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 journalArticle

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 languageEnglish (US)
Pages (from-to)2654-2657
Number of pages4
JournalPhysical Review Letters
Volume69
Issue number18
DOIs
StatePublished - 1992

Fingerprint

rotating generators
high Reynolds number
turbulence
fluids
cancellation
exponents
oscillations

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Sign-singular measures : Fast magnetic dynamos, and high-Reynolds-number fluid turbulence. / Ott, Edward; Du, Yunson; Sreenivasan, K. R.; Juneja, A.; Suri, A. K.

In: Physical Review Letters, Vol. 69, No. 18, 1992, p. 2654-2657.

Research output: Contribution to journalArticle

Ott, Edward ; Du, Yunson ; Sreenivasan, K. R. ; Juneja, A. ; Suri, A. K. / Sign-singular measures : Fast magnetic dynamos, and high-Reynolds-number fluid turbulence. In: Physical Review Letters. 1992 ; Vol. 69, No. 18. pp. 2654-2657.
@article{4bf82957eaaf4a47bc8561c5ea68fe86,
title = "Sign-singular measures: Fast magnetic dynamos, and high-Reynolds-number fluid turbulence",
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.",
author = "Edward Ott and Yunson Du and Sreenivasan, {K. R.} and A. Juneja and Suri, {A. K.}",
year = "1992",
doi = "10.1103/PhysRevLett.69.2654",
language = "English (US)",
volume = "69",
pages = "2654--2657",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "18",

}

TY - JOUR

T1 - Sign-singular measures

T2 - Fast magnetic dynamos, and high-Reynolds-number fluid turbulence

AU - Ott, Edward

AU - Du, Yunson

AU - Sreenivasan, K. R.

AU - Juneja, A.

AU - Suri, A. K.

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0000661931&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000661931&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.69.2654

DO - 10.1103/PhysRevLett.69.2654

M3 - Article

AN - SCOPUS:0000661931

VL - 69

SP - 2654

EP - 2657

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 18

ER -