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An Informational Proof of H-Theorem

DOI: 10.4236/oalib.1103396, PP. 1-15

Subject Areas: Modern Physics

Keywords: Thermodynamic Entropy, H-Theorem, Information Entropy, Entropic Divergence

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Abstract

After a historical reconstruction of the main Boltzmann’s ideas on mechanical statistics, a discrete version of Boltzmann’s H-theorem is proved, by using basic concepts of information theory. Namely, H-theorem follows from the central limit theorem, acting inside a closed physical system, and from the maximum entropy law for normal probability distributions, which is a consequence of Kullback-Leibler entropic divergence positivity. Finally, the relevance of discreteness and probability, for a deep comprehension of the relationship between physical and informational entropy, is analyzed and discussed in the light of new perspectives emerging in computational genomics.

Cite this paper

Manca, V. (2017). An Informational Proof of H-Theorem. Open Access Library Journal, 4, e3396. doi: http://dx.doi.org/10.4236/oalib.1103396.

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