The itinerant oscillator model II analysis for dielectric relaxation and incoherent neutron scattering from atoms
- 1 August 1979
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 38 (2), 477-488
- https://doi.org/10.1080/00268977900101821
Abstract
A model of brownian motion in a fluid or disordered solid is developed whereby cooperative motions are accounted for in the shell of nearest neighbours of a given molecule. This is mathematically tractable for the angular fluctuations in a plane of a dipole vector embedded in the asymmetric top. The Fokker-Planck-Kramers equations of motion are developed from the initial stochastic differential equations and full solutions derived in terms of multivariate probability density functions. An integro-differential representation of the same system is solved in terms of a generalized Fokker-Planck equation derived by Davies and Evans [24] and valid for a column vector of n linearly independent dynamical variables.Keywords
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