“…In the case of single species plasma, the reflected ion velocities are v i1 ¼ 0:0295 [25] for m i1 ¼ 1836 and v i1 ¼ 0:0094 for m i1 ¼ 18 360, respectively, from the simulations (see Fig. 4), where the velocity is normalized by c. They both agree well with the analytical results v i ¼ 2u s according to the simple model [5,25,32], which is often used to evaluate the shock velocity, or the recessing surface velocity of the single species plasmas as u s $ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ffi a 2 =ðm i n i Þ p , where n i is the ion density. The simulation results in the case of the proton-dominated plasmas with n i1 ¼ 8, n i2 ¼ 2, i.e., the density ratio n i1 =n i2 ¼ 4 at two instants are shown in Fig.…”