A Farewell To Entropy: Statistical Thermodynamics Based On - download pdf or read online

By Arieh Ben-Naim

ISBN-10: 9812707069

ISBN-13: 9789812707062

ISBN-10: 9812707077

ISBN-13: 9789812707079

ISBN-10: 981279073X

ISBN-13: 9789812790736

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 common, significant and acceptable time period similar to details, lacking info or uncertainty. This alternative could facilitate the translation of the driver of many techniques by way of informational adjustments and dispel the secret that has regularly enshrouded entropy.

it's been a hundred and forty years in view that Clausius coined the time period entropy ; virtually 50 years on the grounds that Shannon built the mathematical thought of data hence renamed entropy. during this publication, the writer advocates changing entropy via details, a time period that has develop into universal 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 primary cornerstone inspiration of thermodynamics, held previously by means of the time period entropy.

the subjects coated comprise the basics of likelihood and data thought; the final notion of data in addition to the actual inspiration of data as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of an amazing gasoline from basically informational arguments; the basic formalism of statistical mechanics; and lots of examples of easy procedures the motive force for that's analyzed by way of details.

Contents: components of chance thought; parts of data idea; Transition from the final MI to the Thermodynamic MI; The constitution of the rules of Statistical Thermodynamics; a few uncomplicated functions.

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Additional resources for A Farewell To Entropy: Statistical Thermodynamics Based On Information

Example text

It rests on observations that in some simple spontaneous processes, when viewed on a molecular level may be conceived as a disordering that takes place in the system. 6 Consider the following processes. 3 shows schematically three stages in a process of expanding of an ideal gas. On the left-hand side, we have N atoms in volume V . In the middle, some of the N atoms have moved to occupy a larger volume 2V, and on the right-hand side, the atoms are spread evenly in the entire volume 2V. Take a look.

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!

Ch02 December 7, 2007 36 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information to define the term probability.

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

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