Modelo contínuo para vórtices de London a T > 0

Abstract

In this work, we validate a continuum model that describes the dynamics of overdamped systems. Namely, we investigate the dynamics of type-II superconducting vortices. Previous works have shown that a good model for these system may be developed by investigating the properties of the homogeneous system. That is, knowing only the homogeneous states of this system it is possible to obtain a dynamical description for the particle density ρ(r, t) out of the stationary state. In this dissertation the case were thermal fluctuations are relevant is investigated. We employ Monte-Carlo simulations to determine the average internal energy per particle Uint (ρ, T), given the conditions of temperature and density. The continuum model obtained allows us to determine the stationary state of a confined system. Finally, Monte-Carlo simulations of the confined system allow us to validate the efficiency of our model.