Sign-symmetry of temperature structure functions

Details Sign-symmetry of temperature structure functions Sign-symmetry of temperature structure functions

2004-04-13

arxiv.org/abs/nlin/0404025v1

Phys. Rev. E 69, 066315 (2004)

Nonlinear Sciences

Chaotic Dynamics

18 pages, 5 figures, accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.69.066315

New scalar structure functions with different sign-symmetry properties are defined. These structure functions possess different scaling exponents even when their order is the same. Their scaling properties are investigated for second and third orders, using data from high-Reynolds-number atmospheric boundary layer. It is only when structure functions with disparate sign-symmetry properties are compared can the extended self-similarity detect two different scaling ranges that may exist, as in the example of convective turbulence.

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