Talk:Scroll wave turbulence
This mini-review provides a good survey of scroll wave turbulence. It could be completed by mentionning two further points.
The first one is the connection between the all-important sign of the scroll line tension and the direction of spiral drift in an external electric field (1,2). This is particularly interesting since the drift direction of a spiral in an electric field has been shown to change as a function of the medium excitability (3).
The second one is the control of scroll turbulence. In particular, possible control by a weak non-resonant modulation could be mentionned (4).
(1) Spiral drift in an external field was observed by
Agladze K I, de Kepper P, J Phys Chem 96 5239 (1992) and
Steinbock O et al Phys. Rev. Lett. 68, 248 (1992). (2) The connection between spiral drift in an external field
was noted in Hakim V, Karma A Phys. Rev. E 60, 5073-5105 (1999)
and studied in detail in Henry H, Hakim V Phys Rev E 65, 046235 (2002) (3) This was pointed out in Krinsky V, Hamm E, Voignier V Phys. Rev. Lett. 76, 3854-3857 (1996). The exact location of this drift direction change has subsequently been understood as a resonance between the spiral rotation frequency and the meander instability frequency (the imaginary part of the meander modes)in H Henry Phys Rev E 70, 026204 (2004). (4) This was pointed out Alonso S, Sagues F, Mikhailov AS, Science 299, 1722-1725 (2003); a general review of control of turbulence in chemical systems is Mikhailov AS, Showalter K, Physics Reports 425, 79-194 (2006).
This is a nice review on scroll wave turbulence. However, I miss a few points, that could broaden the scope of the article.
Although the title of the review is "scroll wave turbulence", it is mostly centered on the instabilities that give rise to this state. I think that it could be worth to discuss what is known about the statistical properties of SWT, as for instance the change in time of the number and length of the filaments, their lifetime, etc. Also, how this state differs from 2D spiral break-up, and if its properties are different depending on the originating mechanism. Some work on this can be found in:
R.H. Clayton, A.V. Holden, Phys. Med. Biol. 47, 225 (2002); 47, 1777 (2002).
R.H. Clayton, CHAOS 18, 043127 (2008)
R.H. Clayton, E.A. Zhuchkovab, A.V. Panfilov, Prog. Bio. Mol. Bio. 90, 378 (2006)
R.M. Zaritski, S.F. Mironov, A.M. Pertsov, PRL 92, 168302 (2004)
J. Davidsen, M. Zhan, R. Kapral PRL 101, 208302 (2008)
As a second point, I wonder if the review should be focused only on excitable media, or it should include SWT found in oscillatory media. In fact, the definition that is given for SWF ("Self-sustained regime in excitable media mediated by three-dimensional instability of scroll waves") implies that this is a property of excitable systems, which I find too narrow. See, for instance:
J.C. Reid, H. Chate, J. Davidsen, EPL 94, 68003 (2011)
and also
G. Rousseau, H. Chaté, R. Kapral, Chaos 18, 026103 (2008)
