By Arieh Ben-Naim
The valuable message of this booklet is that thermodynamics and statistical mechanics will take advantage of exchanging the unlucky, deceptive and mysterious time period entropy with a extra generic, significant and acceptable time period resembling info, lacking info or uncertainty. This alternative may facilitate the translation of the motive force of many approaches by way of informational adjustments and dispel the secret that has continuously enshrouded entropy.
it's been one hundred forty years considering Clausius coined the time period entropy ; nearly 50 years in view that Shannon constructed the mathematical conception of knowledge accordingly renamed entropy. during this e-book, the writer advocates changing entropy via info, a time period that has turn into usual in lots of branches of technology.
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 basic cornerstone suggestion of thermodynamics, held before via the time period entropy.
the subjects lined contain the basics of chance and data thought; the overall inspiration of data in addition to the actual suggestion of data as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of an awesome fuel from basically informational arguments; the basic formalism of statistical mechanics; and plenty of examples of easy approaches the driver for that's analyzed by way of info.
Contents: parts of chance concept; parts of data idea; Transition from the overall MI to the Thermodynamic MI; The constitution of the rules of Statistical Thermodynamics; a few easy functions.
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The central message of this publication is that thermodynamics and statistical mechanics will reap the benefits of exchanging the unlucky, deceptive and mysterious time period entropy with a extra everyday, significant and acceptable time period akin to info, lacking details or uncertainty. This substitute could facilitate the translation of the motive force of many procedures when it comes to informational adjustments and dispel the secret that has continuously enshrouded entropy.
Extra info for A Farewell To Entropy: Statistical Thermodynamics Based On Information
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. All that matters is some measure of the size of the message. In Chapter 3, we shall make the last statement more ch01 December 5, 2007 24 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information quantitative.
Previous to 1948, perhaps the most eloquent and explicit identiﬁcation of entropy with information (albeit not the quantitative Shannon’s measure) is the statement of G. N. Lewis in 1930: “Gain in entropy always means loss of information, and nothing more. It is a subjective concept, but we can express it in a least subjective form, as follows. If, on a page, we read the description of a physico-chemical system, together with certain data which help to specify the system, the entropy of the system is determined by these speciﬁcations.
I shall discuss this issue in greater detail below and in Chapter 3. In my opinion, Gell–Mann is not only right in his statement, he is also careful to say “entropy can be regarded as a measure of ignorance . . Entropy . . ” He does not say “our own ignorance,” as misinterpreted by Prigogine. Indeed information, as we shall see in Chapter 3, is a measure that is there in the system. Within information theory, the term 13 Gell–Mann (1994). ch01 December 5, 2007 22 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information “information” is not a subjective quantity.