%0 Journal Article
%T An Informational Proof of H-Theorem
%A Vincenzo Manca
%J Open Access Library Journal
%V 4
%N 2
%P 1-15
%@ 2333-9721
%D 2017
%I Open Access Library
%R 10.4236/oalib.1103396
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">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.</span>
</div>
%K Thermodynamic Entropy
%K H-Theorem
%K Information Entropy
%K Entropic Divergence
%U http://www.oalib.com/paper/5282153