Jeans instability and hydrodynamic roots of Landau damping

TL;DR

This paper reveals that Landau damping of Langmuir waves has hydrodynamic origins and could have been theoretically predicted shortly after Jeans' 1902 work, linking plasma physics with gravitational instability concepts.

Contribution

It demonstrates the hydrodynamic roots of Landau damping, suggesting it could have been foreseen earlier in the history of plasma physics.

Findings

Landau damping has hydrodynamic roots.

Potential for earlier prediction of Landau damping.

Connection between plasma waves and gravitational instability.

Abstract

Landau damping of Langmuir waves is shown to have hydrodynamic roots, and, in principle, might have been predicted (along with Langmuir waves) several decades earlier, soon after Jeans (1902) paper appeared.