Coarse-grained multibody interactions in colloids*

Coarse-graining colloidal interactions usually assumes that multi-body effects can be
neglected. However, recent research demonstrate that multibody effects in polymer
coated particles are significant and can induce changes in expected crystal lattices.
Herein, we revisit a very recent paper that we published on anisotropic potentials
calculated by spatial series of density fields around colloids. We show that this
method can be extended to perform time evolution of the density field in a fashion
akin to Carr-Parinello molecular dynamics. Inclusion of a non-zero temperature
induces fluctuations. For isolated colloids, these fluctuations correspond to collective
normal modes.