Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Multi-armed vortices in an active chemical medium

Abstract

An excellent example of self-organization in nonequilibrium systems1,2 is the origination of rotating spiral vortices. These vortices have been observed in a wide range of active media—in the morphogenesis processes of social amoeba Dictyostelium discoideum3,4, in cardiac muscle during some arrhythmias5 and in the Belousov–Zhabotinsky reaction6–9. All these vortices are simple spirals. The rotating structures of a higher order of symmetry such as multiarmed vortices have not previously been observed experimentally. We have obtained two-, three- and four-armed rotating spiral vortices in an active chemical medium. These structures were appreciably stable and we observed their rotation for more than half an hour, which was in striking contrast to unstable multiple vortices in many other physical systems (such as superfluid 4He or superconductors10,11).

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Similar content being viewed by others

References

  1. Nicolis, G. & Prigogine, I. Self Organization in Non-Equilibrium Systems (Wiley, New York, 1977).

    MATH  Google Scholar 

  2. Ivanitsky, G. R., Krinsky, V. I., Zaikin, A. N. & Zhabotinsky, A. M. Soviet Sci. Rev. 2, 279–324 (1981).

    Google Scholar 

  3. Gerish, G. Curr. Top. dev. Biol. 3, 157 (1968).

    Article  Google Scholar 

  4. Durston, A. J. Devl Biol. 37, 225–235 (1974).

    Article  CAS  Google Scholar 

  5. Allesie, M. A., Bonke, F. I. M. & Shopman, F. J. G. Circulation Res. 41, 9 (1977).

    Article  Google Scholar 

  6. Zaikin, A. N. & Zhabotinsky, A. M. Nature 225, 535 (1970).

    Article  ADS  CAS  Google Scholar 

  7. Zhabotinsky, A. M. & Zaikin, A. N. in Oscillatory Processes in Biological and Chemical Systems Vol. 2 (Centre of Biological Research, Puschino-on-Oka, 1971) (in Russian).

    Google Scholar 

  8. Winfree, A. T. Science 175, 634 (1972).

    Article  ADS  CAS  Google Scholar 

  9. Winfree, A. T. Science 185, 937 (1973).

    Article  ADS  Google Scholar 

  10. Zeldovich, J. B. & Malomed, B. A. Doklady Acad. nauk USSR 254, 92 (1980).

    Google Scholar 

  11. Volovik, G. E. & Mineev, V. P. Physics and Topology (Znanie, Moscow, 1980) (in Russian).

    Google Scholar 

  12. Jacobs, S. S. & Epstein, I. R. J. Am. chem. Soc. 98, 1721 (1976).

    Article  CAS  Google Scholar 

  13. Krinsky, V. I. & Agladze, K. I. Physica D (submitted).

  14. Polyakov, A. M. J. exp. theor. Phys. 68, (1975) (in Russian).

  15. Malomed, B. A. & Krinsky, V. I. Physica D (submitted).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Agladze, K., Krinsky, V. Multi-armed vortices in an active chemical medium. Nature 296, 424–426 (1982). https://doi.org/10.1038/296424a0

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/296424a0

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing