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Stability limits of spirals and traveling waves in nonequilibrium media

Title data

Aranson, Igor ; Aranson, Lilia ; Kramer, Lorenz ; Weber, Andreas:
Stability limits of spirals and traveling waves in nonequilibrium media.
Universität Bayreuth / Physikalisches Institut
In: Physical Review A. Vol. 46 (October 1992) Issue 6 . - R2992-R2995.
ISSN 0556-2791
DOI: https://doi.org/10.1103/PhysRevA.46.R2992

Abstract in another language

We show that the Eckhaus instability for traveling waves is of convective nature and does not directly lead to absolute instability. As a consequence spiral waves remain stable in a larger range than expected previously, transition to defect-mediated turbulence can be delayed beyond the Benjamin-Feir limit, and the occurrence of phase turbulence can be made plausible. We calculate the onset of absolute instability using the complex Ginzburg-Landau equation and verify the results by simulations.

Further data

Item Type: Article in a journal
Refereed: Yes
Subject classification: PACS number(s): 47.20.—k, 05.45.+b
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics II
Result of work at the UBT: Yes
DDC Subjects: 500 Science
500 Science > 530 Physics
Date Deposited: 04 May 2016 08:05
Last Modified: 04 May 2016 08:05
URI: https://eref.uni-bayreuth.de/id/eprint/32323