By Arieh Ben-Naim
The central message of this e-book is that thermodynamics and statistical mechanics will reap the benefits of exchanging the unlucky, deceptive and mysterious time period "entropy" with a extra customary, significant and acceptable time period reminiscent of info, lacking details or uncertainty. This substitute 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 on the grounds that Clausius coined the time period "entropy"; nearly 50 years for the reason that Shannon constructed the mathematical conception of "information" -- as a result renamed "entropy". during this ebook, the writer advocates exchanging "entropy" by means of "information", a time period that has turn into commonplace in lots of branches of technological know-how.
the writer additionally takes a brand new and ambitious method of thermodynamics and statistical mechanics. details is used not just as a device for predicting distributions yet because the primary cornerstone notion of thermodynamics, held earlier via the time period "entropy".
the subjects lined comprise the basics of chance and knowledge conception; the overall suggestion of knowledge in addition to the actual suggestion of knowledge as utilized in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an awesome fuel from only informational arguments; the elemental formalism of statistical mechanics; and lots of examples of easy techniques the "driving strength" for that's analyzed when it comes to info.
Readership: a person drawn to the sciences, scholars, researchers; in addition to the layman.
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Extra info for A Farewell To Entropy
We bring all the particles into one box. 3, we shall refer to this process as a pure assimilation process. Here, we are only interested in the question: Is the ﬁnal state less or more disordered than the initial state? Again, one can argue either way. For instance, one can argue that having N particles in each diﬀerent box is a more ordered state than having all the 2N particles mixed up in one box. However, it can be shown that, in fact, the entropy as well as the MI decreases in this process.
One should redeﬁne a new absolute temperature, denote it tentatively as T , to replace kT . The new temperature T would have the units of energy and there should be no need for the Boltzmann constant. The equation for the entropy would be simply S = ln W ,21 and entropy would be rendered dimensionless! Had the kinetic theory of gases preceded Carnot, Clausius and Kelvin, Clausius would have deﬁned changes of entropy as energy divided by temperature. But now this ratio would have been dimensionless.
13), 5 See, for example, Denbigh (1966). 15) or equivalently T = m v2 . 16) Hence A=N =N m v2 m v2 −N S/N 2 3 m v2 2 1− 2S . 17) includes the entropy, or rather the missing information (M I). Since S is an extensive quantity, S/N is the M I per particle in this system. 2 The Association of Entropy with Disorder During over a hundred years of the history of entropy, there have been many attempts to interpret and understand entropy. We shall discuss the two main groups of such interpretations of entropy.