Abstract
In the context of the continuous-thermodynamic approach we generalize the Gibbs equation and obtain the initial relations of local-gradient mechanicothermodiffusion. We state the relation between the thermodynamic flows and forces in the form of functionals. We find influence functions that cause expansion of the phase space that determines the thermodynamic potentials by the gradients of the intensive parameters of the equilibrium state of the system. It is shown that such influence functions are connected with the undamped memory of the body of the action at the initial time.
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Translated fromMatematychni Metody ta Fizyko-Mekhanichni, Polya, Vol. 41, No. 1, 1998, pp. 62–72.
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Burak, Y.I., Nahirnyi, T.S. & Chaplya, E.Y. On the thermodynamic foundations of the theory of local-gradient mechanicothermodiffusion systems. J Math Sci 97, 3817–3825 (1999). https://doi.org/10.1007/BF02364920
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DOI: https://doi.org/10.1007/BF02364920