By Arieh Ben-Naim
The vital 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 customary, significant and applicable time period comparable to info, lacking info or uncertainty. This substitute may facilitate the translation of the "driving strength" of many tactics by way of informational adjustments and dispel the secret that has continually enshrouded entropy.
it's been one hundred forty years given that Clausius coined the time period "entropy"; virtually 50 years due to the fact that Shannon constructed the mathematical concept of "information" -- in this case renamed "entropy". during this ebook, the writer advocates exchanging "entropy" through "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. info is used not just as a device for predicting distributions yet because the primary cornerstone proposal of thermodynamics, held formerly by way of the time period "entropy".
the themes lined contain the basics of likelihood and knowledge concept; the overall idea of data in addition to the actual inspiration of knowledge as utilized in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of a fantastic fuel from simply informational arguments; the elemental formalism of statistical mechanics; and plenty of examples of straightforward procedures the "driving strength" for that's analyzed when it comes to details.
Readership: someone attracted to the sciences, scholars, researchers; in addition to the layman.
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Additional resources for A Farewell To Entropy
This message conveys information on more houses and on more money, yet it is roughly of the same size as the messages C or A. Information theory is neither concerned with the content of the message, nor with the amount of information that the message conveys. The only subject of interest is the size of the message itself. The message can carry small or large amounts of information, it can convey important or superﬂuous information; it may have diﬀerent meanings or values to diﬀerent persons or it can even be meaningless; it can be exact and reliable information or approximate and dubious information.
Note however that Lewis claims that entropy is a subjective concept. This is probably a result of his usage of the general concept of information and not the speciﬁc measure of information as deﬁned by Shannon. 12 See Leﬀ and Rex (1990). ch01 December 5, 2007 B534 Statistical Thermodynamics Based on Information 9in x 6in Introduction 21 The ﬁrst to capitalize on Shannon’s concept of information was Brillouin. In his book “Science and Information” (1956), Brillouin expressed the view that Clausius’ entropy and Shannon’s entropy are identical.
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. At that time, the molecular theory of matter was far from being universally accepted.