Influence of Boundary Conditions on the Thermomagnetic Torque

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Abstract
A moment method for solving the Boltzmann equation for a gas of diatomic molecules in an external magnetic field and in cylindrical geometry is presented. It is found that the particular geometry is very important at all pressures while the specific form of the boundary conditions becomes dominant at low pressures. In the continuum region, the torque has the same features as a Burnett effect in being inversely proportional to the pressure while at lower pressures the Knudsen effect on the temperature distribution becomes the major contribution to the pressure dependence. In this case, an ansatz for a two-sided distribution function is used in solving the heat flow and temperature distribution. A comparison is made with experimental results and other theoretical investigations.