Hall coefficient for non-Markoffian carrier motions
- 15 April 1975
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 62 (8) , 3181-3183
- https://doi.org/10.1063/1.430865
Abstract
We first calculate the Ohmic and Hall conductivities at infinite carrier dilution for the case where the charge carrier motion is described by a Gaussian, but not necessarily Markoffian, solvent averaged propagator. We then consider the same calculation when the propagator is given by a hydrodynamical model which generalizes the classical Brownian motion model, and which we show is not Gaussian. In both cases, the Hall coefficient found is unity, the identical value as in the case of classical Brownian motion.Keywords
This publication has 11 references indexed in Scilit:
- Comment on the effect of inertia on Brownian motionThe Journal of Chemical Physics, 1973
- On the theory of Brownian motion. VI. Asymptotic solution of a retarded Fokker-Planck equationThe Journal of Chemical Physics, 1973
- On Hydrodynamic Models for Brownian MotionThe Journal of Chemical Physics, 1972
- Effects of Liquid Structure on dc Transport Coefficients in Brownian‐Like SolutionsThe Journal of Chemical Physics, 1972
- Effect of Inertia on the Brownian Motion of Rigid Particles in a Viscous FluidThe Journal of Chemical Physics, 1972
- On the Calculation of Time Correlation FunctionsAdvances in Chemical Physics, 1970
- Hall coefficient in solution for a simple dynamical modelJournal of Statistical Physics, 1970
- Effects of Details of Dynamics on dc Transport Coefficients in SolutionThe Journal of Chemical Physics, 1969
- Calculation of the Effect of Non-Brownian Motion on Some dc Transport Coefficients in SolutionThe Journal of Chemical Physics, 1968
- Time-Correlation Functions and Transport Coefficients in Statistical MechanicsAnnual Review of Physical Chemistry, 1965