Effective non-additive pair potential for lock-and-key interacting particles: the role of the limited valence

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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4 pages, 5 figures

Scientific paper

10.1103/PhysRevE.76.011402

Theoretical studies of self-assembly processes and condensed phases in colloidal systems are often based on effective inter-particle potentials. Here we show that developing an effective potential for particles interacting with a limited number of ``lock-and-key'' selective bonds (due to the specificity of bio-molecular interactions) requires -- beside the non-sphericity of the potential -- a (many body) constraint that prevent multiple bonding on the same site. We show the importance of retaining both valence and bond-selectivity by developing, as a case study, a simple effective potential describing the interaction between colloidal particles coated by four single-strand DNA chains.

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