The following is off topic but since the discussion of the Second Law and Entropy was introduced it is worthwhile to add a little light to the subject. In an earlier post I presented three ways that the Second Law could be expressed. The following paragraphs show the equivalence if these three statements.
In so-called Classical Thermodynamics, the Second Law , like the First, is formulated in terms of energy:
“It is in the transformation process that Nature appears to exact a penalty and this is here the second principle makes its appearance. For every naturally occurring transformation of energy is accompanied, somewhere, by a loss in the availability of energy for the future performance of work.” R. B. Lindsay. Entropy Consumption and Values in Physical Science, American Scientist, vol.47 [September 1959]. page 378; as quoted in The Modern Creation Trilogy, page 131, Volume 2.
A second way of stating the Entropy Law is in terms of Statistical Thermodynamics.
“All real processes go with an increase of entropy. The entropy also measures the randomness, or lack of orderliness of the system; the greater the randomness, the greater the entropy.” Harold Blum, Perspectives in Evolution, American Scientist [October 1955] page 595; as quoted in The Modern Creation Trilogy, pages 132, 133, Volume 2.
The equivalence of Entropy in the classical and statistical context is implied in the following:
“Each quantity of energy has a characteristic quality called entropy associated with it. The entropy measures the degree of disorder associated with the energy. Energy must always flow in such a direction that the entropy increases.” Freeman L. Dyson, Energy in the Universe, Scientific American, vol 224 [September 1971], page 52; as quoted in The Modern Creation Trilogy, page 134, Volume 2.
Similarly, the equivalence of these concepts with the information concept is recognized:
“It is certain that the conceptual connection between information and the Second Law of Thermodynamics is now firmly established.” Myron Tribus and Edward C. McIrvine. Energy and Information, Scientific American, vol 224 [September 1971], page 52; as quoted in The Modern Creation Trilogy, page 134, Volume 2.
Isaac Asimov confirms that all these different ways of looking at the Second Law are really equivalent to each other:
“That is one way [that is, decreasing availability of energy] of stating what is called the Second Law of Thermodynamics. It is one of many ways; all of them are equivalent although some very sophisticated mathematics and physics are involved in showing the equivalence.” Asimov, In the Game of Energy and Thermodynamics, page 8; as quoted in The Modern Creation Trilogy, page 135, Volume 2.