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Correction to Supporting Information for Rascón et al., Geometry-induced capillary emptying

APPLIED PHYSICAL SCIENCES Correction to Supporting Information for “Geometry-induced capillary emptying,” by Carlos Rascón, Andrew O. Parry, and Dirk G. A. L. Aarts, which appeared in issue 45, November 8, 2016, of Proc Natl Acad Sci USA (113:12633–12636; first published October 24, 2016; 10.1073/pnas.1606217113). The authors note that on page 1, right column, the third full paragraph published incorrectly. It originally appeared as: “The above physical argument implies that no solution to Eq. S4 can exist whenever the functional [S7] attains negative values. It is, therefore, a sufficient condition for the nonexistence of solutions. The fact that it is also a necessary condition has been proved recently in the more mathematical context of functions of bounded variation by Obersnel et al. (19).” It should instead have appeared as: “The above physical argument implies that there is no absolute minimum of the functional [S2] when the functional [S7] attains negative values. It is, therefore, a sufficient condition for the non-existence of equilibrium solutions. The fact that it is indeed a necessary and sufficient condition for the non-existence of any solution of Eq. S4 has been proved recently in the more mathematical context of functions of bounded variation by Obersnel et al. (19).” The SI has been corrected online.