https://doi.org/10.1140/epjp/s13360-024-05922-5
Regular Article
Effect of shear flow on Jeans instability of self-gravitating dusty plasmas
Department of Physics, Sri Ramkrishna Sarada Vidya Mahapitha, 712612, Kamarpukur, Hooghly, West Bengal, India
Received:
17
April
2024
Accepted:
11
December
2024
Published online:
26
December
2024
Dusty plasma is one of the key ingredients of the universe. In the present work, the effect of an ambient flow on Jeans instability is investigated using generalized hydrodynamic model in self-gravitating dusty plasmas where dust dominates gravity. Our main objective is to show the influence of equilibrium sheared flow on the longitudinal mode by perturbing a dusty plasma around this flow. It is found that in the hydrodynamic regime (
, where 
is the viscoelastic relaxation time and 
is the typical time scale of the dynamics which we propose in this work), the perturbation, having certain scale length, grows exponentially in the absence of the flow. However, finite velocity shear turns the exponential growth into finite amplitude oscillations. Moreover, viscoelastic coefficients play the role of dissipating agent and can suppress the perturbation completely. In the kinetic regime (
), viscoelastic coefficients play the role of wave source instead of dissipating agent. In this regime also, the ambient shear flow turns the exponentially growing perturbation into small amplitude oscillations similar to the hydrodynamic regime.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
