27 citations · 93 across the 19 of their papers we have counts for
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A radial basis of massless potential-density pairs
E. V. Polyachenko, I. G. Shukhman
In the matrix method for linear perturbations of spherical stellar systems, the perturbed potential and density are expanded over a set of potential-density pairs. For radial pertu…
Two sets of potential-density basis pairs for the study of radial perturbations in collisionless spherical stellar systems
E. V. Polyachenko, I. G. Shukhman
The Kalnajs matrix method is a widely used framework for studying the global linear stability and possible Landau damping of collisionless stellar systems. However, for radial pert…
A generalized linear matrix method for normal modes in collisionless stellar disks
Evgeny V. Polyachenko, Ilia G. Shukhman
We generalize the linear matrix method for computing normal modes in collisionless stellar disks to distribution functions with sharp edges at zero angular momentum (). The ge…
Dynamics of stellar systems with collisions: eigenvalues and eigenfunctions in nearly collisionless limit
Evgeny V. Polyachenko, Ilia G. Shukhman
We examine the decay of perturbations in an infinite homogeneous self-gravitating model with a Maxwellian distribution function (DF) when weak collisions are present. In collisionl…
Scale-invariant Mode in Collisionless Spherical Stellar Systems
Evgeny V. Polyachenko, Ilia G. Shukhman
An analytical solution of the perturbed equations is obtained, which exists in all ergodic models of collisionless spherical stellar systems with a single length parameter. This so…
Damped perturbations in stellar systems: Genuine modes and Landau-damped waves
Evgeny V. Polyachenko, Ilia G. Shukhman, Olga I. Borodina
This research was stimulated by the recent studies of damping solutions in dynamically stable spherical stellar systems. Using the simplest model of the homogeneous stellar medium,…