The power of two dimensions

Certain aspects of two-dimensional turbulence are remarkably similar to those found in critical percolation, and show conformal invariance. But there is both less, and more, to this observation than meets the eye.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.


All prices are NET prices.

Figure 1: An example of critical percolation.


  1. 1

    Bernard, D., Boffetta, G., Celani, A. & Falkovich, G. Nature Phys. 2, 124–128 (2006).

    ADS  Article  Google Scholar 

  2. 2

    Kolmogorov, A. N. Dokl. Akad. Nauk SSSR 30, 9–13 (1941); reprinted in Proc. R. Soc. Lond. A 434, 9–13 (1991).

    Google Scholar 

  3. 3

    Kraichnan, R. H. Phys. Fluids 10, 1417–1423 (1967).

    ADS  MathSciNet  Article  Google Scholar 

Download references

Author information



Rights and permissions

Reprints and Permissions

About this article

Cite this article

Cardy, J. The power of two dimensions. Nature Phys 2, 67–68 (2006). https://doi.org/10.1038/nphys223

Download citation

Further reading