https://doi.org/10.1007/s100510070122
Non-linear reciprocity in extended thermodynamics from the Robertson formalism
Department of Physics, University of the Witwatersrand, Johannesburg 2050, South Africa
Received:
13
September
1999
Revised:
4
April
2000
Published online: 15 October 2000
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 {
} 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 η, for an operator 
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 
.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 05.20.Jj – Statistical mechanics of classical fluids / 05.60.Cd – Classical transport
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
