Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2001-10-09
Nonlinear Sciences
Chaotic Dynamics
4 pages, 6 figures, Latex
Scientific paper
10.1103/PhysRevLett.88.114102
Nodal domains are regions where a function has definite sign. In recent paper [nlin.CD/0109029] it is conjectured that the distribution of nodal domains for quantum eigenfunctions of chaotic systems is universal. We propose a percolation-like model for description of these nodal domains which permits to calculate all interesting quantities analytically, agrees well with numerical simulations, and due to the relation to percolation theory opens the way of deeper understanding of the structure of chaotic wave functions.
Bogomolny Eugene
Schmit Charles
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