7 papers
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…
Geometric Entropy and Retrieval Phase Transitions in Continuous Thermal Dense Associative Memory
Tatiana Petrova, Evgeny Polyachenko, Radu State
We study the thermodynamic memory capacity of modern Hopfield networks (Dense Associative Memory models) with continuous states under geometric constraints, extending classical ana…
Landau damping of disturbances in nearly inviscid inflectional shear flows
Evgeny V. Polyachenko, Ilia G. Shukhman, Michael Karp
We investigate the structure of damped two-dimensional perturbations in unstable plane-parallel shear flows with an inflection point. In inviscid flows within the stable wavenumber…
Dynamical evolution timescales for the supermassive black hole system in the galaxy NGC 7727 (Arp 222)
P. Berczik, M. Ishchenko, O. Veles +5
Context. A dual active galactic nucleus candidate with a separation of only 500 pc was recently found in NGC 7727. According to the hierarchical merging scenario, such objects woul…
Eigenvalues and Eigenfunctions of Landau Damping Oscillations in Very Weakly Collisional Plasma
Evgeny V. Polyachenko, Ilia G. Shukhman
Landau-damped oscillations in collisionless plasmas, described by van Kampen and Case, are quasi-modes, representing a continuous superposition of singular eigenfunctions, not true…
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…