Abstract
The equations of dissipative particle dynamics for a linear harmonic chain are deduced from first principles. From the original chain, a coarse-grained chain is constructed by grouping the particles in clusters; the equations of motion for the position and momenta of these clusters are derived. The clusters interact with their neighbors with elastic springs and Brownian dashpots. We provide explicit expressions for the renormalized elastic constant, the © 1996 The American Physical Society.