Comparison of Extended Irreversible Thermodynamics with thermodynamics based on a distribution containing the first-passage time

V. V. Ryazanov

Published 2022-10-14Version 1

An analogy is drawn between version of non-equilibrium thermodynamics a distribution-based containing an additional thermodynamic first-passage time parameter and Extended Irreversible Thermodynamics with flows as an additional thermodynamic parameter. Thermodynamics containing an additional thermodynamic first-passage time parameter maps to Extended Irreversible Thermodynamics. Various conditions for the dependence of the distribution parameters of the first-passage time on the random value of energy, the first thermodynamic parameter, are considered. It is shown that more meaningful results are recorded when the time parameter relaxation time {\tau} of Extended Irreversible Thermodynamics is replaced by the average first-passage time. Expressions are obtained for the average first-passage time through the flows.