LettersNo Access

SPIRAL WAVE MAINTAINED BY NOISE

The Department of Chemistry, School of Science, Beijing Institute of Technology, Beijing 100081, People's Republic of China

Institute of System Engineering, Shanghai Jiao Tong University, Shanghai 200052, People's Republic of China

Corresponding author.

Search for more papers by this author

QIAN SHU LI

The Department of Chemistry, School of Science, Beijing Institute of Technology, Beijing 100081, People's Republic of China

Search for more papers by this author

WEIGUO XU

Institute of System Engineering, Shanghai Jiao Tong University, Shanghai 200052, People's Republic of China

Search for more papers by this author

, and

DAIPING HU

Institute of System Engineering, Shanghai Jiao Tong University, Shanghai 200052, People's Republic of China

Search for more papers by this author

https://doi.org/10.1142/S0219477504002051Cited by:1 (Source: Crossref)

Abstract

The effect of Gaussian white noise on a chemical wavefront is studied in a modified FitzHugn–Nagumo model by applying numerical simulations. A rotating spiral waves can be formed if the medium is excitable enough and the fronts has a free end, when the reaction diffusion system is disturbed by a certain non-zero level noise. It is counterintuitive that noise plays a constructive role in the product and propagation of single spiral waves in this letter. Weak or strong noise will make against the product and propagation of spiral waves. In a certain noise level, spiral wave can be maintained in a medium, where such spiral waves cannot be observed in the absence of the noise.

Keywords:

References

M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993). Crossref, Web of Science, Google Scholar
R. Kapral and K. Showalter , Chemical Waves and Patterns ( Kluwer Academic Publishers , 1995 ) . Crossref, Google Scholar
S. Kädär, J. Wang and K. Showalter, Nature 391, 770 (1998). Crossref, Web of Science, Google Scholar
R. Imbihl and G. Ertl, Chem. Rev. 95, 697 (1995). Crossref, Web of Science, Google Scholar
P. Jung, Phys. Rev. Lett. 78, 1723 (1997). Crossref, Web of Science, Google Scholar
H. Hempel, L. Schimansky-Geier and J. García-Ojalvo, Phys. Rev. Lett. 82, 3713 (1999). Crossref, Web of Science, Google Scholar
P. Jung and G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995). Crossref, Web of Science, Google Scholar
Z. Houet al., Phys. Rev. Lett. 81, 2854 (1998). Web of Science, Google Scholar
J. Wanget al., Phys. Rev. Lett. 82, 855 (1999). Crossref, Web of Science, Google Scholar
J. F. Lindneret al., Phys. Rev. Lett. 81, 5048 (1998). Crossref, Web of Science, Google Scholar
J. M. Davidenkoet al., Nature 355, 349 (1992). Crossref, Web of Science, Google Scholar
L. Gammaitoniet al., Rev. Mod. Phys. 70, 223 (1998). Crossref, Web of Science, Google Scholar
P. Jung, Phys. Rev. E 61, 2095 (2000). Crossref, Web of Science, Google Scholar
M. Bär, A. K. Bangia and I. G. Kevrekidis, Phys. Rev. E 67, 056126 (2003). Crossref, Web of Science, Google Scholar
S. M. Tobias, Phys. Rev. Lett. 80, 4811 (1998). Crossref, Web of Science, Google Scholar
J. M. G. Vilar and J. M. Rubí, Phys. Rev. Lett. 78, 2886 (1997). Crossref, Web of Science, Google Scholar
D. Barkley, Physica D 49, 61 (1991). Crossref, Web of Science, Google Scholar
D. Barkley, Phys. Rev. Lett. 72, 164 (1994). Crossref, Web of Science, Google Scholar
D. Barkley, M. Kness and L. S. Tackerman, Phys. Rev. A 42, 2489 (1990). Crossref, Web of Science, Google Scholar