By Arieh Ben-Naim
The critical message of this booklet is that thermodynamics and statistical mechanics will reap the benefits of changing the unlucky, deceptive and mysterious time period "entropy" with a extra wide-spread, significant and acceptable time period akin to details, lacking details or uncertainty. This alternative may facilitate the translation of the "driving strength" of many tactics by way of informational adjustments and dispel the secret that has consistently enshrouded entropy.
it's been one hundred forty years seeing that Clausius coined the time period "entropy"; nearly 50 years considering Shannon built the mathematical idea of "information" -- accordingly renamed "entropy". during this ebook, the writer advocates exchanging "entropy" by way of "information", a time period that has turn into primary in lots of branches of technological know-how.
the writer additionally takes a brand new and ambitious method of thermodynamics and statistical mechanics. info is used not just as a device for predicting distributions yet because the primary cornerstone suggestion of thermodynamics, held previously by way of the time period "entropy".
the subjects coated comprise the basics of chance and knowledge conception; the final inspiration of knowledge 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 awesome fuel from only informational arguments; the elemental formalism of statistical mechanics; and lots of examples of straightforward tactics the "driving strength" for that is analyzed by way of info.
Readership: a person drawn to the sciences, scholars, researchers; in addition to the layman.
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Extra info for A Farewell To Entropy
This information is not the subject of interest of information theory. When Shannon sought a quantity to measure 14 Atkins (1984). ch01 December 5, 2007 B534 Statistical Thermodynamics Based on Information 9in x 6in Introduction 23 information transmitted across communication lines, he was not interested in the content or the meaning of information, but in a quantity that measures the amount of information that is being transmitted. Leaving aside the content or the meaning of information and focusing only on the size or the amount of information, we are still far from Shannon’s measure of information.
In my view, this amounts to replacing a simple, familiar and informative term with a vague and essentially misleading term. Instead, I would have suggested replacing entropy with either neg-information, missing information, or uncertainty. Ilya Prigogine (1997) in his recent book “End of Certainty” quotes Murray Gell–Mann (1994) saying: “Entropy and information are very closely related. In fact, entropy can be regarded as a measure of ignorance. ”13 I fully agree with the content of this quotation by Gell–Mann, yet Ilya Progogine, commenting on this very paragraph writes: “We believe that these arguments are untenable.
B) The overall distribution of velocities, before and after the process of heat transfer. ch01 December 5, 2007 B534 Statistical Thermodynamics Based on Information 9in x 6in Introduction 15 distribution is more ordered or disordered? Can you tell in which distribution the spread of kinetic energy is more even, or over a larger range of velocities? To me, the ﬁnal distribution (the dashed curve) looks more ordered, and the distribution looks less spread out over the range of velocities. Clearly, this is a highly subjective view.
A Farewell To Entropy by Arieh Ben-Naim