By Arieh Ben-Naim
The primary message of this ebook is that thermodynamics and statistical mechanics will reap the benefits of changing the unlucky, deceptive and mysterious time period "entropy" with a extra popular, significant and applicable time period similar to info, lacking info or uncertainty. This substitute could facilitate the translation of the "driving strength" of many techniques when it comes to informational alterations and dispel the secret that has constantly enshrouded entropy.
it's been a hundred and forty years seeing that Clausius coined the time period "entropy"; virtually 50 years considering that Shannon constructed the mathematical concept of "information" -- consequently renamed "entropy". during this publication, the writer advocates exchanging "entropy" via "information", a time period that has develop into usual 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 basic cornerstone suggestion of thermodynamics, held earlier by means of the time period "entropy".
the themes coated contain the basics of likelihood and knowledge idea; the overall inspiration of data in addition to the actual suggestion of data as utilized in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an amazing gasoline from in simple terms 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 details.
Readership: somebody attracted to the sciences, scholars, researchers; in addition to the layman.
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Additional info for A Farewell To Entropy
Entropy . . ” He does not say “our own ignorance,” as misinterpreted by Prigogine. Indeed information, as we shall see in Chapter 3, is a measure that is there in the system. Within information theory, the term 13 Gell–Mann (1994). ch01 December 5, 2007 22 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information “information” is not a subjective quantity. ” As such, ignorance is also an objective quantity that belongs to the system and is not the same as “our own ignorance,” which might or might not be an objective quantity.
In my view, this amounts to replacing a simple, familiar and informative term with a vague and essentially misleading term. Instead, I would have suggested replacing entropy with either neg-information, missing information, or uncertainty. Ilya Prigogine (1997) in his recent book “End of Certainty” quotes Murray Gell–Mann (1994) saying: “Entropy and information are very closely related. In fact, entropy can be regarded as a measure of ignorance. ”13 I fully agree with the content of this quotation by Gell–Mann, yet Ilya Progogine, commenting on this very paragraph writes: “We believe that these arguments are untenable.
The information is about diﬀerent things, but all are measures of information nonetheless! Thus, although it is clear that the types of information discussed in thermodynamics and in communication theory are diﬀerent, they are all measures of information. Moreover, even in the same ﬁeld, say in analyzing the information in two languages in linguistics, or even the locational and the momenta information of a thermodynamics system, the types of information are diﬀerent. But in all cases that the expression − pi log pi appears, it conveys the meaning of a measure of information.