It is shown that there are differential equations of diffusion or wave type, which exhibit time symmetry and hence can be used for description of the irreversible evolution of entropy. It is found that the solution to the “entropy equation” is monotone increasing, and the Bekenstein–Hawking and Boltzmann entropy or relativistic-plasma entropy can be its horizontal asymptotics.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 75–80, June, 2012.
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Lasukov, V.V. Time diffusion of entropy. Russ Phys J 55, 678–684 (2012). https://doi.org/10.1007/s11182-012-9866-6
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DOI: https://doi.org/10.1007/s11182-012-9866-6