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Bremsstrahlung recoil force on second-order dynamic polarization charge of a relativistic test particle in a nonequilibrium beam-plasma system

The recoil force on the second-order dynamic polarization charge of a relativistic test particle participating in collective bremsstrahlung in a nonequilibrium beam-plasma system is calculated. Contributions arise both from terms involving direct interaction of the field of the test particle in second order with its own induced dynamic polarization, and from interaction of the field scattered by the dynamic polarization with the dynamic polarization itself.