Abstract
In previous work, non-linear phenomenological equations exhibiting reciprocity have been derived as first moments of a kinetic equation obtained from the Liouville equation via Grabert projection operators. In the derivation, a Markovian approximation and Gradtype ansatz based on information theory were used to derive self-consistent first-moment equations. It is possible to generalize the Grabert operators so that the previous derivation, after replacement of the old by the new operators, is free of these approximations.
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Nettleton, R.E., Freidkin, E.S. Corrections for grad and markovian approximations in statistical derivation of nonequilibrium thermodynamics. Acta Physica Hungarica 72, 275–293 (1992). https://doi.org/10.1007/BF03054173
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DOI: https://doi.org/10.1007/BF03054173