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- ItemInfinite harmonic chain with heavy mass(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008) Herrmann, Michael; Segatti, AntonioModelling a crystal with impurities we study an atomic chain of point masses with linear nearest neighbour interactions. We assume that the masses of the particles are normalised to $1$, except for one heavy particle which has mass $M$. We investigate the macroscopic behaviour of such a system when $M$ is large, and time and space are scaled accordingly. As main result we derive a PDE for the light particles that is coupled with an ODE for the heavy particle.