Fig. 7: Mean displacement of a particle in an anisotropy gradient.
From: Inertial self-propelled particles in anisotropic environments
a Mean position in the gradient direction, \(\langle {{{{{{{\bf{r}}}}}}}}(t)\cdot \hat{{{{{{{{\bf{s}}}}}}}}}\rangle\) for different reduced growth rates κv/Dr. The upper plane displays simulated data for the gradient direction \(\hat{{{{{{{{\bf{s}}}}}}}}}=\hat{{{{{{{{\bf{x}}}}}}}}}\), while the lower plane shows the data for \(\hat{{{{{{{{\bf{s}}}}}}}}}=\hat{{{{{{{{\bf{y}}}}}}}}}\). b The anisotropy δv(r) of the orientation-dependent motility is plotted as a function of position \({{{{{{{\bf{r}}}}}}}}\cdot \hat{{{{{{{{\bf{s}}}}}}}}}\), using the same reduced growth rates as in (a). The plot is sideways to align with (a).
