Operator product expansion and multi-point correlations in turbulent energy cascades

Gregory Falkovich; Alexander Zamolodchikov

doi:https://doi.org/10.1088/1751-8113/48/18/18FT02

Operator product expansion and multi-point correlations in turbulent energy cascades

Gregory Falkovich, Alexander Zamolodchikov

Department of Physics of Complex Systems

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We discuss general features of the operator product expansion and use it to infer multi-point manifestations of the energy cascade in turbulence. We calculate explicitly the possible form of the three-point velocity correlation function when one distance is smaller than two others. We elucidate manifestation of direct and inverse energy cascades in the three-point velocity correlation function.

Original language	English
Article number	18FT02
Pages (from-to)	1-15
Number of pages	15
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	48
Issue number	18
DOIs	https://doi.org/10.1088/1751-8113/48/18/18FT02
State	Published - 15 Apr 2015

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Physics and Astronomy
Statistics and Probability
Mathematical Physics
Modelling and Simulation

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https://doi.org/10.1088/1751-8113/48/18/18FT02

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title = "Operator product expansion and multi-point correlations in turbulent energy cascades",

abstract = "We discuss general features of the operator product expansion and use it to infer multi-point manifestations of the energy cascade in turbulence. We calculate explicitly the possible form of the three-point velocity correlation function when one distance is smaller than two others. We elucidate manifestation of direct and inverse energy cascades in the three-point velocity correlation function.",

author = "Gregory Falkovich and Alexander Zamolodchikov",

note = "The work of GF was supported by the grants of the BSF, ISF and Minerva foundations and by the RScF grant 14-22-00259 (analytic theory). GF acknowledges kind hospitality of the Rutgers University and AZ acknowledges kind hospitality of the Weizmann Institute of Science, where most of this work was done. Research of AZ was supported in part by DOE grant DE-FG02-96ER40959, and by the BSF grant.",

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AU - Zamolodchikov, Alexander

N1 - The work of GF was supported by the grants of the BSF, ISF and Minerva foundations and by the RScF grant 14-22-00259 (analytic theory). GF acknowledges kind hospitality of the Rutgers University and AZ acknowledges kind hospitality of the Weizmann Institute of Science, where most of this work was done. Research of AZ was supported in part by DOE grant DE-FG02-96ER40959, and by the BSF grant.

PY - 2015/4/15

Y1 - 2015/4/15

N2 - We discuss general features of the operator product expansion and use it to infer multi-point manifestations of the energy cascade in turbulence. We calculate explicitly the possible form of the three-point velocity correlation function when one distance is smaller than two others. We elucidate manifestation of direct and inverse energy cascades in the three-point velocity correlation function.

AB - We discuss general features of the operator product expansion and use it to infer multi-point manifestations of the energy cascade in turbulence. We calculate explicitly the possible form of the three-point velocity correlation function when one distance is smaller than two others. We elucidate manifestation of direct and inverse energy cascades in the three-point velocity correlation function.

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M3 - مقالة

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JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 18

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ER -

Operator product expansion and multi-point correlations in turbulent energy cascades

Abstract

All Science Journal Classification (ASJC) codes

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