Incollection,

Information theory-based relations between MaxEnt and the expression $dU = TdS + W$

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

We focus attention on the particular thermodynamic relation $dU = T dS + W$. Using from information theory just its first axiom - the information measure depends only on the pertinent probability distribution -, and assuming that the microscopic energy levels depend upon an external parameter $A$, we show that all usual results of statistical mechanics for reversible processes follow straightforwardly, without invoking neither MaxEnt nor Gibbs's ensemble postulates.

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