Abstract
Information theory was first introduced in statistical mechanics by Jaynes in 1957 [7.1] and from then on has found many applications [7.2 7.3 7.4 7.5]. Here we discuss the main basic points underlying the theory and apply them to the analysis of the foundations of extended irreversible thermodynamics (EFT). There is a strong analogy between EIT and some formulations of information theory because information is measured by means of a generalised entropy depending on the various (equilibrium and non-equilibrium) constraints acting on the system. Moreover, information theory is not limited to the quadratic order of approximation and opens therefore an avenue to highly non-linear descriptions.
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Jou, D., Casas-Vázquez, J., Lebon, G. (2001). Information Theory. In: Extended Irreversible Thermodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56565-6_7
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DOI: https://doi.org/10.1007/978-3-642-56565-6_7
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