Figure 3

Landau damping effects in the order parameter R(t) with uniform, Gaussian and triangle FDs.

Horizontal lines are time, solid lines refer to the direct numerical solutions of Eq. (1) with κ = 1.0 and dashed lines are the fitted straight lines with slope k. Note that (a–c) are semi-log plots, while (d) is double-log. To effectively suppress the fluctuation of the order parameter, the number of oscillator N = 25600000. The formulae and parameters for the three FDs are as follows. Uniform: g(ω) = 1 for |ω − Δ| < 0.5 and 0 otherwise. Δ = 0.1. Gaussian: with Δ = 0.1 and γ = 0.5. Triangle: g(ω) = (γ − |ω − Δ|)/γ² for |ω − Δ| < γ and 0 otherwise. Δ = 0.1 and γ = 0.5.