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In this paper, with two-dimensional (2-D) hybrid simulations, we study thegeneration mechanism of filamentary structures downstream of a quasi-parallelshock. The results show that in the downstream both the amplitude of magneticfield and number density exhibit obvious filamentary structures, and themagnetic field and number density are anticorrelated. Detailed analysis findthat these downstream compressive waves propagate almost perpendicular to themagnetic field, and the dominant wave number is around the inverse of ionkinetic scale. Their parallel and perpendicular components roughlysatisfies(where and represent the parallel and in-plane perpendicularcomponents of magnetic field, is the wave number in the perpendiculardirection, and in the ion gyroradius), and their Alfven ratio also roughlyagree with the analytical relation (where and indicate the Alfven ratio andplasma beta), while the corresponding cross helicity and compressibility showgood agreement with previous theoretical calculations. All these properties areconsistent with those of kinetic slow waves (KSWs). Therefore, we conclude thatthe filamentary structures in the downstream of a quasi-parallel shock areproduced due to the excitation of KSWs.

Two-dimensional hybrid simulations of filamentary structures and kinetic slow waves downstream of a quasi-parallel shock