Numerical analyses of bubble propulsion of the propeller-shaped micromotors with double catalytic sites. (a–e) Calculated trajectories of the micromotor in each condition of Σ = (side1,arc1,side2,arc2). Red lines/curves: the sides and the arcs that generate a pushing force with large fluctuation. Blue lines/curves: the sides and the arcs that generate a pushing force with small fluctuation. Σ = (1, 1, 1, 1) (symmetric) (a); Σ = (1, 10, 1, 1) (asymmetric) (b); Σ = (10, 1, 1, 1) (asymmetric) (c); Σ = (1, 10, 1, 10) (symmetric) (d); Σ = (10, 1, 10, 1) (symmetric) (e); Cyan arrow: t = 0 s; magenta arrow: t = 100 s; (f) The time variation of |r(t)|. Black line: For trajectory of (a); blue line: For trajectory of (b); purple line: For trajectory of (c); green line: For trajectory of (d); orange line: For trajectory of (e); (g) The time variation of . The notation of each line is same as (f); (h) The time variation of mean square displacement (MSD) . The notation of each line is same as (f).