In this paper, we study the excitation of Gould–Trivelpiece (TG) waves by streaming ions in dusty plasma and derive the dispersion relation of the excited waves using first-order perturbation theory. The motion of charged particles is controlled by electromagnetic fields in plasma. The energy transfer processes which occur in this collisionless plasma are believed to be based on wave–particle interactions. We have found that the TG waves may be generated in a streaming ion plasma via Cerenkov interaction, and the ions may be accelerated by TG waves via cyclotron interaction, which enable energy and momentum transfer. The variation in the growth rate of TG wave with dust grain size and relative density of negatively charged dust grains is also studied. The dust can cause an unstable TG mode to be stable in Doppler resonance, and can induce an instability in Cerenkov interaction.

中文翻译：

---

通过在尘土等离子体中流动粒子来激发Gould-Trivelpiece模式

在本文中，我们研究了在尘土等离子体中流动离子对Gould-Trivelpiece（TG）波的激发，并利用一阶扰动理论推导了激发波的色散关系。带电粒子的运动由等离子体中的电磁场控制。据信在这种无碰撞等离子体中发生的能量转移过程是基于波粒相互作用的。我们已经发现，TG波可能通过Cerenkov相互作用在流态离子等离子体中生成，而离子可能通过回旋加速器相互作用的TG波而加速，从而实现了能量和动量的传递。还研究了TG波的生长速率随粉尘粒径和带负电粉尘颗粒相对密度的变化。灰尘会导致不稳定的TG模式在多普勒共振中保持稳定，