ISSN (Online): 3108-1584
Volume 2, Issue 1 - July 2026
In this study, the determination of growth rates on collisional dust-ion acoustic instability in un-magnetized plasmas in the presence of applied zero-order electric field E_0 was examined. Using the continuity and momentum equations, supplemented by the charge neutrality condition, the dispersion relation was obtained for the plasma species. Our analyses revealed that for the dust-ion acoustic instability, when the inertia terms are neglected δ_i 〖=δ〗_e^+=δ_(e^- )=0 and when the inertia terms are included δ_i 〖=δ〗_e^+=δ_(e^- )=1 with increased zero-order electric field〖 E〗_0, the instability characteristics in the plasmas was significantly altered, which led to modified growth rates in the dust-ion acoustic wave modes. Findings obtained when the inertia terms are neglected at low energy (≃0.6eV) and at high energy (≃1.8eV) with positron-neutral cross sections σ_e^+ taken as 〖0.2×10〗^(-20) m^2and 〖0.06×10〗^(-20) m^2respectively, showed no variation with increased electric field〖 E〗_0, with growth rates (γ<0) of about 〖-2.2 ×10〗^4 s^(-1). The inclusion of the inertia terms showed remarkable growth rates differences of order of magnitude 〖10〗^(-2) s^(-1)at high energy lower than that at low energy with damping growth rates, as the electric field is increased. The inertia terms inclusion is seen to affect the ion-positron collision frequency, which modifies the instability characteristics of the dust-ion acoustic waves. These significant differences in growth rates provide valuable inputs on complexity of plasmas involving inertia and electric field to stability of dusty plasmas.
dust-ion, instability, growth rates, inertia
Umo, Emem E. A., Akpabio, Louis E., Antia, Akaninyene D., "Determination of Growth Rates on Collisional Dust-Ion Acoustic Instability in Unmagnetized Dusty Plasmas", Cosmo Research & Science International Journal, vol. Jul-25, no. 1, pp. 165-177, 2026.
Umo, Emem E. A., Akpabio, Louis E., Antia, Akaninyene D. (2026). Determination of Growth Rates on Collisional Dust-Ion Acoustic Instability in Unmagnetized Dusty Plasmas. Cosmo Research & Science International Journal, Jul-25(1), 165-177.
Umo, Emem E. A., Akpabio, Louis E., Antia, Akaninyene D.. "Determination of Growth Rates on Collisional Dust-Ion Acoustic Instability in Unmagnetized Dusty Plasmas." Cosmo Research & Science International Journal, vol. Jul-25, no. 1, 2026, pp. 165-177.
@article{CRSIJ26000239,
author = {Umo, Emem E. A., Akpabio, Louis E., Antia, Akaninyene D.},
title = {Determination of Growth Rates on Collisional Dust-Ion Acoustic Instability in Unmagnetized Dusty Plasmas},
journal = {Cosmo Research and Science International Journal},
year = {2025},
volume = {2},
number = {1},
pages = {165-177},
issn = {3108-1584},
url = {https://cosmorsij.com/published/CRSIJ26000239.pdf},
abstract = {In this study, the determination of growth rates on collisional dust-ion acoustic instability in un-magnetized plasmas in the presence of applied zero-order electric field E_0 was examined. Using the continuity and momentum equations, supplemented by the charge neutrality condition, the dispersion relation was obtained for the plasma species. Our analyses revealed that for the dust-ion acoustic instability, when the inertia terms are neglected δ_i 〖=δ〗_e^+=δ_(e^- )=0 and when the inertia terms are included δ_i 〖=δ〗_e^+=δ_(e^- )=1 with increased zero-order electric field〖 E〗_0, the instability characteristics in the plasmas was significantly altered, which led to modified growth rates in the dust-ion acoustic wave modes. Findings obtained when the inertia terms are neglected at low energy (≃0.6eV) and at high energy (≃1.8eV) with positron-neutral cross sections σ_e^+ taken as 〖0.2×10〗^(-20) m^2and 〖0.06×10〗^(-20) m^2respectively, showed no variation with increased electric field〖 E〗_0, with growth rates (γ<0) of about 〖-2.2 ×10〗^4 s^(-1). The inclusion of the inertia terms showed remarkable growth rates differences of order of magnitude 〖10〗^(-2) s^(-1)at high energy lower than that at low energy with damping growth rates, as the electric field is increased. The inertia terms inclusion is seen to affect the ion-positron collision frequency, which modifies the instability characteristics of the dust-ion acoustic waves. These significant differences in growth rates provide valuable inputs on complexity of plasmas involving inertia and electric field to stability of dusty plasmas.},
keywords = {dust-ion, instability, growth rates, inertia},
month = {July}
}