1
$\begingroup$

What is the connectivity between Boltzmann's entropy expression and Shannon's entropy expression? mentions a realtionship between Shannon entropy and Bolltzmann entropy. Is there a relationship between Kolmogorov Sinai entropy and Boltzmann entropy? And kolmogorov entropy and Shannon entropy?

$\endgroup$
1
$\begingroup$

This is a contentious question depending on the researcher answering and their background. Much of the available literature on the subject(s) will say that although the forms of these equations are similar, there is no relation between Shannon and Boltzman entropy. The best treatment I've seen stems from E.T. Jaynes' classical paper on the subject and is presented by Arieh Ben-Naim in his book Farewell to Entropy.

$\endgroup$
  • $\begingroup$ I have come across the paper : Journal Article 2005 1424-9286 J Milan Journal of Mathematics 73 1 "Some Remarks on the Definition of Boltzmann, Shannon and Kolmogorov Entropy" Birkhäuser-Verlag 2005-10-01 by Benci, Vieri, A Menconi, Giulia pages 187-209 where they mention that the entropies can be represented by Boltzmann entropy. However, it is difficult to follow and as you mentioned there are contradictions and the topic is debatable. So what is the real answer/ $\endgroup$ – Srishti M Feb 28 '14 at 19:22
  • $\begingroup$ "there is no relation between Shannon and Boltzman entropy", didn't you mean between Boltzman entropy and Kolmogrov entropy ? $\endgroup$ – loxaxs Apr 7 '18 at 5:55

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.