0 200 400 600 Time (ps) 10 20 30 40 50 x (nm) MD data: dT/dx = 7 K/nm MD data: dT/dx = 17 K/nm Fitting K/nm Fitting 17 K/nm (a) 0 1 2 3 4 Time (ns) -60 -40 -20 0 20 40 60 x (nm) -2 -1 0 1 2 p(t) 1 2 3 (b) FIG. 2: (Color online) (a) Time evolution of the inner tube obtained from MD simulations for thermal gradients of 7 K/nm and 17 K/nm. The fittings using Eq. (1) are also presented. (b) Time evolution of the inner tube center of mass obtained from numerical integration of Eq. (1) for two different situations with dT/dx = 7 K/nm. Curve 1 represents the case where the thermal gradient is “turned on” in the beginning of the process and kept on this state, or equivalently, making p ( t ) = 1. Curve 2 displays the case where a driven periodic pulse p ( t ) with a period of 400 ps (represented by the curve 3) is used. 6