New PDF release: A Farewell To Entropy

By Arieh Ben-Naim

ISBN-10: 9812707077

ISBN-13: 9789812707079

The relevant message of this ebook is that thermodynamics and statistical mechanics will make the most of exchanging the unlucky, deceptive and mysterious time period "entropy" with a extra accepted, significant and acceptable time period similar to details, lacking info 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 regularly enshrouded entropy.

it's been one hundred forty years given that Clausius coined the time period "entropy"; virtually 50 years on the grounds that Shannon built the mathematical conception of "information" -- for this reason renamed "entropy". during this ebook, the writer advocates changing "entropy" via "information", a time period that has develop into everyday in lots of branches of technological know-how.

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 inspiration of thermodynamics, held beforehand by way of the time period "entropy".

the themes lined comprise the basics of chance and data conception; the final inspiration 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 fuel from merely informational arguments; the basic formalism of statistical mechanics; and plenty of examples of easy procedures the "driving strength" for that's analyzed when it comes to details.

Readership: someone drawn to the sciences, scholars, researchers; in addition to the layman.

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Extra info for A Farewell To Entropy

Sample text

A turning point in the acceptance of the atomistic theory of matter was the publication of the theory of Brownian motion by Albert Einstein (1905) followed by the experimental corroboration by Jean Perrin (1910). As we have seen in this brief history of temperature and entropy, the concept of temperature, the various thermometers and the various scales came before the establishment of the Maxwell–Boltzmann (MB) distribution of velocities. The acceptance of the Maxwell– Boltzmann distribution as well as Boltzmann’s expression for the entropy came later.

7. We start with two boxes of the same volume V and the same number of N particles in each. We bring all the particles into one box. 3, we shall refer to this process as a pure assimilation process. Here, we are only interested in the question: Is the final state less or more disordered than the initial state? Again, one can argue either way. For instance, one can argue that having N particles in each different box is a more ordered state than having all the 2N particles mixed up in one box. However, it can be shown that, in fact, the entropy as well as the MI decreases in this process.

Clearly, this is a highly subjective view. For this reason and some others discussed in Chapters 3 and 6, I believe that neither “disorder,” nor “spread of energy” are adequate descriptions of entropy. On the other hand, information or MI is adequate. As we shall see in Chapter 6, the increase in the entropy in this process can be interpreted as an increase in the MI. It will be shown that the final distribution of velocities is that with the minimum Shannon’s information or maximum MI. Although this result cannot be seen by looking directly at the system, nor by looking at the velocity distribution curves, it can be proven mathematically.

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A Farewell To Entropy by Arieh Ben-Naim

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