Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-11-03
Nonlinear Sciences
Chaotic Dynamics
4 pages, 3 figures
Scientific paper
The probability current statistics of two-dimensional open chaotic ballistic billiards is studied both analytically and numerically. Assuming that the real and imaginary parts of the scattering wave function are both random Gaussian fields, we find a universal distribution function for the probability current. In by-passing we recover previous analytic forms for wave function statistics. The expressions bridge the entire region from GOE to GUE type statistics. Our analytic expressions are verified numerically by explicit quantum-mechanical calculations of transport through a Bunimovich billiard.
Berggren Karl-Fredrik
Ishio Hiromu
Sadreev Almas. F.
Saichev Alexander I.
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