Exact relations for energy transfer in simple and active binary fluid turbulence

Nandita, Pan,; Banerjee, Supratik

doi:10.1103/physreve.106.025104

Cited by 6 publications

(1 citation statement)

References 53 publications

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“…Another fascinating perspective is that of extending its range of applicability incorporating the non-collisional nature of space plasmas, to obtain scaling laws able to model the energy transfer in space plasmas at increasingly smaller (and less fluid) scales. A first step in that direction has been recently undertaken in Banerjee and Andrés (2020); Pan and Banerjee (2020), where a derivation of the KHM equation for a two-fluid description of plasmas was presented. This formulation implies a separate description of ions and electrons and may in future be adapted to model the energetics of other particles, such as the α or other minor ion species, exploiting the high-resolution observations provided by the Solar Orbiter spacecraft (Forveille and Shore, 2020).…”

Section: Theoretical and Numerical Modeling Perspectivesmentioning

confidence: 99%

Scaling Laws for the Energy Transfer in Space Plasma Turbulence

Marino,

Sorriso-Valvo

2023

Preprint

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One characteristic trait of space plasmas is the multi-scale dynamics resulting from non-linear transfers and conversions of various forms of energy. Routinely evidenced in a range from the large-scale solar structures down to the characteristic scales of ions and electrons, turbulence is a major cross-scale energy transfer mechanism in space plasmas. At intermediate scales, the fate of the energy in the outer space is mainly determined by the interplay of turbulent motions and propagating waves. More mechanisms are advocated to account for the transfer and conversion of energy, including magnetic reconnection, emission of radiation and particle energization, all contributing to make the dynamical state of solar and heliospheric plasmas difficult to predict. The characterization of the energy transfer in space plasmas benefited from numerous robotic missions. However, together with breakthrough technologies, novel theoretical developments and methodologies for the analysis of data played a crucial role in advancing our understanding of how energy is transferred across the scales in the space. In recent decades, several scaling laws were obtained providing effective ways to model the energy flux in turbulent plasmas. Under certain assumptions, these relations enabled to utilize reduced knowledge (in terms of degrees of freedom) of the fields from spacecraft observations to obtain direct estimates of the energy transfer rates (and not only) in the interplanetary space, also in the proximity of the Sun and planets. Starting from the first third-order exact law for the magnetohydrodynamics by Politano and Pouquet (1998), we present a detailed review of the main scaling laws for the energy transfer in plasma turbulence and their application, presenting theoretical, numerical and observational milestones of what has become one of the main approaches for the characterization of turbulent dynamics and energetics in space plasmas. Copyright permission for the seminar banner granted by [ESA/ATG medialab](https://www.esa.int/ESA_Multimedia/Images/2020/06/Solar_Orbiter_reaches_first_perihelion).

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Section: Theoretical and Numerical Modeling Perspectivesmentioning

confidence: 99%

Scaling Laws for the Energy Transfer in Space Plasma Turbulence

Marino,

Sorriso-Valvo

2023

Preprint

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Intermittency, fluctuations and maximal chaos in an emergent universal state of active turbulence

et al. 2023

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Universal relaxation of turbulent binary fluids

Pan,

Banerjee,

Halder

2024

Commun Phys

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Turbulent relaxation is the process of turbulent systems reaching the state of equilibrium, starting upon quenching the turbulence forcing acting on them. Such relaxation in binary fluids is instrumental for both fundamental science understanding and industrial applications, although potential differences in the relaxation of bulk and interface are still to be identified. Using direct numerical simulations of Cahn-Hilliard-Navier-Stokes equations, here we show that the bulk and the interface relax towards different states. However, both the relaxation channels can be accounted for via a universal pathway based on the recently proposed principle of vanishing nonlinear transfers. We find that the bulk of each fluid relaxes differently from the turbulent relaxation of a single hydrodynamic fluid. At the same time, the interface relaxes towards a Helmholtz-like pressure-balanced state. The present methodology can be directly applied to predict the turbulent relaxed states in active binary mixtures as well as other complex fluid systems.

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Exact relations for energy transfer in simple and active binary fluid turbulence

Cited by 6 publications

References 53 publications

Scaling Laws for the Energy Transfer in Space Plasma Turbulence

Scaling Laws for the Energy Transfer in Space Plasma Turbulence

Intermittency, fluctuations and maximal chaos in an emergent universal state of active turbulence

Universal relaxation of turbulent binary fluids

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