Get A Farewell To Entropy: Statistical Thermodynamics Based On PDF

By Arieh Ben-Naim

ISBN-10: 9812707069

ISBN-13: 9789812707062

ISBN-10: 9812707077

ISBN-13: 9789812707079

ISBN-10: 981279073X

ISBN-13: 9789812790736

The important message of this publication is that thermodynamics and statistical mechanics will take advantage of changing the unlucky, deceptive and mysterious time period entropy with a extra conventional, significant and acceptable time period equivalent to details, lacking info or uncertainty. This substitute may facilitate the translation of the driver of many methods when it comes to informational alterations and dispel the secret that has continuously enshrouded entropy.

it's been one hundred forty years when you consider that Clausius coined the time period entropy ; nearly 50 years seeing that Shannon constructed the mathematical thought of data to that end renamed entropy. during this booklet, the writer advocates exchanging entropy by means of info, a time period that has turn into normal in lots of branches of technology.

the writer additionally takes a brand new and impressive 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 beforehand via the time period entropy.

the subjects lined comprise the basics of likelihood and data thought; the overall thought of data 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 terrific fuel from simply informational arguments; the elemental formalism of statistical mechanics; and plenty of examples of straightforward methods the motive force for that's analyzed when it comes to details.

Contents: components of chance conception; parts of data conception; Transition from the final MI to the Thermodynamic MI; The constitution of the principles of Statistical Thermodynamics; a few easy purposes.

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Arieh Ben-Naim's A Farewell To Entropy: Statistical Thermodynamics Based On PDF

The crucial message of this booklet is that thermodynamics and statistical mechanics will make the most of exchanging the unlucky, deceptive and mysterious time period entropy with a extra popular, significant and applicable time period corresponding to details, lacking details or uncertainty. This alternative may facilitate the translation of the motive force of many tactics by way of informational adjustments and dispel the secret that has consistently enshrouded entropy.

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Extra info for A Farewell To Entropy: Statistical Thermodynamics Based On Information

Sample text

Friedman and Shimony (1971) and Diaz and Shimony (1981). ” In 1983 Jaynes writes16 : “The function H is called entropy, or better, information entropy of the distribution {pi }. This is an unfortunate terminology which now seems impossible to correct. We must warn at the outset that the major occupational disease of this field is a persistent failure to distinguish between information entropy, which is a property of any probability distribution, and experimental entropy of thermodynamics, which is instead a property of a thermodynamics state as defined, for example, by such observed quantities as pressure volume, temperature, magnetization of some physical system.

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. On the right-hand side, they are mixed up. “Mixed-up” is certainly a disordered state, colloquially speaking. 7). Yet, one can prove that the two systems have equal entropy. The association of mixing, with increase in disorder, and hence increase in entropy, is therefore only an illusion. The trouble with the concept of order and disorder is that they are not well-defined quantities — “order” as much as “structure” and “beauty” are in the eyes of the beholder!

Objective probability’ refers to a frequency , or a fractional occurrence; the assertion that ‘the probability of newborn infants being male is slightly less than one half ’ is a statement about census data. ‘Subjective probability’ is a measure of expectation based on less than optimum information . ” I have quoted Callen’s paragraph above to show that his argument in favoring “disorder” is essentially fallacious. I believe Callen has mis-applied a probabilistic argument to deem information as “subjective” and to advocate in favor of “disorder,” which in his view is “objective” (more on this in Chapter 2).

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A Farewell To Entropy: Statistical Thermodynamics Based On Information by Arieh Ben-Naim


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