Dynamical analysis of bidimensional Coulomb fluids on a disc using the Langevin equation

Undergraduate Thesis in Physics, Universidad de los Andes (2019)

This project presents a dynamical analysis of a configuration between a disk and charged particles. Using Langevin equation we observe the behavior of said configuration before and on equilibrium. For the case of one particle, we find that the when the electric force between the disk and the charged particle is small, the system grows exponentially with no signs of reaching equilibrium; on the other hand, when this force is greater, we find that the density distribution in equilibrium follows the distribution reported in literature. For more charges surrounding the disk, we find a similar behavior in the weak coupling limit to the one found in one particle. However we also find a case where some charges escape the disk, the intermediate coupling limit, and all stay surrounding the disk, the strong coupling limit. Both of this cases follow a distribution reported in literature.


Grupo de Física Estadística

Departamento de Física

Edificio Ip

Carrera 1E # 18A-10

Bogotá, Colombia

Universidad de los Andes | Vigilada Mineducación
Reconocimiento como Universidad: Decreto 1297 del 30 de mayo de 1964.
Reconocimiento personería jurídica: Resolución 28 del 23 de febrero de 1949 Minjusticia.

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