AI Article Synopsis
- The study focuses on self-gravitating isothermal supersonic turbulence, particularly in scenarios with large Reynolds numbers, highlighting the balance of total energy in this complex system.
- An exact relation is derived for the turbulence, emphasizing the importance of two-point energy correlation functions while noting that traditional pressure dilatation terms have minimal impact on energy transfer.
- Additionally, the research suggests that in isotropic conditions, the interplay between density and gravitational effects significantly alters energy dynamics, and it introduces a framework for analyzing the energy budget on a scale-by-scale basis in spectral space.
Article Abstract
Self-gravitating isothermal supersonic turbulence is analyzed in the asymptotic limit of large Reynolds numbers. Based on the inviscid invariance of total energy, an exact relation is derived for homogeneous (not necessarily isotropic) turbulence. A modified definition for the two-point energy correlation functions is used to comply with the requirement of detailed energy equipartition in the acoustic limit. In contrast to the previous relations (S. Galtier and S. Banerjee, Phys. Rev. Lett. 107, 134501 (2011)PRLTAO0031-900710.1103/PhysRevLett.107.134501; S. Banerjee and S. Galtier, Phys. Rev. E 87, 013019 (2013)PLEEE81539-375510.1103/PhysRevE.87.013019), the current exact relation shows that the pressure dilatation terms play practically no role in the energy cascade. Both the flux and source terms are written in terms of two-point differences. Sources enter the relation in a form of mixed second-order structure functions. Unlike the kinetic and thermodynamic potential energies, the gravitational contribution is absent from the flux term. An estimate shows that, for the isotropic case, the correlation between density and gravitational acceleration may play an important role in modifying the energy transfer in self-gravitating turbulence. The exact relation is also written in an alternative form in terms of two-point correlation functions, which is then used to describe scale-by-scale energy budget in spectral space.
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| http://dx.doi.org/10.1103/PhysRevE.96.053116 | DOI Listing |
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