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. 2015 Nov 2;5:15854. doi: 10.1038/srep15854

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(a) Attraction between isolated SPBs (red line) is weakened by the elastic repulsion (black line) but in soft enough brushes the total potential (green line) is attractive. (b) Due to lateral extension of SPBs in a string, potential felt by an approaching SPB features a barrier and a local minimum like in the DLVO theory. The ratio of deformation energy scale U [equation (7)] and the Hamaker constant was tuned such that the potentials in panels a and b are monotonic and non-monotonic, respectively.