APPLIED PHYSICAL SCIENCES Correction for “Self-sustained lift and low friction via soft lubrication,” by Baudouin Saintyves, Theo Jules, Thomas Salez, and L. Mahadevan, which appeared in issue 21, May 24, 2016, of Proc Natl Acad Sci USA (113:5847–5849; first published May 9, 2016; 10.1073/pnas.1525462113).
The authors note that Fig. 2 and its corresponding legend appeared incorrectly. The corrected figure and its corrected legend appear below. This error does not affect the conclusions of the article. The authors thank Martin Essink, Anupam Pandey, and Jacco Snoeijer for a careful reanalysis of the data that led to the authors' noticing this typographical mistake, and for discussions.
Fig. 2.
Sliding speed as a function of time and shear modulus of the substrate. (A) Sliding speed V of an aluminum cylinder as a function of normalized time T = tV∞/d, for different thicknesses h of the soft coating. Here, V∞ is the time-averaged steady-state sliding speed, d is the total length of the substrate, and t is the time. The vertical axis is normalized by V∞ (for h = 2.0 mm). The dotted line corresponds to the case of a bare glass substrate, whereas the solid lines are for coatings with an elastic layer of shear modulus G = 31 kPa. The other experimental parameters are ρ = 2,720 kg/m3, R = 12.7 mm, η = 1 Pa⋅s, and α = 11°. (B) Time-averaged steady-state sliding speed for three different cylinders as a function of the shear modulus of the coating, with thickness h = 600 μm, oil bath viscosity η = 1 Pa⋅s, and angle α = 11°. The vertical axis is normalized by the maximum steady-state sliding speed Vmax for the corresponding cylinder. The horizontal axis is normalized by the maximum of the tested moduli Gmax = 300 kPa. The solid line has a slope of −1/5 (Eq. 1). The other parameters are as follows. Cylinder 1 (aluminum): ρ = 2,720 kg/m3, R = 12.7 mm; cylinder 2 (glass): ρ = 2240 kg/m3, R = 9.5 mm; cylinder 3 (brass): ρ = 8,510 kg/m3, R = 6.35 mm.