https://repositorio.uchile.cl/handle/2250/117678 Libros y capítulos de libros Fri, 08 May 2026 14:54:04 GMT 2026-05-08T14:54:04Z https://repositorio.uchile.cl/handle/2250/197347 On the analysis of the Fukui function Fuentealba Rosas, Patricio Armando; Cárdenas Valencia, Carlos Alberto In this chapter we review the fundamentals and some applications of the Fukui Function. This was defined almost 40 years ago by Robert Parr in a fantastic example of how density-functional-theory provides a formal framework for chemical reactivity concepts. The Fukui function is a generalization of Fukui's work on the regions of a molecule that are most likely to transfer electrons, and therefore most reactive. Sun, 01 Jan 2023 00:00:00 GMT https://repositorio.uchile.cl/handle/2250/197347 2023-01-01T00:00:00Z https://repositorio.uchile.cl/handle/2250/195194 La gran aventura del conocimiento: un paseo con las matemáticas en cuatro estaciones Jiménez Palma, Leslie Alejandra; Rojas Molina, Constanza Lejos de lo que suponemos, las matemáticas no son una disciplina rígida, sino que conecta distintas áreas de nuestras vidas. En la Antigua Grecia, por ejemplo, y luego de varias observaciones, Pitágoras estableció que había geometría en el tarareo de las cuerdas y música en el espacio de las esferas, relacionando directamente lo visual con lo auditivo. Pero si hace miles de años atrás los griegos vinculaban las matemáticas con el arte, ¿cuál es el quehacer matemático hoy en día? Esta y otras preguntas son las que nos proponen Constanza y Leslie, las autoras de este brillante e innovador libro. A través de capítulos breves y acompañados con ilustraciones o sketchnotes, este texto está dirigido a todas las personas, sepan o no matemáticas, principalmente, para aquellas que se sienten alejadas de ellas. Desde la historia del reloj de arena hasta la lectura de modelos que surgieron a raíz del Covid-19, y pasando por numerosos hitos históricos, conflictos mundiales, teoremas, personajes ilustres, científicas y profesoras, entre muchas otras más, La gran aventura del conocimiento. Un paseo con las matemáticas en cuatro estaciones es un viaje hacia nuestro propio proceso creativo, al corazón del conocimiento. Sun, 01 Jan 2023 00:00:00 GMT https://repositorio.uchile.cl/handle/2250/195194 2023-01-01T00:00:00Z https://repositorio.uchile.cl/handle/2250/194549 Advanced Numerical Tools for Studying Waves and Instabilities in Kappa Distributed Plasmas López, Rodrigo A.; Moya Fuentes, Pablo Sebastián; Shaaban, Shaaban M.; Lazar, Marian; Yoon, Peter H.; Poedts, Stefaan In this chapter we focus on the recent progress made on numerical analysis and tools facilitating the investigation of dispersion and stability of anisotropic Kappa distributed plasmas. Plasma waves and fluctuations are directly dependent on the non-thermal features of the particle velocity distributions, and understanding their properties is a primary goal, especially for collision-poor plasmas where physical processes are conditioned by the wave-particle interactions. Numerical dispersion solvers are developed to resolve complex (integral) dispersion relations and decode the full spectra of stable or unstable modes, but, traditionally, limited to idealized (bi-)Maxwellian representation of plasma populations. Here we discuss the advanced dispersion solvers recently developed for magnetized plasmas with anisotropic Kappa populations (e.g., bi-Kappa, combined or not with drifts), and compare their capabilities. The implication of these numerical solvers was extended to quasi-linear (QL) studies of kinetic instabilities, providing a complete description of their saturation as well as the relaxation of anisotropic populations.We will also emphasize the progress made in numerical simulations using different techniques, e.g., Vlasov or Particle-In-Cell (PIC) codes, to capture suprathermal effects in the initial Kappa distributions. Some illustrative cases of kinetic instabilities are considered to describe capabilities of these new codes, and compare the simulations with the results provided by the linear and QL numerical solvers. Fri, 01 Jan 2021 00:00:00 GMT https://repositorio.uchile.cl/handle/2250/194549 2021-01-01T00:00:00Z https://repositorio.uchile.cl/handle/2250/192991 Formation of Nanoparticles and Decoration of Organic Crystals Jara Vergara, Paul Sebastián; Herrera, Bábara; Yutronic Sáez, Nicolás In the last decades, nanoparticles have been of great research interest due to their unique quantum size effect and optical, electronic, magnetic, and supramolecular properties. In recent year, the face-selective adhesion of gold nanoparticles onto the crystal faces of organic crystals, also called “decoration” has been reported for first time. The organic single crystals may have surfaces with different chemical nature, allowing the opportunity to explore a wide variety of composite materials with highlights on anisotropic properties. The metal nanoparticle preparation methods can be classified as chemical and physical methods. Chemical methods consist mainly in the decomposition or precipitation of inorganic salts. For example, it is possible to obtain gold nanoparticles from a gold precursor like HAuCl4. Physical methods involve principally the production of gas phase atoms or clusters by diving of the bulk material. Other remarkable preparation method is the sputtering, where a high-purity metal target is bombarded with argon ions, followed by the subsequent deposition of the sputtered metal atoms on the surface of a substrate support to create a uniform dispersion of nanoparticles. This technique has some advantages over other preparation methods like the no contamination from solvent or precursor molecules on the surface. Also, the process is economical and environmentally friendly, since the metal excess is recoverable from the chamber and without liquid waste. Fri, 01 Jan 2016 00:00:00 GMT https://repositorio.uchile.cl/handle/2250/192991 2016-01-01T00:00:00Z