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Finite difference time domain (FDTD) simulations are applied to study the amplification and decay of nonlinear whistler waves in pulsar wind nebulae. The considered plasma system comprises of streaming, hot positrons and electrons. The main emphasis is on the feedback process between particle beams and excited nonlinear waves. It is found that accelerated and parallel streaming electrons and positrons led to whistler wave amplification. Contrarily, the counter streaming electrons and positrons resulted in diverse and complex phenomena. Whistler waves at smaller propagation angles led to pitch angle decay for positrons and vice versa. It is noticed that pitch angles increased with increase of both plasma concentration and ambient magnetic field strength. Our results may be important for comprehensive understanding of nonlinear turbulence in pulsar wind nebulae.

Nonlinear whistler wave turbulence in pulsar wind nebula: FDTD simulations