Turbulência de Ondas em condensados de Bose-Einstein
View/ Open
Date
2018-02-19Author
Santos Filho, Marcos Alberto Gonçalves dos
Metadata
Show full item recordAbstract
In this work we used as a starting point the theory developed by Zakharov and Nazarenko for treating wave turbulence in systems
with weak non linearity such as atomic Bose-Einstein condensates with low enough temperature to be described by the
Gross-Pitaevskii model. After we obtained the kinetic equation for the condensate and extracted the out of equilibrium
stationary solution, the so called Kolmogorov-Zakharov cascates, we set course to our objective of demonstrating
that it is possible to conciliate this solutions of the kinetic equation with the hydrodynamical properties of the
condensate. In order to do that we calculated the correlation function of the condensate current for both the weak
condensate state and the strong condensate state using the respective wave turbulence cascates. With this result we
have shown that there is a connection between the arising of wave turbulence and the variables related to the hydrodynamical
turbulence of this system, which are essential for the comprehension of quantum turbulence as a whole.