Movies for "Trajectory Statistics Govern Mechanical Power Transfer in Active Baths", C.-U. Woo, J. Choi, H. Rieger, arXiv:2609.17047v1, (2026)

Supplemental Movie 1: Spontaneous motion of two-dimensional circular Gaussian probe in ABP bath. The background shows the normalized density field difference $\Delta\rho(\mathbf r,V)/\rho_0=[\rho_{\mathrm{sim}}(\mathbf r,V)-\rho(\mathbf r,0)]/\rho_0$, where $\rho(\mathbf r,0)$ is the stationary reference density calculated for the same probe at ($V=0$). Simulation parameters are $N=5\times10^7$, $\Gamma=2.5$, and $\tilde M=10$.

Supplemental Movie 2: Spontaneous motion of two-dimensional elliptical Gaussian probe in ABP bath. Simulation parameters are $N=10^7$, $\Gamma_g = 1.6$, $\lambda=2$, $a_g=1$, and $\tilde M=10$.

Supplemental Movie 3: Directional selection of two-dimensional fourfold Gaussian probe in ABP bath in probe frame. Initially, the fourfold probe has velocity $v_x(0)=v_y(0) = 0.5$, which is approximately the steady velocity at $\beta=2$. In the time interval $[t_1,t_2]=[10000,20000]$, $\beta$ is changed linearly from $\beta=2$ to $\beta=4$. After this protocol, the velocity relaxes toward the new fixed point~(see Fig. 8). Simulation parameters are $N=10^7$, $\Gamma=6$, $a=1$, and $\tilde M=5$.

Supplemental Movie 4: Emergence of spontaneous motion of two-dimensional fourfold Gaussian probe in ABP bath. The dashed lines are visual guides indicating that the four Gaussian lobes form a single connected probe: they do not contribute to the probe dynamics. Simulation parameters are $N=10^6$, $\Gamma=6$, $\beta=2$, $a=1$, and $\tilde M=10$.

Supplemental Movie 5: Emergence of spontaneous motion of two-dimensional fourfold Gaussian probe in ABP bath. The dashed lines are visual guides indicating that the four Gaussian lobes form a single connected probe: they do not contribute to the probe dynamics. Simulation parameters are $N=10^6$, $\Gamma=6$, $\beta=4$, $a=1$, and $\tilde M=10$.

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