Two component plasma at ?=2 : a random matrix theory semi-application

"In this project we study some aspects of equilibrium statistical mechanics for a classical two-dimensional one-component Coulomb plasma (logarithmic interaction) with circular symmetry and N point-like charges. The model presented is an extension of the one studied by Mallarino and Téllez. The configuration is such that there are N particles of charge q each, constrained to lie all over a two dimensional plane, which has regions delimited by two charged disks such that Nq-Q1 - Q2 = 0. In this model, M counterions are inside the area demarcated by the first disk, additionally there are L ions between the two disks and finally P outside the second one. We focus our research in finding the correlation functions, the integrated charge and the contact density for a Coupling constant ?=2, where the system is exactly solvable according to analogies between 2D Coulomb gases and Random Matrix Theory." -- Tomado del Formato de Documento de Grado.

• Autores: Sáenz Rodríguez, Boris Nicolás
• Tipo de recurso: Trabajo de grado de pregrado
• Fecha de publicación: 2019
• Institución: Universidad de los Andes
• Repositorio: Séneca: repositorio Uniandes
• Idioma: eng
• OAI Identifier: oai:repositorio.uniandes.edu.co:1992/60948
• Acceso en línea: http://hdl.handle.net/1992/60948
• Palabra clave: Dinámica del plasma; Funciones de Coulomb; Matrices aleatorias; Mecánica estadística
• Rights: openAccess
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/