Collision Integrals in the Kinetic Equations of dilute Bose-Einstein Condensates

Details Collision Integrals in the Kinetic Equations of dilute Bose-Einstein Condensates Collision Integrals in the Kinetic Equations of dilute Bose-Einstein Condensates

2012-02-15

arxiv.org/abs/1202.3418v1

Physics

Condensed Matter

Quantum Gases

17 pages

Scientific paper

We derive the mean field kinetic equation for the momentum distribution of Bogoliubov excitations (bogolons) in a spatially uniform Bose-Einstein condensate (BEC), with a focus on the collision integrals. We use the method of Peletminksii and Yatsenko rather than the standard non-equilibrium Green's function formalism. This method produces three collision integrals ${\cal G}^{12}$, ${\cal G}^{22}$ and ${\cal G}^{31}$. Only ${\cal G}^{12}$ and ${\cal G}^{22}$ have been considered by previous authors. The third collision integral ${\cal G}^{31}$ contains the effects of processes where one bogolon becomes three and vice versa. These processes are allowed because the total number of bogolons is not conserved. Since ${\cal G}^{31}$ is of the same order in the interaction strength as ${\cal G}^{22}$, we predict that it will significantly influence the dynamics of the bogolon gas, especially the relaxation of the total number of bogolons to its equilibrium value.

Affiliated with

Also associated with

No associations

Rating

Collision Integrals in the Kinetic Equations of dilute Bose-Einstein Condensates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Collision Integrals in the Kinetic Equations of dilute Bose-Einstein Condensates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collision Integrals in the Kinetic Equations of dilute Bose-Einstein Condensates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-558418