Infinite harmonic chain with heavy mass
Copyright policy )Infinite harmonic chain with heavy mass
Modelling 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.
- University of Pavia Italy
- Weierstrass Institute Germany
- Leibniz Association Germany
- Weierstrass Institute for Applied Analysis and Stochastics Germany
ddc:510, Laplace transform, article, 70F45, 530, macroscopic continuum limit, Harmonic lattice -- atomic chain -- macroscopic continuum limit, 37K60, 510, atomic chain, Lattice dynamic, macroscopic limit, Harmonic lattice, wave equation
ddc:510, Laplace transform, article, 70F45, 530, macroscopic continuum limit, Harmonic lattice -- atomic chain -- macroscopic continuum limit, 37K60, 510, atomic chain, Lattice dynamic, macroscopic limit, Harmonic lattice, wave equation
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