Fig. 1. A sketch of the simulation system.

Fig. 2. The number of the adsorbed segment of the free polymer m_ad as a function of the adsorption energy ε for different d, where N_f = 50 and N_b = 10. The inset presents the dependence of the ratio m_ad/m_ads on ε for different N_f and d.

Fig. 3. The mean square radius of the free polymer as a function of ε, where N_f = 50 and N_b = 10. The inset presents the dependence of the minimum of , , on d.

Fig. 4. The distribution of the segment of the free polymer and the polymer brush, φ_pandφ_b, in the z direction for three different ε, where N_f = 50, N_b = 10 and d = 12.

Fig. 5. The evolution of the mean square displacement of the center of mass of the free polymer (Δr)² for different ε, where N_f = 50, N_b = 10 and d = 10.

Fig. 6. The dependence of β on ε for different d, where N_f = 50 and N_b = 10. The inset presents the dependence of the diffusion coefficient D on N_f at small ε = 1.

Fig. 7. The evolution of the number of the adsorbed segment of the free polymer (m_fa) and that of the number the segment of polymer brush contacting with the free polymer (m_fb), where N_f = 50, N_b = 10, d = 10 and ε = 3. The insets: (a) The evolution of the relaxation function q_fa(t) and q_fb(t); (b) the dependence of the adsorption time τ_fa of the free polymer and the relaxation time of the number of segment of brush contacting with the free polymer τ_fb on the adsorption energy ε, where N_f = 50, N_b = 10 and d = 10.