Properties of the entropy production due to radiative transfer

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Abstract

The entropy production due to emission and absorption of radiation has been repeatedly considered in investigations of the irreversibility of radiative transfer. These investigations are primarily concerned with the sign of the entropy production. We analyze the general form of the entropy production and discuss the sign of its time derivative. Starting from basic statistical relations, it is shown that the entropy production due to emission, absorption and scattering of radiation is a form bilinear in generalized “thermodynamic fluxes” and “force”. This form exhibits its positive semi-definite character. It further enables us to establish an evolution criterion by proving that a well defined part of the time change of the entropy production is negative semi-definite. The formalism and the results derived are extensions of fundamental relations of the classical theory of irreversible thermodynamics for transport processes in matter.

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