Symmetry and entropy

Dear all FISers,

There is no doubt that symmetry is related to entropy. Pedro
(marijuan@posta.unizar.es) kindly introduced to me Michael Leyton's
work where we can read that the symmetry-increasing processes are also
entropy increase processes in thermodynamics. I just read Leyton's new book
A Generative Theory of Shape (Springer Verlag) and found this on
page 40, see http://link.springer.de/link/service/series/0558/tocs/t2145.htm.
Of course the same was hinted in Rosen's book
(see http://www.mdpi.org/entropy/htm/e1030053.htm).
Curie-Rosen symmetry principle (a higher symmetry- higher stability
relation) should be paid great attention (Rosen attributed this to Curie.
However, Rosen substentially developped it and tried to prove it.
I also tried to prove it by lnW>=SUMPilnPi, i.e., the uniform (symmetric)
probability distribution gives the highest value of entropy.

Merry Christmas and Happy New Year!

Shu-Kun

--
Dr. Shu-Kun Lin
Molecular Diversity Preservation International (MDPI)
Matthaeusstrasse 11, CH-4057 Basel, Switzerland
Tel. +41 79 322 3379
Fax +41 61 302 8918
E-mail: lin@mdpi.org
http://www.mdpi.org/lin/