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Landau damping of dust-acoustic solitons in a positively charged dust plasma in the presence of generalized polarization force: Effects of nonthermal electrons

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  • Barman, Arnab

Abstract

The Landau damping effects on the propagation of dust-acoustic solitary waves (DASWs) are studied in an unmagnetized collisionless plasma system composed of nonthermal Cairns distributed electrons, Maxwellian ions, and positively charged dust grains in the presence of generalized polarization force. The multi-scale reductive perturbation technique is employed in a set of Vlasov equations for electrons, ions, and positively charged dusts coupled to the Poisson equation to derive a modified Korteweg–de Vries (KdV) equation which governs the evolution of DASWs with the effects of wave-particle resonance. A generalized expression for the polarization force is derived to include the effects of polarization force into the system. It is shown that the coefficients of the KdV equation, including the nonlocal integral term, which appears due to the presence of resonant particles, are significantly modified by the generalized polarization force and nonthermal electrons. The effects of the polarization force (∝R), the nonthermal electrons (∝α), the number of charges on the positively charged dust grain surface zd, the ratios of ions to electrons (positively charged dusts) temperatures σi (σd), and electrons (ions) to positively charged dusts densities μe (μi) are examined on the phase velocity, the solitary wave amplitudes (in the presence and absence of Landau damping) as well as on the Landau damping rate of DASWs are studied. It is found that the Landau damping rate and the decay rate of the solitary wave amplitude are faster the larger is the number of nonthermal electrons (∝α) in positively charged dust plasmas, in fact, a rapid damping is also seen to occur with a value of α and remains constant after α≳0.2. The results may be useful for understanding the localization of solitary pulses and associated resonance damping of the wave propagating in the mesosphere region.

Suggested Citation

  • Barman, Arnab, 2026. "Landau damping of dust-acoustic solitons in a positively charged dust plasma in the presence of generalized polarization force: Effects of nonthermal electrons," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
    • Handle: RePEc:eee:chsofr:v:204:y:2026:i:c:s0960077925017990
    DOI: 10.1016/j.chaos.2025.117785
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