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Sharp, K. and Matschinsky, F. (2015) Translation of Ludwig Boltzmann’s Paper “On the Relationship between the Second Fundamental Theorem of the Mechanical Theory of Heat and Probability Calculations Regarding the Conditions for Thermal Equilibrium’’. Entropy, 17, 1971-2009. https://doi.org/10.3390/e17041971

has been cited by the following article:

• TITLE: An Informational Proof of H-Theorem

  AUTHORS: Vincenzo Manca

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

  JOURNAL NAME: Open Access Library Journal, Vol.4 No.2, February 21, 2017

  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.