Anomalous compressible mode generation by global frame projections of pure Alfven mode

Yuen, Ka Ho; Yan, Huirong; Lazarian, Alex

doi:10.1093/mnras/stad287

Title: Anomalous compressible mode generation by global frame projections of pure Alfven mode

Journal Article · Mon Jan 30 00:00:00 EST 2023 · Monthly Notices of the Royal Astronomical Society

DOI:https://doi.org/10.1093/mnras/stad287· OSTI ID:1923642

^[1];

^[2]; Lazarian, Alex ^[3]

Univ. of Wisconsin, Madison, WI (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); Univ. of Potsdam (Germany)
Univ. of Wisconsin, Madison, WI (United States)

Alfven wave is the single most important physical phenomenon of magneto-hydrodynamic turbulence and has far-reaching impact to almost all studies related to astrophysical magnetic field. Yet the restoration of the Alfven wave fluctuations from a given magnetic field, aka the local Alfven wave problem, is never properly addressed in literature albeit its importance. Previous works model the Alfven wave fluctuation as the perturbation along a straight-line, constant magnetic field. However, Lazarian & Pogosyan (2012) suggested that the decomposition of Alfven wave along a straight line, aka. the global frame decomposition, has a factor of discrepancy to the true local Alfven wave fluctuation. Here, in this paper, we provide a geometric interpretation on how the local Alfven wave is related to the global frame through the use of vector frame formulation. We prove both analytically and numerically that the local frame Alfven wave is an orthogonal transformation of that of the global frame and related by the local Alfvenic Mach number. In other words, when we observe Alfven wave in the global frame of reference, some of the Alfven wave will be mistaken as compressible waves. The importance of frame choices have a far-reaching impact to the analytical studies of MHD turbulence. Combining the frame formalism and the new techniques we can have accurate measurement to some of the fundamental turbulence properties like the inclination angle of mean magnetic field relative to the line of sight.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF); National Aeronautics and Space Administration (NASA)

Grant/Contract Number:: 89233218CNA000001; AST 1816234; TCAN 144AAG1967; ATP AAH7546

OSTI ID:: 1923642

Report Number(s):: LA-UR-22-28314; TRN: US2312447

Journal Information:: Monthly Notices of the Royal Astronomical Society, Vol. 521, Issue 1; ISSN 0035-8711

Publisher:: Oxford University PressCopyright Statement

Country of Publication:: United States

Language:: English

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