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On the problem of the minimum entropy production in the nonequilibrium stationary state

“…) which coincides with (3.17) in the adopted approximation. The obtained results generally support the conclusions under p 3.1 (see also [12][13][14][15]). A question arises as to the existence of the inverse statement 8 , that is, if the stationary field of temperatures provides, at least roughly, the minimum entropy production.…”

“…In the second case, which is most significant for practical applications, this can be done only roughly on the assumption of a low temperature gradient at the rod ends. The inverse statement is incorrect 14 : in the stationary state the entropy production may be either minimum or maximum as compared to the entropy production calculated for other physically possible distributions of the temperature over the rod.…”

“…Considering the recent interest aroused in the applicability of the minimum principle at the power dependence of the thermal conductivity coefficient on the temperature [14,15], we shall assume…”

“…The great interest attached to the principle can be explained by the apparent intuitive simplicity and universality of the proposed statement. This factor just led (and still leads) to numerous misbelieves on this theorem (see, for example, [11][12][13][14][15][16][17]20]). As a result, two essentially extreme opinions have been formed in the literature.…”

“…As a result, some researchers thought the Prigogine integral principle holds for λ ∼ T −2[14,15], while others referred it to the case of λ ∼ const[12,13].…”