https://doi.org/10.1140/epjd/s10053-026-01144-9
Research - Plasmas
Phase-mixed upper hybrid modes in inhomogeneous dusty plasmas
1
Department of Physics, Indian Institute of Engineering Science and Technology, 711103, Shibpur, Howrah, India
2
Department of Physics, Jadavpur University, 700032, Kolkata, India
a
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Received:
21
December
2025
Accepted:
4
March
2026
Published online:
25
March
2026
Abstract
Analytical study on the spatiotemporal evolution of electrostatic upper hybrid modes in magnetized electron-ion-dusty plasmas reveals phase-mixing of the modes due to the background dust density inhomogeneity. A linear analysis of the 1D fluid-Maxwell’s equations shows that inhomogeneous dust distribution causes the upper hybrid frequency to acquire space dependency. The Lagrangian fluid formalism provides an exact nonlinear solution to this problem in parametric form. A strained-parameter (Lindstedt-Poincaré) perturbation technique is also employed in order to analyze the time evolution of the modes more explicitly. Our results show that the excited upper hybrid modes get phase-mixed and eventually break at arbitrary amplitudes. The larger proportion of dust particles quickens the phase-mixing process, whereas the process is delayed when applied magnetic field or electron temperature is increased.
Graphical abstract: Dust density inhomogeneity can cause appearance of sharp peaks in the electron density profile. Density of stationary charged dusts is assumed as, 
. Evolution of electron density profile with time is shown after exciting the upper hybrid mode 
.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2026
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.
