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Understanding about both the range and the strength of the effective forcebetween two hydrophobic surfaces suspended in water is important in many areasof natural science but unfortunately has remained imperfect. Even theexperimental observations have not been explained quantitatively. Here we findby varying distance (d) between two hydrophobic walls in computer simulationsof water that the force exhibits a bi-exponential distance dependence. The longrange part of the force can be fitted to an exponential force law withcorrelation length of 2 nm while the short range part displays a correlationlength of only 0.5 nm. The crossover from shorter range to longer range forcelaw is rather sharp. We show that the distance dependence of the tetrahedralityorder parameter provides a reliable marker of the force law, and exhibitssimilar distance dependence.

Crossover behavior in the distance dependence of hydrophobic force law