Figure 5.

Stress-velocity relations. Network growth velocity v_p as a function of the applied stress σ_nn in both the link-dominated uncoupled regime (A and B) and the elasticity-dominated coupled regime (C and D). Shadowed areas indicate pulling stresses. (A and B) The link-dominated uncoupled regime, showing the dependence of the stress-velocity relation on the ratio $k_a/k_d^0$ ($k_a/k_d^0=10,1,0.1$; continuous black line, dashed red line, and dashed-dotted blue line, respectively) for small and large loading rates, (A) $k_{\ell }^0/k_d^0=0.1$ and (B) $k_{\ell }^0/k_d^0={10}^2$, respectively. The dots correspond to the critical pulling stress of each curve. (C and D) The elasticity-dominated coupled regime, showing the dependence of the stress-velocity relation on the parameter $Eb/{\rho }_f{k}_{\text{B}}T$ for (C) $k_a/k_d^0=1$($Eb/{\rho }_f{k}_{B}T=0.28,0.028,0.0028$; continuous black line, dashed red line, and dashed-dotted blue line, respectively) and (D) $k_a/k_d^0=10$($Eb/{\rho }_f{k}_{\text{B}}T=1.15,0.115,0.0115$; continuous black line, dashed red line, and dashed-dotted blue line, respectively). The values of the parameters for the stress-velocity relations shown are marked as dots in Fig. 4E. (In color online.)