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    Nonlinear sensitivity and kinetic breakdown of dust-acoustic rogue waves in binary dusty plasmas

    Fei-Yun Ding1,*, Fei-Fei Li2, Juan-Fang Han1, and Wen-Shan Duan1,†

    • *Contact author: dingfy2023@163.com
    • †Contact author: duanws@nwnu.edu.cn

    Phys. Rev. E 114, 035204 – Published 4 September, 2026

    DOI: https://doi.org/10.1103/gv8m-79lb

    Abstract

    We investigate dust-acoustic rogue waves in a one-dimensional binary dusty plasma using analytical nonlinear Schrödinger equation theory and fully kinetic particle-in-cell simulations. Modulational instability initially drives nonlinear focusing and rogue-wave formation, consistent with fluid predictions. However, after the rogue-wave peak, the coherent structure collapses irreversibly due to kinetic effects instead of exhibiting periodic recurrence. The breakdown is caused by asymmetric kinetic heating between the two dust species. The lighter dust grains, owing to their lower inertia, absorb most of the wave energy through strong wave-particle interactions and develop non-Maxwellian energetic tails, while the heavy dust experiences only weak heating. In addition, the rogue-wave excitation time is highly sensitive to small changes in the imposed perturbation amplitude. These results demonstrate the kinetic and irreversible nature of rogue waves in realistic binary dusty plasmas.

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