Cartesian Tensor Perturbation Scheme for the Senftleben Effect

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Abstract
A perturbation expansion scheme using a Cartesian tensor expansion is developed for computing transport coefficients of diatomic gases in a static magnetic field. The collision operator is uniquely separated into an unperturbed part plus a “nonspherical” perturbation. Special attention is given to the saturation limit. Using a truncated expansion set, explicit expressions for the thermal conductivity and viscosity are obtained to second order in the “nonsphericity.” These solutions in the second‐order approximation are identical with the approximate solutions of Levi and McCourt. Also, the fourth‐order contributions from terms odd in the angular momentum are given in the saturation limit, since for certain molecular models the second‐order contributions are zero.