A Farewell To Entropy by Arieh Ben-Naim

By Arieh Ben-Naim

The primary message of this ebook is that thermodynamics and statistical mechanics will reap the benefits of exchanging the unlucky, deceptive and mysterious time period "entropy" with a extra widely used, significant and acceptable time period similar to info, lacking info or uncertainty. This substitute could facilitate the translation of the "driving strength" of many techniques when it comes to informational alterations and dispel the secret that has continuously enshrouded entropy.

it's been one hundred forty years considering the fact that Clausius coined the time period "entropy"; virtually 50 years in view that Shannon constructed the mathematical thought of "information" -- therefore renamed "entropy". during this ebook, the writer advocates changing "entropy" through "information", a time period that has develop into wide-spread 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 basic cornerstone proposal of thermodynamics, held beforehand by means of the time period "entropy".

the subjects lined comprise the basics of likelihood and knowledge thought; the overall notion of data in addition to the actual notion of knowledge as utilized in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of a terrific fuel from merely informational arguments; the elemental formalism of statistical mechanics; and plenty of examples of straightforward approaches the "driving strength" for that's analyzed by way of info.

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

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One should redefine a new absolute temperature, denote it tentatively as T , to replace kT . The new temperature T would have the units of energy and there should be no need for the Boltzmann constant. The equation for the entropy would be simply S = ln W ,21 and entropy would be rendered dimensionless! Had the kinetic theory of gases preceded Carnot, Clausius and Kelvin, Clausius would have defined changes of entropy as energy divided by temperature. But now this ratio would have been dimensionless.

Yet in terms of thermodynamics, the entropy, in this process, should not be noticeably changed. 5b becomes negligibly small and hence unmeasurable. Extensivity of disorder? 6. We have two boxes of equal volume V and the same number of particles N in each box. Each of the boxes looks disordered. 6) is twice the disorder of a single box? It is difficult to make a convincing argument for such an assertion since disorder is not well defined. But even as a qualitative concept, there is no reason to claim that the amount of disorder in the combined system is the sum of the disorder of each system.

This was extended by Ludwig Boltzmann in 1867. These works established both the existence and the form of the equilibrium velocity distribution of the molecules in the gas, known today as the Maxwell–Boltzmann distribution. This distribution established the connection between the average kinetic energy of the molecules with the absolute temperature. During the late 19th and the early 20th centuries, the molecular interpretation of the entropy was developed by Ludwig Boltzmann and by Josiah Willard Gibbs.

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