Effects of Details of Dynamics on dc Transport Coefficients in Solution

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Abstract
We consider, within the framework of Liouville's equation, the calculation of a simple higher‐order transport coefficient, the Hall conductance. We show that this quantity can be resolved into two terms. One is the first moment of the time‐relaxed momentum correlation function of the carrier in the field‐free system while the other, an intrinsically non‐Markoffian contribution, is not simply a functional of this correlation function. The latter term does not appear in earlier work. We show that it vanishes in limiting cases corresponding either to a dilute plasma or the converse extreme corresponding to ions in a dense, strongly interacting solvent.