A Farewell To Entropy by Arieh Ben-Naim

By Arieh Ben-Naim

The significant message of this ebook is that thermodynamics and statistical mechanics will make the most of changing the unlucky, deceptive and mysterious time period "entropy" with a extra popular, significant and acceptable time period resembling info, lacking details or uncertainty. This substitute might facilitate the translation of the "driving strength" of many procedures by way of informational adjustments and dispel the secret that has consistently enshrouded entropy.

it's been a hundred and forty years in view that Clausius coined the time period "entropy"; nearly 50 years given that Shannon constructed the mathematical concept of "information" -- hence renamed "entropy". during this e-book, the writer advocates exchanging "entropy" by way of "information", 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. info is used not just as a device for predicting distributions yet because the basic cornerstone proposal of thermodynamics, held beforehand through the time period "entropy".

the themes lined comprise the basics of likelihood and knowledge concept; the final idea of data in addition to the actual inspiration of knowledge as utilized in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an amazing fuel from basically informational arguments; the basic formalism of statistical mechanics; and lots of examples of straightforward methods the "driving strength" for that's analyzed when it comes to details.

Readership: a person attracted to the sciences, scholars, researchers; in addition to the layman.

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Extra resources for A Farewell To Entropy

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Lewis in 1930: “Gain in entropy always means loss of information, and nothing more. It is a subjective concept, but we can express it in a least subjective form, as follows. If, on a page, we read the description of a physico-chemical system, together with certain data which help to specify the system, the entropy of the system is determined by these specifications. If any of the essential data are erased, the entropy becomes greater; if any essential data are added, the entropy becomes less. Nothing further is needed to show that the irreversible process neither implies one-way time, nor has any other temporal implications.

It is clear from this sequence of events that the units of temperature were determined at least two decades before the recognition and acceptance of the molecular interpretation of the temperature. When Clausius formulated the Second Law in terms of dQ/T , it was only natural to define the entropy in units of energy divided by temperature. , energy divided by temperature or Joule/Kelvin, or J/K. 10) (instead of 3kB T /2 on the right-hand side). 11) or on the definition of Clausius’ entropy, dQ . 12) T The only difference would have been that the entropy S would now be a dimensionless quantity.

6 II 2 V, N 2 V, N Three stages in the process of an expanding ideal gas. 3, as the author did. 4. Mixing of two different gases. mixed up in the same volume V . 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.

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