By Arieh Ben-Naim
The crucial message of this e-book is that thermodynamics and statistical mechanics will take advantage of changing the unlucky, deceptive and mysterious time period "entropy" with a extra commonplace, significant and applicable time period reminiscent of info, lacking details or uncertainty. This alternative may facilitate the translation of the "driving strength" of many techniques when it comes to informational alterations and dispel the secret that has continually enshrouded entropy.
it's been a hundred and forty years because Clausius coined the time period "entropy"; nearly 50 years for the reason that Shannon constructed the mathematical thought of "information" -- for this reason renamed "entropy". during this publication, the writer advocates exchanging "entropy" by way of "information", a time period that has turn into accepted 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 basic cornerstone proposal of thermodynamics, held before by means of the time period "entropy".
the subjects lined comprise the basics of chance and data thought; the final proposal of knowledge in addition to the actual suggestion of knowledge as utilized in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an amazing gasoline from basically informational arguments; the elemental formalism of statistical mechanics; and lots of examples of straightforward techniques the "driving strength" for that's analyzed by way of details.
Readership: somebody drawn to the sciences, scholars, researchers; in addition to the layman.
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Additional resources for A Farewell To Entropy
My objection to the association of entropy with disorder is mainly due to the fact that order and disorder are not well-deﬁned and fuzzy concepts. They are very subjective, sometimes ambiguous, and at times totally misleading. 3 and Chapter 3). 12). This view however is not universal. ” ch01 December 5, 2007 16 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information In a paragraph preceding the discussion of entropy as disorder, Callen explains the origin of this subjectivity and writes: “The concept of probability has two distinct interpretations in common usage.
This has led to the identiﬁcation of temperature with the mean kinetic energy of the atoms or molecules in the gas. Once the identiﬁcation of the temperature as a measure of the average kinetic energy of the atoms had been conﬁrmed and accepted,20 there was no reason to keep the old units of K. 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!
8. T=50 K T=225 K Heat transfer from a hot to a cold gas. ch01 December 5, 2007 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information 14 systems, each having the same volume, the same number of particles, say Argon, but with two diﬀerent temperatures T1 = 50 K and T2 = 400 K. We bring them into contact. Experimentally, we observe that the temperature of the hot gas will get lower, and the temperature of the cold gas will get higher. At equilibrium, we shall have a uniform temperature of T = 225 K throughout the system.
A Farewell To Entropy by Arieh Ben-Naim