Figure 2.

Normalized stretching coefficient (Lagrangian multiplier) $\mu =2\lambda /3p$ as a function of the Péclet number for the polymer bending stiffnesses $pL={10}^3$, ${10}^2$, 10, 1, ${10}^{-1}$ and ${10}^{-2}$ (bottom to top). For the other parameters, we set $N=L/l={10}^3$ and $\Delta =1/3$. The dashed line for $pL={10}^3$ represents the solution of the asymptotic Equation (31). The straight lines indicate the power-law dependencies $\mu \sim P{e}^2$ for $pL<{10}^{-1}$ and $Pe<1$, and $\mu \sim P{e}^{4/3}$ (cf. Equation (32)), respectively.