A 2D fusion reactor based on the dyson gas dynamics

A 2D fusion reactor model is built, according to the analogies that exist between Random Matrix Theory and 2D Coulomb gases. The model consists of No initial charges confined to a circumference. These charges move according to a Brownian motion model for the angular step. If the system jumps to a state where two charges are separated less than a critical fusion length (theta_f=0.1*ell_f*S{N0}), a fusion event occurs, and the charges are taken out of the simulation. Simulations were done for N_0=50 and N_0=100, under different ell_f. It was found that the system evolves to a finite non zero value for number of charges N_F, according to ell_f, and independent of temperature beta. For N=50, the final fraction of charges on the system tends to 0.65. For N=100, this number tends to 0.45. This model is proposed as a first approximation to study toroidal fusion reactors

• Autores: González Ortiz, Cristhian Eduardo
• Tipo de recurso: Trabajo de grado de pregrado
• Fecha de publicación: 2018
• Institución: Universidad de los Andes
• Repositorio: Séneca: repositorio Uniandes
• Idioma: eng
• OAI Identifier: oai:repositorio.uniandes.edu.co:1992/40287
• Acceso en línea: http://hdl.handle.net/1992/40287
• Palabra clave: Matrices aleatorias; Reactores de fusión nuclear; Física
• Rights: openAccess
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/