Pramana | |
Field theoretic calculation of energy cascade rates in non-helical magnetohydrodynamic turbulence | |
Mahendra K Verma11  | |
[1] Department of Physics, Indian Institute of Technology, Kanpur 208 016, India$$ | |
关键词: Magnetohydrodynamics; turbulence; ï¬eld theory.; | |
DOI : | |
学科分类:物理(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
Energy cascade rates and Kolmogorov’s constant for non-helical steady magnetohydrodynamic turbulence have been calculated by solving the flux equations to the ï¬rst order in perturbation. For zero cross helicity and space dimension ð‘‘ = 3, magnetic energy cascades from large length-scales to small length-scales (forward cascade). In addition, there are energy fluxes from large-scale magnetic ï¬eld to small-scale velocity ï¬eld, large-scale velocity ï¬eld to small-scale magnetic ï¬eld, and large-scale velocity ï¬eld to large-scale magnetic ï¬eld. Kolmogorov’s constant for magnetohydrodynamics is approximately equal to that for fluid turbulence (≈ 1.6) for Alfvén ratio 0.5 ≤ ð‘ŸA ≤ ∞. For higher space-dimensions, the energy fluxes are qualitatively similar, and Kolmogorov’s constant varies as ð‘‘1/3. For the normalized cross helicity ðœŽc → 1, the cascade rates are proportional to (1-ðœŽc)/(1+ðœŽc), and the Kolmogorov’s constants vary signiï¬cantly with ðœŽc.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201912040496384ZK.pdf | 188KB | download |