By Arieh Ben-Naim
The central message of this publication is that thermodynamics and statistical mechanics will take advantage of exchanging the unlucky, deceptive and mysterious time period "entropy" with a extra primary, significant and applicable time period akin to info, lacking details or uncertainty. This alternative could facilitate the translation of the "driving strength" of many techniques by way of informational alterations and dispel the secret that has consistently enshrouded entropy.
it's been one hundred forty years for the reason that Clausius coined the time period "entropy"; nearly 50 years on account that Shannon built the mathematical conception of "information" -- thus renamed "entropy". during this publication, the writer advocates changing "entropy" via "information", a time period that has turn into conventional in lots of branches of technological know-how.
the writer additionally takes a brand new and ambitious method of thermodynamics and statistical mechanics. info is used not just as a device for predicting distributions yet because the basic cornerstone suggestion of thermodynamics, held before through the time period "entropy".
the themes coated contain the basics of chance and knowledge idea; the overall proposal of data in addition to the actual inspiration of data as utilized in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an excellent fuel from in simple terms informational arguments; the elemental formalism of statistical mechanics; and plenty of examples of easy tactics the "driving strength" for that's analyzed by way of details.
Readership: an individual attracted to the sciences, scholars, researchers; in addition to the layman.
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Additional info for A Farewell To Entropy
Can you tell which of the three systems is the more ordered? Well, one can argue that the system on the left, where the N atoms are gathered in one half of the volume, is more ordered than N atoms spread in the entire volume. 4). In the left system, we have NA blue, and NB red particles. 3. 6 II 2 V, N 2 V, N Three stages in the process of an expanding ideal gas. 3, as the author did. 4. Mixing of two diﬀerent gases. mixed up in the same volume V . Now, which is more ordered? In my view, the left side is more ordered — all the blues and all the reds are separated in diﬀerent boxes.
James Clerk Maxwell published the dynamical theory of gases in 1860. This was extended by Ludwig Boltzmann in 1867. These works established both the existence and the form of the equilibrium velocity distribution of the molecules in the gas, known today as the Maxwell–Boltzmann distribution. This distribution established the connection between the average kinetic energy of the molecules with the absolute temperature. During the late 19th and the early 20th centuries, the molecular interpretation of the entropy was developed by Ludwig Boltzmann and by Josiah Willard Gibbs.
It is not clear that the property of additivity required from information would also be required for disorder9 ; it might also be meaningless to require the “consistency property” (or the “independence on grouping” — see Chapter 3) from a quantity such as disorder. 1), as claimed by Callen. Moreover, as we shall see in Chapter 3, many of the derived properties of information, such as conditional information, mutual information and the like would not and could not be assigned to disorder. It is unfortunate and perhaps even ironic that Callen dismisses “information” as subjective, while at the same time embracing Shannon’s deﬁnition of information, but renaming it as disorder.
A Farewell To Entropy by Arieh Ben-Naim