Mendonça J T, Bingham R, Shukla P K
GoLP, Instituto Superior Técnico, 1049-001 Lisboa, Portugal.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1 Pt 2):016406. doi: 10.1103/PhysRevE.68.016406. Epub 2003 Jul 11.
A general view is proposed on wave propagation in fluids and plasmas where the resonant interaction of monochromatic waves with quasiparticles is considered. A kinetic equation for quasiparticles is used to describe the broadband turbulence interacting with monochromatic waves. Resonant interactions occur when the phase velocity of the long wavelength monochromatic wave is nearly equal to the group velocity of short wavelength wave packets, or quasiparticles, associated with the turbulent spectrum. It is shown that quasiparticle Landau damping can take place, as well as quasiparticle beam instabilities, thus establishing a direct link between short and large wavelength perturbations of the medium. This link is distinct from the usual picture of direct and inverse energy cascades, and it can be used as a different paradigm for the fluid and plasma turbulence theories.
本文提出了一种关于流体和等离子体中波传播的总体观点,其中考虑了单色波与准粒子的共振相互作用。使用准粒子的动力学方程来描述与单色波相互作用的宽带湍流。当长波长单色波的相速度几乎等于与湍流谱相关的短波长波包或准粒子的群速度时,就会发生共振相互作用。结果表明,准粒子朗道阻尼以及准粒子束不稳定性都可能发生,从而在介质的短波长和大波长扰动之间建立了直接联系。这种联系不同于通常的正向和反向能量级联图景,它可以作为流体和等离子体湍流理论的一种不同范式。