By Arieh Ben-Naim
The crucial message of this booklet 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 akin to info, lacking info or uncertainty. This substitute might facilitate the translation of the driver of many tactics by way of informational alterations and dispel the secret that has constantly enshrouded entropy.
it's been one hundred forty years seeing that Clausius coined the time period entropy ; virtually 50 years given that Shannon constructed the mathematical thought of knowledge thus renamed entropy. during this booklet, the writer advocates changing entropy through info, a time period that has develop into conventional 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 idea of thermodynamics, held earlier by way of the time period entropy.
the themes coated comprise the basics of likelihood and data concept; the overall suggestion 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 an excellent fuel from simply informational arguments; the basic formalism of statistical mechanics; and lots of examples of easy approaches the driver for that's analyzed when it comes to details.
Contents: parts of likelihood thought; components of data concept; Transition from the final MI to the Thermodynamic MI; The constitution of the principles of Statistical Thermodynamics; a few uncomplicated functions.
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Additional info for A Farewell To Entropy: Statistical Thermodynamics Based On Information
And the tenth house costs one million dollars. Clearly, the two messages A and B carry the same information. The size of A is however much smaller than the size of B. Consider the next message: C: Each of the houses in this town costs one million dollars. Clearly, C contains more information than B. The message C tells us the price of more houses than the message B, yet it is much shorter than B (shorter in some sense that will be discussed in Chapter 3). Consider the next message: D: Each of the houses in this country costs one billion dollars.
7). Yet, one can prove that the two systems have equal entropy. The association of mixing, with increase in disorder, and hence increase in entropy, is therefore only an illusion. The trouble with the concept of order and disorder is that they are not well-deﬁned quantities — “order” as much as “structure” and “beauty” are in the eyes of the beholder! “Mixing” of the same gas Consider the following two processes. 5. V, NA 2 V, 2 NA Assimilation, or “mixing” of two gases of the same kind. ch01 December 5, 2007 12 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information separated by a partition.
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. If any of the essential data are erased, the entropy becomes greater; if any essential data are added, the entropy becomes less.