Abstract
The fundamental intuition that Carnot had in analyzing the operation of steam machines is that something remains constant during the reversible thermodynamic cycle. This invariant quantity was later named “entropy” by Clausius. Jaynes proposed a unitary view of thermodynamics and information theory based on statistical thermodynamics. The unitary vision allows us to analyze the Carnot cycle and to study what happens when the entropy between the beginning and end of the isothermal expansion of the cycle is considered. It is shown that, in connection with a non-zero Kullback–Leibler distance, minor free-energy is available from the cycle. Moreover, the analysis of the adiabatic part of the cycle shows that the internal conversion between energy and work is perturbed by the cost introduced by the code conversion. In summary, the information theoretical tools could help to better understand some details of the cycle and the origin of possible asymmetries.
Highlights
The fundamental intuition that Carnot had in analyzing the operation of steam machines is that something remains constant during the reversible thermodynamic cycle
There is an inevitable difference in detail, because the applications are so different; but we should at least develop a certain area of common language . . . we suggest that one way of doing this is to recognize that the partition function, for many decades the standard avenue through which calculations in statistical mechanics are “channeled”, is fundamental to communication theory”
The reversible Carnot cycle realizes a balance of the entropy by the implementation of a quasi-symmetrical cycle, where the entropies of the two isothermal phases are balanced in value despite the difference in temperature
Summary
Shannon [2], who mentioned in his fundamental work of formulating the 2nd theorem, admitted that: “The form H will be recognized as that of entropy as defined in certain formulation of statistical mechanics” It is Jaynes; that pointed out the close relationship between thermodynamics and information theory [3,4], which shares the concept of “partition function”: “ . Thisinnet is equalpotential to the amount of the the reversible direct heatcase, transfer entropy the system increases by the from the of high-temperature reservoir to quantity: the gas of the piston In correspondence of this change in the Helmholtz potential and for the reversible case, the. The ratio between the final and initial volume experimented by the gas during the phase, even at different temperatures This be relationship was already pointed out by Planck in his reversible isothermal expansion phase must maintained even during the reversible compression treatise [11].
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