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We utilize molecular dynamics simulations (MD) and the path-integration program ZENO to quantify hydrodynamic radius ( R  h ) fluctuations of spherical symmetric gold nanoparticles (NPs) decorated with single-stranded DNA chains (ssDNA). These results are relevant to understanding fluctuation-induced interactions among these NPs and macromolecules such as proteins. In particular, we explore the effect of varying the ssDNA-grafted NPs structural parameters, such as the chain length ( L ), chain persistence length ( l  p ), NP core size ( R ), and the number of chains ( N ) attached to the nanoparticle core. We determine R  h fluctuations by calculating its standard deviation ( σ R    h  ) of an ensemble of ssDNA-grafted NPs configurations generated by MD. For the parameter space explored in this manuscript, σ R    h  shows a peak value as a function of N , the amplitude of which depends on L , l  p and R , while the broadness depends on R .

Hydrodynamic radius fluctuations in model DNA–grafted nanoparticles