y una línea de aire comerciales trabajando en condiciones criogénicas. Se pretende con este estudio obtener la variación que se produce en el coeficiente de reflexión al pasar de temperatura ambiente a criogénica y comprobar si estos dispositivos resultan dañados por trabajar a temperaturas criogénicas; además se estudia si se modifica su comportamiento tras sucesivos ciclos de enfriamiento – calentamiento, obteniendo una cota de la variación para poder así seleccionar la carga que proporcione un menor coeficiente de reflexión y una menor variabilidad. En el capítulo 4 se parte del análisis de la estructura del anillo de material dieléctrico utilizada en la nota técnica NBS 1074 del NIST con el fin de obtener sus parámetros de dispersión que nos servirán para calcular el efecto que produce sobre el coeficiente de reflexión de la estructura coaxial completa. Además se realiza un estudio posterior con el fin de mejorar el diseño de la nota técnica NBS 1074 del NIST, donde se analiza el anillo de material dieléctrico, para posteriormente realizar modificaciones en la geometría de la zona donde se encuentra éste con el fin de reducir la reflexión que produce. Concretamente se estudia el ajuste del radio del conductor interior en la zona del anillo para que presente la misma impedancia característica que la línea. Y para finalizar se obtiene analíticamente la relación entre el radio del conductor interior y el radio de la transición de anillo térmico para garantizar en todo punto de esa transición la misma impedancia característica, manteniendo además criterios de robustez del dispositivo y de fabricación realistas. En el capítulo 5 se analiza el comportamiento térmico del patrón de ruido y su influencia en la conductividad de los materiales metálicos. Se plantean las posibilidades de que el nitrógeno líquido sea exterior a la línea o que éste penetre en su interior. En ambos casos, dada la simetría rotacional del problema, se ha simulado térmicamente una sección de la línea coaxial, es decir, se ha resuelto un problema bidimensional, aunque los resultados son aplicables a la estructura real tridimensional. Para la simulación térmica se ha empleado la herramienta PDE Toolbox de Matlab®. En el capítulo 6 se calcula la temperatura de ruido a la salida del dispositivo. Se parte del estudio de la aportación a la temperatura de ruido final de cada sección que compone el patrón. Además se estudia la influencia de las variaciones de determinados parámetros de los elementos que conforman el patrón de ruido sobre las características fundamentales de éste, esto es, el coeficiente de reflexión a lo largo de todo el dispositivo. Una vez descrito el patrón de ruido electromagnético se procede, en el capítulo 7, a describir los pasos seguidos para estimar la incertidumbre de la temperatura de ruido electromagnético a su salida. Para ello se utilizan dos métodos, el clásico de la guía para la estimación de la incertidumbre [GUM95] y el método de simulación de Monte Carlo. En el capítulo 8 se describen las conclusiones y lo logros conseguidos. Durante el desarrollo de esta Tesis Doctoral se ha obtenido un dispositivo novedoso susceptible de ser patentado, que ha sido registrado en la Oficina Española de Patentes y Marcas (O.E.P.M.) en Madrid, de conformidad con lo establecido en el artículo 20 de la Ley 11/1986, de 20 de Marzo, de Patentes, con el título Patrón Primario de Ruido Térmico de Banda Ancha (Referencia P-101061) con fecha 7 de febrero de 2011. ABSTRACT This Ph. D. work describes a number of investigations that were performed along the years 2008 to 2011, as a preparation for the study and design of a coaxial cryogenic reference noise standard. Reliable and traceable measurement underpins the welfare of a modern society and plays a critical role in supporting economic competitiveness, manufacturing and trade as well as quality of life. In our modern world, a well developed measurement infrastructure gives confidence in many aspects of our daily life, for example by enabling the development and manufacturing of reliable, high quality and innovative products; by supporting industry to be competitive and sustainable in its production; by removing technical barriers to trade and supporting fair trade; by ensuring safety and effectiveness of healthcare; by giving response to the major challenges in key sectors such energy and environment, etc. With all this in mind we have developed a primary standard thermal noise with the aim of providing the Spanish metrology system with a new primary standard for noise reference. This standard will allow development of reliable and traceable measurements in the field of calibration and measurement of electromagnetic noise RF and microwave devices. This standard has been designed to work in the frequency range from 10 MHz to 26.5 GHz, meeting the following specifications: 1. Noise temperature output is to be nominally ~ 83 K. 2. Noise temperature uncertainty less than ± 1 K in the frequency range from 0.01 to 26.5 GHz. 3. Broadband performance requires as low a reflection coefficient as possible from 0.01 to 26.5 GHz. The present Ph. D. work is divided into three clearly differentiated parts. The first one, which comprises Chapters 1 to 5, presents the whole process of simulation and adjustment of the main parameters of the device in order to define those of them which are critical for the manufacturing of the device. Next, the second part consists of Chapter 6 where the necessary computations to obtain the output noise temperature of the device are carried out. The third and last part, Chapter 7, is devoted to the estimation of the uncertainty related to the noise temperature of the noise primary standard as obtained in the preceding chapter. More specifically, Chapter 1 provides a thorough introduction to the scientific and technological environment where this research takes place. It also details the objectives to be achieved and presents the methodology used to achieve them. Chapter 2 describes the characterization and selection of the bead dielectric material inside the transmission line, intended to connect the two coaxial conductors equalizing the temperature between the two of them and thus keeping the characteristic impedance constant for the whole standard. In addition the dielectric properties of liquid nitrogen are analyzed in order to assess their influence on the impedance of the transmission line. Chapter 3 analyzes the behavior of two different loads and of a commercial airline when subjected to cryogenic working conditions. This study is intended to obtain the variation in the reflection coefficient when the temperature changes from room to cryogenic temperature, and to check whether these devices can be damaged as a result of working at cryogenic temperatures. Also we try to see whether the load changes its behavior after successive cycles of cooling / heating, in order to obtain a bound for the allowed variation of the reflection coefficient of the load. Chapter 4 analyzes the ring structure of the dielectric material used in the NBS technical note 1074 of NIST, in order to obtain its scattering parameters that will be used for computation of its effect upon the reflection coefficient of the whole coaxial structure. Subsequently, we perform a further investigation with the aim of improving the design of NBS technical note 1074 of NIST, and modifications are introduced in the geometry of the transition area in order to reduce the reflection it produces. We first analyze the ring, specifically the influence of the radius of inner conductor of the bead, and then make changes in its geometry so that it presents the same characteristic impedance as that of the line. Finally we analytically obtain the relationship between the inner conductor radius and the radius of the transition from ring, in order to ensure the heat flow through the transition thus keeping the same reflection coefficient, and at the same time meeting the robustness requirements and the feasibility of manufacturing. Chapter 5 analyzes the thermal behavior of the noise standard and its influence on the conductivity of metallic materials. Both possibilities are raised that the liquid nitrogen is kept outside the line or that it penetrates inside. In both cases, given the rotational symmetry of the structure, we have simulated a section of coaxial line, i.e. the equivalent two-dimensional problem has been resolved, although the results are applicable to the actual three-dimensional structure. For thermal simulation Matlab™ PDE Toolbox has been used. In Chapter 6 we compute the output noise temperature of the device. The starting point is the analysis of the contribution to the overall noise temperature of each section making up the standard. Moreover the influence of the variations in the parameters of all elements of the standard is analyzed, specifically the variation of the reflection coefficient along the entire device. Once the electromagnetic noise standard has been described and analyzed, in Chapter 7 we describe the steps followed to estimate the uncertainty of the output electromagnetic noise temperature. This is done using two methods, the classic analytical approach following the Guide to the Estimation of Uncertainty [GUM95] and numerical simulations made with the Monte Carlo method. Chapter 8 discusses the conclusions and achievements. During the development of this thesis, a novel device was obtained which was potentially patentable, and which was finally registered through the Spanish Patent and Trademark Office (SPTO) in Madrid, in accordance with the provisions of Article 20 of Law 11/1986 about Patents, dated March 20th, 1986. It was registered under the denomination Broadband Thermal Noise Primary Standard (Reference P-101061) dated February 7th, 2011.

Monte Carlo uncertainty propagation approaches in ADS burn-up calculations

In activation calculations, there are several approaches to quantify uncertainties: deterministic by means of sensitivity analysis, and stochastic by means of Monte Carlo. Here, two different Monte Carlo approaches for nuclear data uncertainty are presented: the first one is the Total Monte Carlo (TMC). The second one is by means of a Monte Carlo sampling of the covariance information included in the nuclear data libraries to propagate these uncertainties throughout the activation calculations. This last approach is what we named Covariance Uncertainty Propagation, CUP. This work presents both approaches and their differences. Also, they are compared by means of an activation calculation, where the cross-section uncertainties of 239Pu and 241Pu are propagated in an ADS activation calculation.

MMonCa: An Object Kinetic Monte Carlo simulator for damage irradiation evolution and defect diffusion

In this work, we introduce the Object Kinetic Monte Carlo (OKMC) simulator MMonCa and simulate the defect evolution in three different materials. We start by explaining the theory of OKMC and showing some details of how such theory is implemented by creating generic structures and algorithms in the objects that we want to simulate. Then we successfully reproduce simulated results for defect evolution in iron, silicon and tungsten using our simulator and compare with available experimental data and similar simulations. The comparisons validate MMonCa showing that it is powerful and flexible enough to be customized and used to study the damage evolution of defects in a wide range of solid materials.

Montecarlo method applied to comparison of tenders in construction projects.

La comparación de las diferentes ofertas presentadas en la licitación de un proyecto,con el sistema de contratación tradicional de medición abierta y precio unitario cerrado, requiere herramientas de análisis que sean capaces de discriminar propuestas que teniendo un importe global parecido pueden presentar un impacto económico muy diferente durante la ejecución. Una de las situaciones que no se detecta fácilmente con los métodos tradicionales es el comportamiento del coste real frente a las variaciones de las cantidades realmente ejecutadas en obra respecto de las estimadas en el proyecto. Este texto propone abordar esta situación mediante un sistema de análisis cuantitativo del riesgo como el método de Montecarlo. Este procedimiento, como es sabido, consiste en permitir que los datos de entrada que definen el problema varíen unas funciones de probabilidad definidas, generar un gran número de casos de prueba y tratar los resultados estadísticamente para obtener los valores finales más probables,con los parámetros necesarios para medir la fiabilidad de la estimación. Se presenta un modelo para la comparación de ofertas, desarrollado de manera que puede aplicarse en casos reales aplicando a los datos conocidos unas condiciones de variación que sean fáciles de establecer por los profesionales que realizan estas tareas. ABSTRACT: The comparison of the different bids in the tender for a project, with the traditional contract system based on unit rates open to and re-measurement, requires analysis tools that are able to discriminate proposals having a similar overall economic impact, but that might show a very different behaviour during the execution of the works. One situation not easily detected by traditional methods is the reaction of the actual cost to the changes in the exact quantity of works finally executed respect of the work estimated in the project. This paper intends to address this situation through the Monte Carlo method, a system of quantitative risk analysis. This procedure, as is known, is allows the input data defining the problem to vary some within well defined probability functions, generating a large number of test cases, the results being statistically treated to obtain the most probable final values, with the rest of the parameters needed to measure the reliability of the estimate. We present a model for the comparison of bids, designed in a way that it can be applied in real cases, based on data and assumptions that are easy to understand and set up by professionals who wish to perform these tasks.

Review and comparison of effective delayed neutron fraction calculation methods with Monte Carlo codes

The calculation of the effective delayed neutron fraction, beff , with Monte Carlo codes is a complex task due to the requirement of properly considering the adjoint weighting of delayed neutrons. Nevertheless, several techniques have been proposed to circumvent this difficulty and obtain accurate Monte Carlo results for beff without the need of explicitly determining the adjoint flux. In this paper, we make a review of some of these techniques; namely we have analyzed two variants of what we call the k-eigenvalue technique and other techniques based on different interpretations of the physical meaning of the adjoint weighting. To test the validity of all these techniques we have implemented them with the MCNPX code and we have benchmarked them against a range of critical and subcritical systems for which either experimental or deterministic values of beff are available. Furthermore, several nuclear data libraries have been used in order to assess the impact of the uncertainty in nuclear data in the calculated value of beff .

Hybrid Monte Carlo dose algorithm for low energy X-rays intraoperative radiation therapy

Low energy X-rays Intra-Operative Radiation Therapy (XIORT) treatment delivered during surgery (ex: INTRABEAM, Carl Zeiss, and Axxent, Xoft) can benefit from accurate and fast dose prediction in a patient 3D volume.

Efficient Monte Carlo methods for multi-dimensional learning with classifier chains

Multi-dimensional classification (MDC) is the supervised learning problem where an instance is associated with multiple classes, rather than with a single class, as in traditional classification problems. Since these classes are often strongly correlated, modeling the dependencies between them allows MDC methods to improve their performance – at the expense of an increased computational cost. In this paper we focus on the classifier chains (CC) approach for modeling dependencies, one of the most popular and highest-performing methods for multi-label classification (MLC), a particular case of MDC which involves only binary classes (i.e., labels). The original CC algorithm makes a greedy approximation, and is fast but tends to propagate errors along the chain. Here we present novel Monte Carlo schemes, both for finding a good chain sequence and performing efficient inference. Our algorithms remain tractable for high-dimensional data sets and obtain the best predictive performance across several real data sets.