Figure 1

Cartoons of motor-induced filament interactions, viewed from the rest frame of filament 2. The angular bracket connecting each pair of filaments represents the motor. (a) An interaction that results in aligned filaments. It can be thought of as a translation at rate $\alpha$ along the direction of the relative filament separation, $\mathit{\xi }$, followed by a counterclockwise rotation of filament 1 about its center of mass at a rate $\gamma$. (b) An interaction that results in antialigned filaments. It can be thought of as a clockwise rotation of filament 1 at a rate $\gamma$, followed by a translation along the direction of ${\widehat{\mathbf{n}}}_2-{\widehat{\mathbf{n}}}_1$ at a rate $\beta$.Reuse & Permissions

Figure 2

Phase diagram for $\beta =0.4$. For ${\tilde{\rho }}_0<{\rho }_c\approx 0.826$ and ${\alpha }_{\rho }<\tilde{\alpha }<{\alpha }_s$ density fluctuations grow on all scales, while orientational fluctuations are stable (“bundled” state). For ${\tilde{\rho }}_0<{\rho }_c$ and ${\alpha }_s<\tilde{\alpha }<{\alpha }_{\rho }$ short scale orientational fluctuations are unstable, while density fluctuations remains stable (“oriented” state). All modes are unstable for $\tilde{\alpha }>\max ({\alpha }_{\rho },{\alpha }_s)$. The insets show the modes for (a) $\tilde{\alpha }=2.95$, ${\tilde{\rho }}_0=1.2$ and (b) $\tilde{\alpha }=2$, ${\tilde{\rho }}_0=2$.Reuse & Permissions