Radiation and the violation of bilinearity in the thermodynamics of irreversible processes

Computer Science

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Entropy, Irreversible Processes, Linearity, Nonequilibrium Thermodynamics, Radiative Transfer, Black Body Radiation, Stellar Radiation

Scientific paper

The theory of irreversible thermodynamics has not taken nonequilibrium radiation processes into account. When the simple bilinear entropy production rate of irreversible thermodynamics is modified to account for entropy production due to radiation while preserving the local equilibrium for matter, it is noted that the simple bilinear form of that rate, on which the current theory depends, is lost. Generalized definitions of fluxes and forces cannot, even with substantial compromises, restore the simple homogeneous bilinear form or generate even a generalized entropy production rate bilinearity for some of the problems involving radiation. The possibility of a broader nonequilibrium theory is suggested by radiation problems where those generalizations fail and the entropy production rate is a minimum in the steady state.

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