The paper by A. F. Tuck (2010) contained an error on page 1141. The corrected sentences appear below:

Considering the theoretical case of 2D turbulence, there are reverse cascades of energy and enstrophy, upscale for the former and downscale for the latter. If photon energy is directly converted to vorticity as implied by the Alder-Wainwright mechanism, it would imply energy transfer upscale from the smallest, molecular, ones in the range 10–100 nanometres at tropospheric temperatures and pressures. However, the point is moot because the scale invariant structure of the abundances of the absorbers and emitters of radiation, including ozone, carbon dioxide, methane, nitrous oxide and water in all its phases, means that energy is input and lost to air on all scales, eliminating the possibility of conservative energy or enstrophy cascades either upscale or downscale.


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  2. Reference
  • Tuck AF. 2010. From molecules to meteorology via turbulent scale invariance. Q. J. R. Meteorol. Soc. 136: 11251144. DOI:10.1002/qj.644.