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arXiv 0909.2844astro-ph.EPastro-ph.SR
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二维径向分层天体物理圆盘中模式的线性耦合

Linear coupling of modes in 2D radially stratified astrophysical discs

A. G. Tevzadze, G. D. Chagelishvili, G. Bodo, P. Rossi

摘要:

本文研究了具有径向分层和微分旋转的二维可压缩圆盘中的模式耦合。我们利用线性扰动的整体径向标度,研究了局部剪切片近似中的线性模。我们采用三模形式,研究了涡度(W)、熵(S)和压缩(P)模及其耦合性质。该系统表现出不对称的三模耦合:这些包括S和P-模式,S和W-模式的相互耦合,以及W和P-模式之间的不对称耦合。P模扰动能够通过间接的三模耦合产生位涡。这一过程表明,压缩扰动可以导致涡结构的发展,并影响径向分层流体动力吸积和原行星盘的动力学。

英文摘要:

We investigate mode coupling in a two dimensional compressible disc with radial stratification and differential rotation. We employ the global radial scaling of linear perturbations and study the linear modes in the local shearing sheet approximation. We employ a three-mode formalism and study the vorticity (W), entropy (S) and compressional (P) modes and their coupling properties. The system exhibits asymmetric three-mode coupling: these include mutual coupling of S and P-modes, S and W-modes, and asymmetric coupling between the W and P-modes. P-mode perturbations are able to generate potential vorticity through indirect three-mode coupling. This process indicates that compressional perturbations can lead to the development of vortical structures and influence the dynamics of radially stratified hydrodynamic accretion and protoplanetary discs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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