By Arieh Ben-Naim
The central message of this ebook is that thermodynamics and statistical mechanics will take advantage of changing the unlucky, deceptive and mysterious time period entropy with a extra customary, significant and applicable time period resembling info, lacking details or uncertainty. This alternative may facilitate the translation of the motive force of many tactics by way of informational alterations and dispel the secret that has continually enshrouded entropy.
it's been a hundred and forty years in view that Clausius coined the time period entropy ; nearly 50 years in view that Shannon built the mathematical idea of data for that reason renamed entropy. during this e-book, the writer advocates changing entropy via details, a time period that has turn into well-known 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 inspiration of thermodynamics, held earlier by means of the time period entropy.
the subjects coated contain the basics of likelihood and data idea; the final idea of knowledge in addition to the actual idea of knowledge as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of a great fuel from in simple terms informational arguments; the elemental formalism of statistical mechanics; and lots of examples of straightforward strategies the motive force for that is analyzed by way of info.
Contents: components of chance thought; components of data conception; Transition from the final MI to the Thermodynamic MI; The constitution of the rules of Statistical Thermodynamics; a few basic purposes.
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Additional info for A Farewell To Entropy: Statistical Thermodynamics Based On Information
Using information to lower the entropy. 12 However, the association of Maxwell’s demon with information and with entropy was quite loose. The association of entropy with information was ﬁrmed up and quantiﬁed only after Shannon introduced the quantitative measure of information in 1948. Previous to 1948, perhaps the most eloquent and explicit identiﬁcation of entropy with information (albeit not the quantitative Shannon’s measure) is the statement of G. N. Lewis in 1930: “Gain in entropy always means loss of information, and nothing more.
I have taught thermodynamics for many years and used Callen’s book as a textbook. It is an excellent book. However, with all due respect to Callen and to his book, I must say that Callen misleads the reader with these statements. Shannon never deﬁned nor referred to “disorder” in his writings. In my opinion, Callen is ch01 December 5, 2007 B534 Statistical Thermodynamics Based on Information Introduction 9in x 6in 17 fudging with the deﬁnition of disorder in the quoted statement and in the rest of that chapter.
Ch01 December 5, 2007 B534 Statistical Thermodynamics Based on Information 9in x 6in Introduction 21 The ﬁrst to capitalize on Shannon’s concept of information was Brillouin. In his book “Science and Information” (1956), Brillouin expressed the view that Clausius’ entropy and Shannon’s entropy are identical. Brillouin (1962) also suggested referring to information as neg-entropy. In my view, this amounts to replacing a simple, familiar and informative term with a vague and essentially misleading term.