Constraints of Compound Systems: Prerequisites for Thermodynamic Modeling Based on Shannon Entropy

Entropy

Martin Pfleger¹  Thomas Wallek² 

[1] id="af1-entropy-16-02990">Institute of Chemical Engineering and Environmental Technology, Graz University of Technology, NAWI Graz, Inffeldgasse 25/C/I, 8010 Graz, Austria

关键词: Shannon entropy;    constrained extremalization;    compound systems;    additivity;    thermodynamic modeling;    discrete states;    discrete modeling;   

DOI  :  10.3390/e16062990

来源: mdpi

【 摘 要 】

Thermodynamic modeling of extensive systems usually implicitly assumes the additivity of entropy. Furthermore, if this modeling is based on the concept of Shannon entropy, additivity of the latter function must also be guaranteed. In this case, the constituents of a thermodynamic system are treated as subsystems of a compound system, and the Shannon entropy of the compound system must be subjected to constrained maximization. The scope of this paper is to clarify prerequisites for applying the concept of Shannon entropy and the maximum entropy principle to thermodynamic modeling of extensive systems. This is accomplished by investigating how the constraints of the compound system have to depend on mean values of the subsystems in order to ensure additivity. Two examples illustrate the basic ideas behind this approach, comprising the ideal gas model and condensed phase lattice systems as limiting cases of fluid phases. The paper is the first step towards developing a new approach for modeling interacting systems using the concept of Shannon entropy.

【 授权许可】

CC BY   
© 2014 by the authors; licensee MDPI, Basel, Switzerland