Sign-singular measures: Fast magnetic dynamos, and high-Reynolds-number fluid turbulence

Edward Ott; Yunson Du; K. R. Sreenivasan; A. Juneja; A. K. Suri

doi:10.1103/PhysRevLett.69.2654

Sign-singular measures: Fast magnetic dynamos, and high-Reynolds-number fluid turbulence

Edward Ott, Yunson Du, K. R. Sreenivasan, A. Juneja, A. K. Suri

Research output: Contribution to journal › Article

Abstract

It is shown that signed measures (i.e., measures that take on both positive and negative values) may exhibit an extreme form of singularity in which oscillations in sign occur everywhere on arbitrarily fine scale. A cancellation exponent is introduced to characterize such measures quantitatively, and examples of significant physical situations which display this striking type of singular behavior are discussed.

Original language	English (US)
Pages (from-to)	2654-2657
Number of pages	4
Journal	Physical Review Letters
Volume	69
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevLett.69.2654
State	Published - Jan 1 1992

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ASJC Scopus subject areas

Physics and Astronomy(all)

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Ott, E., Du, Y., Sreenivasan, K. R., Juneja, A., & Suri, A. K. (1992). Sign-singular measures: Fast magnetic dynamos, and high-Reynolds-number fluid turbulence. Physical Review Letters, 69(18), 2654-2657. https://doi.org/10.1103/PhysRevLett.69.2654

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Access to Document

10.1103/PhysRevLett.69.2654