First passages in bounded domains: When is the mean first passage time meaningful?

We study the first passage statistics to adsorbing boundaries of a Brownian motion in bounded two-dimensional domains of different shapes and configurations of the adsorbing and reflecting boundaries. From extensive numerical analysis we obtain the probability P(ω) distribution of the random variable ω=τ1/(τ1+τ2), which is a measure for how similar the first passage times τ1 and τ2 are of two independent realizations of a Brownian walk starting at the same location. We construct a chart for each domain, determining whether P(ω) represents a unimodal, bell-shaped form, or a bimodal, M-shaped behavior. While in the former case the mean first passage time (MFPT) is a valid characteristic of the first passage behavior, in the latter case it is an insufficient measure for the process. Strikingly we find a distinct turnover between the two modes of P(ω), characteristic for the domain shape and the respective location of absorbing and reflective boundaries. Our results demonstrate that large fluctuations of the first passage times may occur frequently in two-dimensional domains, rendering quite vague the general use of the MFPT as a robust measure of the actual behavior even in bounded domains, in which all moments of the first passage distribution exist.

Facing the climate change challenges in the mining and mineral industry as providers of a sustainable manufacturing process

A sustainable manufacturing process must rely on an also sustainable raw materials and energy supply. This paper is intended to show the results of the studies developed on sustainable business models for the minerals industry as a fundamental previous part of a sustainable manufacturing process. As it has happened in other economic activities, the mining and minerals industry has come under tremendous pressure to improve its social, developmental, and environmental performance. Mining, refining, and the use and disposal of minerals have in some instances led to significant local environmental and social damage. Nowadays, like in other parts of the corporate world, companies are more routinely expected to perform to ever higher standards of behavior, going well beyond achieving the best rate of return for shareholders. They are also increasingly being asked to be more transparent and subject to third-party audit or review, especially in environmental aspects. In terms of environment, there are three inter-related areas where innovation and new business models can make the biggest difference: carbon, water and biodiversity. The focus in these three areas is for two reasons. First, the industrial and energetic minerals industry has significant footprints in each of these areas. Second, these three areas are where the potential environmental impacts go beyond local stakeholders and communities, and can even have global impacts, like in the case of carbon. So prioritizing efforts in these areas will ultimately be a strategic differentiator as the industry businesses continues to grow. Over the next forty years, world?s population is predicted to rise from 6.300 million to 9.500 million people. This will mean a huge demand of natural resources. Indeed, consumption rates are such that current demand for raw materials will probably soon exceed the planet?s capacity. As awareness of the actual situation grows, the public is demanding goods and services that are even more environmentally sustainable. This means that massive efforts are required to reduce the amount of materials we use, including freshwater, minerals and oil, biodiversity, and marine resources. It?s clear that business as usual is no longer possible. Today, companies face not only the economic fallout of the financial crisis; they face the substantial challenge of transitioning to a low-carbon economy that is constrained by dwindling natural resources easily accessible. Innovative business models offer pioneering companies an early start toward the future. They can signal to consumers how to make sustainable choices and provide reward for both the consumer and the shareholder. Climate change and carbon remain major risk discontinuities that we need to better understand and deal with. In the absence of a global carbon solution, the principal objective of any individual country should be to reduce its global carbon emissions by encouraging conservation. The mineral industry internal response is to continue to focus on reducing the energy intensity of our existing operations through energy efficiency and the progressive introduction of new technology. Planning of the new projects must ensure that their energy footprint is minimal from the start. These actions will increase the long term resilience of the business to uncertain energy and carbon markets. This focus, combined with a strong demand for skills in this strategic area for the future requires an appropriate change in initial and continuing training of engineers and technicians and their awareness of the issue of eco-design. It will also need the development of measurement tools for consistent comparisons between companies and the assessments integration of the carbon footprint of mining equipments and services in a comprehensive impact study on the sustainable development of the Economy.

Aplicación web de gestión financiera personal desarrollada con MEAN.JS

En este trabajo de fin de grado se llevará a cabo la elaboración de una aplicación web de gestión de gastos personales desde sus inicios, hasta su completo funcionamiento. Estas aplicaciones poseen un crecimiento emergente en el mercado, lo cual implica que la competencia entre ellas es muy elevada. Por ello el diseño de la aplicación que se va a desarrollar en este trabajo ha sido delicadamente cuidado. Se trata de un proceso minucioso el cual aportará a cada una de las partes de las que va a constar la aplicación características únicas que se plasmaran en funcionalidades para el usuario, como son: añadir sus propios gastos e ingresos mensuales, confeccionar gráficos de sus principales gastos, obtención de consejos de una fuente externa, etc… Estas funcionalidades de carácter único junto con otras más generalistas, como son el diseño gráfico en una amplia gama de colores, harán su manejo más fácil e intuitivo. Hay que destacar que para optimizar su uso, la aplicación tendrá la característica de ser responsive, es decir, será capaz de modificar su interfaz según el tamaño de la pantalla del dispositivo desde el que se acceda. Para su desarrollo, se va a utilizar una de las tecnologías más novedosas del mercado y siendo una de las más revolucionarias del momento, MEAN.JS. Con esta innovadora tecnología se creará la aplicación de gestión económica de gastos personales. Gracias al carácter innovador de aplicar esta tecnología novedosa, los retos que plantea este proyecto son muy variados, desde cómo estructurar las carpetas del proyecto y toda la parte de backend hasta como realizar el diseño de la parte de frontend. Además una vez finalizado su desarrollo y puesta en marcha se analizaran posibles mejoras para poder perfeccionarla en su totalidad. ABSTRACT In this final degree project will take out the development of a web application from its inception, until its full performance management. These applications have an emerging market growth, implying that competition between them is very high. Therefore the design of the application that will be developed in this work has been delicately care. It's a painstaking process which will provide each of the parties which will contain the application unique features that were translated into functionality for the user, such as: add their own expenses and monthly income, make graphs of your major expenses, obtaining advice from an external source, etc... These features of unique character together with other more general, such as graphic design in a wide range of colors, will make more easy and intuitive handling. It should be noted that to optimize its use, the application will have the characteristic of being responsive, will be able to modify your interface according to the size of the screen of the device from which are accessed. For its development, it is to use one of the newest technologies on the market and being one of the most revolutionary moment, MEAN. JS. The economic management of personal expenses application will be created with this innovative technology. Thanks to the innovative nature of applying this new technology, the challenges posed by this project are varied, from how to structure the folders of the project and all the backend part up to how to perform the part of frontend design. In addition once finished its development and commissioning possible improvements will analyze to be able to perfect it in its entirety.