Defect chaos is studied numerically in coupled Ginzburg-Landau equations for parametrically driven waves. The motion of the defects is traced in detail yielding their lifetimes, annihilation partners, and distances traveled. In a regime in which in the one-dimensional case the chaotic dynamics is due to double phase slips, the two-dimensional system exhibits a strongly ordered stripe pattern. When the parity-breaking instability to traveling waves is approached this order vanishes and the correlation function decays rapidly. In the ordered regime the defects have a typical lifetime, whereas in the disordered regime the lifetime distribution is exponential. The probability of large defect loops is substantially larger in the disordered regime.
|Original language||English (US)|
|Number of pages||9|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - Jan 2 1998|
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics