Transport of nanodimers through chemical microchip*

Shun Zhan,Ru-Fei Cui,Li-Yan Qiao,Jiang-Xing Chen

Figure 2. The dependence of the mean square deviation ΔS and the average angle θx on the migration velocity Vcmx. ΔS is defined by ${\rm{\Delta }}S=\sqrt{\langle {(y(t)-{y}_{S})}^{2}\rangle }$ where y(t) and yS are the y component of the position of dimer sphere and the center position of the strips, respectively. θx is defined by $\langle \theta \rangle =\langle \arccos (\hat{{\boldsymbol{u}}}(t)\cdot \hat{{\boldsymbol{x}}})\rangle $ where $\hat{{\boldsymbol{u}}}$ is the unit vector pointing from the N to C motor spheres and $\hat{{\bf{x}}}$ the unit vector of x. The data is obtained from time and ensemble averages over 20 realizations of the dynamics .