Abstract

The Langevin equation is derived for a system of interacting molecules by a double Fourier transformation of the Hamiltonian. The transformations are with respect to the molecular equilibrium positions and the deviations, respectively. The potential energy term is then the generator of mode interactions to all orders. For the regime of large anharmonicities part of the “force” is shown to be proportional to the time derivative of the momentum. This leads to the Langevin equation.

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