By Arieh Ben-Naim
The relevant message of this booklet is that thermodynamics and statistical mechanics will take advantage of exchanging the unlucky, deceptive and mysterious time period entropy with a extra prevalent, significant and acceptable time period comparable to details, lacking info or uncertainty. This alternative could facilitate the translation of the motive force of many strategies when it comes to informational adjustments 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 built the mathematical thought of knowledge as a result renamed entropy. during this e-book, the writer advocates changing entropy by way of info, a time period that has turn into regular in lots of branches of technology.
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 proposal of thermodynamics, held in the past via the time period entropy.
the themes coated contain the basics of chance and data idea; the overall notion of knowledge in addition to the actual notion of data as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of an amazing fuel from simply informational arguments; the elemental formalism of statistical mechanics; and plenty of examples of easy approaches the driver for that's analyzed by way of details.
Contents: components of chance conception; parts of data idea; Transition from the overall MI to the Thermodynamic MI; The constitution of the rules of Statistical Thermodynamics; a few easy purposes.
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Additional info for A Farewell To Entropy: Statistical Thermodynamics Based On Information
In fact, it is not clear at all what requirement should a measure of disorder fulﬁll. 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.
However, in both cases, there is no change in energy, no heat transfer, and no dependence on temperature. If we carry out ch01 December 5, 2007 30 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information these two processes for an ideal gas as in an isolated system, then the entropy change will be ﬁxed, independent of the temperature of the system, and obviously no heat is transferred from one body to another. These examples are only indicative that changes in entropy do not necessarily involve units of energy and temperature.
In this formulation, the MI is built-in in the problem. It is as objective as the given number of boxes, and it is indiﬀerent to the person who hid the coin in the box. Denbigh and Denbigh (1985), who thoroughly discussed the question of the subjectivity of information, asked: “Whose information or uncertainty is being referred to? Where does the entropy reside? ” 19 Denbigh, K. (1981), “How subjective is entropy,” Chemistry in Britain 17, 168–185. ” In my view, the question of “whose information is being referred to” is not relevant to the quantity H, as deﬁned by Shannon.
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