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
Infinite Harmonic chain with heavy mass
SEGATTI, ANTONIO GIOVANNI
2010-01-01
Abstract
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 particleFile in questo prodotto:
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