Non-linear reciprocity in extended thermodynamics from the Robertson formalism |
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Authors: | RE Nettleton |
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Institution: | (1) Department of Physics, University of the Witwatersrand, Johannesburg 2050, South Africa, ZA |
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Abstract: | Robertson has found a projection operator which, applied to the Liouville equation, yields an exact equation for , the information-theoretic phase-space distribution. If the Robertson equation is multiplied by a set 0pt]{} of functions representing physical fluxes, odd under momentum reversal and even under configuration inversion, a set of
evolution equations is obtained for time-dependent ensemble averages which are variables of extended thermodynamics. In earlier work, a perturbation calculation was developed, assuming just
one variable , for an operator 0pt] occurring in the Robertson equation. This calculation is extended here to the case where there are variables. The coefficients in the evolution equations depend on {} and explicitly on time t at short times. It is shown here that these coefficients exhibit Onsager symmetry at long times, after the transient explicit
t-dependence has disappeared, to .
Received 13 September 1999 and Received in final form 4 April 2000 |
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Keywords: | PACS 05 70 Ln Nonequilibrium and irreversible thermodynamics - 05 20 Jj Statistical mechanics of classical fluids - 05 60 Cd Classical transport |
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