Cartoon of nonlocal interaction
¥Eddy scale L decreases via shearing by
ZF
¥Potential enstrophy Z is
conserved.
¥=> Eddy energy E =Z L2 is decreasing
¥Total E is conserved, => E is transferred from the eddy to ZF
¥Wrong!
Both smaller and larger LÕs are
produced. The energy of the eddy is
unchanged. (Kraichnan 1976).
Victor P. Starr,Physics of Negative Viscosity Phenomena (McGraw Hill Book Co., New York 1968).