TY - JOUR
T1 - Ordered and disordered defect chaos
AU - Granzow, Glen D.
AU - Riecke, Hermann
N1 - Funding Information:
H.R. gratefully acknowledges discussions with L. Kadanoff, R. Lipowsky and J. Marko. This work was supported by DOE through Grant DE-FG02-92ER14303 and made use of the resources of the Cornell Theory Center, which receives major funding from NSF and New York State with additional support from the Advanced Research Projects Agency, the National Center for Research Resources at the National Institutes of Health, IBM Corporation and members of the Corporate Research Institute.
PY - 1998/1/2
Y1 - 1998/1/2
N2 - 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.
AB - 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.
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U2 - 10.1016/S0378-4371(97)00428-7
DO - 10.1016/S0378-4371(97)00428-7
M3 - Article
AN - SCOPUS:0031999521
SN - 0378-4371
VL - 249
SP - 27
EP - 35
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-4
ER -