H-Theorem and Thermodynamic Efficiency of the Radiation Work Inducing a Chemically Nonequilibrium State of Matter

Abstract

The Sun’s radiation is a source of origin and maintenance of life on Earth. The Sun-Earth system is a thermodynamic machine transforming radiation into useful work of living organisms. Despite the importance of efficiency for such a thermodynamic machine, the analysis of its efficiency coefficient (EC) available in the literature has considerable shortcomings: As is noted by the author of the classical study on this subject (Oxenius in J Quant Spectrosc Radiat Transf 6:65–91, 1996), the second law of thermodynamics is violated for the radiation beam (without direction integration). The typical thermodynamic analysis of the interaction between radiation and matter is performed assuming an equilibrium of the chemical composition thereof as opposed to the radiation work in the biosphere (photosynthesis), which usually occurs under the conditions of a significant deviation of the active substance’s composition from its equilibrium values. The “black box” model (Aoki in J Phys Soc Jpn 52:1075–1078, 1983) is traditionally used to analyze the work efficiency of the Sun-Earth thermodynamic machine. It fails to explain the influence of many internal characteristics of the radiation-matter interaction on the process’s EC. The present paper overcomes the above shortcomings using a relatively simple model of interaction between anisotropic radiation and two-level molecules of a rarefied component in a buffer substance.