Two-time energy spectrum of weak magnetohydrodynamic turbulence
In this work a weak-turbulence closure is used to determine the structure of the two-time power spectrum of weak magnetohydrodynamic (MHD) turbulence from the nonlinear equations describing the dynamics. The two-time energy spectrum is a fundamental quantity in turbulence theory from which most stat...
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Published in | Physical review research Vol. 2; no. 2; p. 023189 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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American Physical Society
19.05.2020
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Abstract | In this work a weak-turbulence closure is used to determine the structure of the two-time power spectrum of weak magnetohydrodynamic (MHD) turbulence from the nonlinear equations describing the dynamics. The two-time energy spectrum is a fundamental quantity in turbulence theory from which most statistical properties of a homogeneous turbulent system can be derived. A closely related quantity, obtained via a spatial Fourier transform, is the two-point two-time correlation function describing the space-time correlations arising from the underlying dynamics of the turbulent fluctuations. Both quantities are central in fundamental turbulence theories as well as in the analysis of turbulence experiments and simulations. However, a first-principles derivation of these quantities has remained elusive due to the statistical closure problem, in which dynamical equations for correlations at order n depend on correlations of order n+1. The recent launch of the Parker Solar Probe (PSP), which will explore the near-Sun region where the solar wind is born, has renewed the interest in the heliophysics community to understand the structure and possible universal properties of space-time correlations. The weak MHD turbulence regime that we consider in this work allows for a natural asymptotic closure of the two-time spectrum, which may be applicable to other weak turbulence regimes found in fluids and plasmas. An integro-differential equation for the scale-dependent temporal correlation function is derived for incompressible Alfvénic fluctuations whose nonlinear dynamics is described by the reduced MHD equations. |
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AbstractList | In this work a weak-turbulence closure is used to determine the structure of the two-time power spectrum of weak magnetohydrodynamic (MHD) turbulence from the nonlinear equations describing the dynamics. The two-time energy spectrum is a fundamental quantity in turbulence theory from which most statistical properties of a homogeneous turbulent system can be derived. A closely related quantity, obtained via a spatial Fourier transform, is the two-point two-time correlation function describing the space-time correlations arising from the underlying dynamics of the turbulent fluctuations. Both quantities are central in fundamental turbulence theories as well as in the analysis of turbulence experiments and simulations. However, a first-principles derivation of these quantities has remained elusive due to the statistical closure problem, in which dynamical equations for correlations at order n depend on correlations of order n+1. The recent launch of the Parker Solar Probe (PSP), which will explore the near-Sun region where the solar wind is born, has renewed the interest in the heliophysics community to understand the structure and possible universal properties of space-time correlations. The weak MHD turbulence regime that we consider in this work allows for a natural asymptotic closure of the two-time spectrum, which may be applicable to other weak turbulence regimes found in fluids and plasmas. An integro-differential equation for the scale-dependent temporal correlation function is derived for incompressible Alfvénic fluctuations whose nonlinear dynamics is described by the reduced MHD equations. |
ArticleNumber | 023189 |
Author | Perez, Jean C. Bourouaine, Sofiane Azelis, Augustus A. |
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Cites_doi | 10.1086/589432 10.1103/RevModPhys.76.1015 10.3847/2041-8213/ab7fb1 10.1103/PhysRevLett.92.134501 10.3847/1538-4365/ab16d7 10.1103/PhysRevX.2.041005 10.1086/526342 10.1063/1.861310 10.1103/PhysRevLett.95.265004 10.5194/angeo-35-325-2017 10.1103/PhysRevLett.102.025003 10.1088/0004-637X/807/1/39 10.1063/1.2746572 10.1007/s11214-015-0164-9 10.1098/rspa.1966.0013 10.1063/1.4968236 10.1103/PhysRevLett.106.114502 10.3847/2041-8213/ab288a 10.5194/angeo-19-1207-2001 10.1007/978-3-642-15942-8 10.1103/PhysRevLett.97.255002 10.1086/509884 10.1017/S0022377899008284 10.3847/2041-8213/aabccf 10.1088/0004-637X/699/1/L39 10.3847/1538-4357/aa7d02 10.1007/s11214-015-0211-6 10.1088/2041-8205/721/1/L10 10.1093/mnras/stw3251 10.1086/344676 10.1017/jfm.2014.490 10.1086/431649 10.1098/rspa.1938.0032 10.1017/S0022377816001124 10.1017/CBO9780511535222 10.1209/0295-5075/96/55003 10.1103/PhysRevLett.119.221101 |
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References | PhysRevResearch.2.023189Cc21R1 PhysRevResearch.2.023189Cc20R1 PhysRevResearch.2.023189Cc23R1 PhysRevResearch.2.023189Cc22R1 PhysRevResearch.2.023189Cc40R1 PhysRevResearch.2.023189Cc17R1 PhysRevResearch.2.023189Cc18R1 PhysRevResearch.2.023189Cc39R1 PhysRevResearch.2.023189Cc8R1 PhysRevResearch.2.023189Cc19R1 PhysRevResearch.2.023189Cc9R1 PhysRevResearch.2.023189Cc13R1 PhysRevResearch.2.023189Cc14R1 PhysRevResearch.2.023189Cc35R1 PhysRevResearch.2.023189Cc15R1 PhysRevResearch.2.023189Cc16R1 PhysRevResearch.2.023189Cc37R1 PhysRevResearch.2.023189Cc3R1 PhysRevResearch.2.023189Cc2R1 PhysRevResearch.2.023189Cc6R1 PhysRevResearch.2.023189Cc7R1 PhysRevResearch.2.023189Cc4R1 PhysRevResearch.2.023189Cc5R1 D. Biskamp (PhysRevResearch.2.023189Cc1R1) 2003 S. Nazarenko (PhysRevResearch.2.023189Cc38R1) 2011 PhysRevResearch.2.023189Cc32R1 PhysRevResearch.2.023189Cc10R1 PhysRevResearch.2.023189Cc31R1 PhysRevResearch.2.023189Cc11R1 PhysRevResearch.2.023189Cc34R1 B. B. Kadomtsev (PhysRevResearch.2.023189Cc36R1) 1974; 38 PhysRevResearch.2.023189Cc12R1 PhysRevResearch.2.023189Cc33R1 PhysRevResearch.2.023189Cc28R1 PhysRevResearch.2.023189Cc25R1 PhysRevResearch.2.023189Cc24R1 PhysRevResearch.2.023189Cc27R1 PhysRevResearch.2.023189Cc26R1 |
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