Wave-number Space Networks in Plasma Turbulence - Archive ouverte HAL
Article Dans Une Revue Reviews of Modern Plasma Physics Année : 2023

Wave-number Space Networks in Plasma Turbulence

Ö. Gürcan

Résumé

Turbulence commonly described in Fourier space due to its multi-scale nature can be formulated using wave number space networks where each node represents a wave-vector on a discretized wave-number space grid that are connected to one another through triadic interactions denoted as three body connections. This description that we call wave-number space network formulation, while being very inefficient for numerical implementation as compared for example to a pseudo-spectral formulation of the same equations on a regular grid, provides an alternative perspective and has conceptual advantages, such as the separation of the equations and the nonlinear interactions. The network represents, through its connections, the nonlinear interactions, and can be truncated by dropping nodes, or connections corresponding to considering only certain kinds of wave-numbers or certain kinds of interactions, without modifying the equations themselves. This guarantees that the underlying Hamiltonian structure of the equations remains unchanged, and therefore one has the same conservation laws as the original system. Wave-number space networks can also be reduced by lumping nodes that have some similar characteristics together, in which case a reduction of the equations through some sort of closure becomes necessary, for which some possibilities are discussed. The network formulation can also be used for analysing direct numerical simulations, and may be used for discovering key nodes as well as training models for constructing reduced systems. The goal of this review is to stimulate interest in thinking in terms of networks, while dealing with problems in plasma turbulence Wave-number Space Networks in Plasma Turbulence through a survey of what has been done in this subfield and what is possible for future studies, especially in the context of plasma turbulence.
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Dates et versions

hal-04212188 , version 1 (20-09-2023)

Identifiants

Citer

Ö. Gürcan. Wave-number Space Networks in Plasma Turbulence. Reviews of Modern Plasma Physics, 2023, 7 (1), pp.20. ⟨10.1007/s41614-023-00122-7⟩. ⟨hal-04212188⟩
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