Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2009-03-17
Phys. Lett. A 372, 1851(2008)
Nonlinear Sciences
Chaotic Dynamics
13 pages, 6 figures
Scientific paper
10.1016/j.physleta.2007.10.052
We show that using the concept of the two-dimensional level number N_{|} one can experimentally study of the nodal domains in a three-dimensional (3D) microwave chaotic rough billiard with the translational symmetry. Nodal domains are regions where a wave function has a definite sign. We found the dependence of the number of nodal domains aleph_{N_{|}} lying on the cross-sectional planes of the cavity on the two-dimensional level number N_{|}. We demonstrate that in the limit N_{|} -> infinity the least squares fit of the experimental data reveals the asymptotic ratio aleph_{N_{|}}/N_{|} = 0.059 +- 0.029 that is close to the theoretical prediction aleph_{N_{|}}/N_{|} = 0.062. This result is in good agreement with the predictions of percolation theory.
Bauch Szymon
Hul Oleh
Savytskyy Nazar
Sirko Leszek
Tymoshchuk Oleg
No associations
LandOfFree
Investigation of nodal domains in a chaotic three-dimensional microwave rough billiard with the translational symmetry 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 Investigation of nodal domains in a chaotic three-dimensional microwave rough billiard with the translational symmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Investigation of nodal domains in a chaotic three-dimensional microwave rough billiard with the translational symmetry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-491297