title: Formal derivation of dissipative particle dynamics from first principles.
abstract: We show that the Markovian approximation assumed in current particle-based coarse-grained techniques, like dissipative particle dynamics, is unreliable in situations in which sound plays an important role. As an example we solve analytically and numerically the dynamics of coarse-grained harmonic systems by using first principle methods, showing the presence of long-lived memory kernels. This effect raises questions about the connection of these approaches at their current form to molecular dynamics.
authors.affiliation: Department of Chemistry, South Kensington Campus, Imperial College London, London SW7 2AZ, United Kingdom.
authors.forename: David
authors.initials: D
authors.lastname: Cubero
authors.forename: Sophia N
authors.initials: SN
authors.lastname: Yaliraki