By Arieh Ben-Naim
The central 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 popular, significant and applicable time period reminiscent of details, lacking details or uncertainty. This substitute might facilitate the translation of the driver of many approaches when it comes to informational adjustments and dispel the secret that has constantly enshrouded entropy.
it's been one hundred forty years considering that Clausius coined the time period entropy ; virtually 50 years seeing that Shannon built the mathematical idea of knowledge thus renamed entropy. during this ebook, the writer advocates exchanging entropy by way of details, a time period that has turn into time-honored 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 idea of thermodynamics, held in the past via the time period entropy.
the themes lined comprise the basics of likelihood and knowledge thought; the final proposal of data in addition to the actual idea of data as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of a terrific fuel from basically informational arguments; the basic formalism of statistical mechanics; and plenty of examples of straightforward tactics the motive force for that is analyzed by way of info.
Contents: parts of likelihood conception; parts of knowledge conception; Transition from the overall MI to the Thermodynamic MI; The constitution of the rules of Statistical Thermodynamics; a few basic purposes.
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Additional info for A Farewell To Entropy: Statistical Thermodynamics Based On Information
Clearly, choosing the sum 7 is 33 ch02 December 7, 2007 34 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information better. Why? , 7 can be obtained as a result of four possible partitions: 1:1:5, 1:2:4, 1:3:3, 2:2:3. We also feel that the larger the sum, the larger the number of partitions, up to a point, roughly in the center between the minimum of 3 to the maximum of 18. But how can we choose between 9 to 10? , the same number of combinations of integers (between 1 and 6), the sum of which is 9 or 10.
By doing that, he actually replaces a well-deﬁned, quantitative and objective quantity by a more subjective concept of disorder. Had Callen not used Shannon’s deﬁnition of information, the concept of disorder would have remained an undeﬁned, qualitative and highly subjective quantity. In my view, it does not make any diﬀerence if you refer to information or to disorder, as subjective or objective. What matters is that order and disorder are not well-deﬁned scientiﬁc concepts. On the other hand, information is a well-deﬁned scientiﬁc quantity, as 9 See examples above.
22 As is eﬀectively done in many ﬁelds of physics. , the entropy of the system would be proportional to the size of the system. 24 Quoted by Jacob Bekenstein (2003). 1 Introduction Probability theory is a branch of mathematics. Its uses are in all ﬁelds of sciences, from physics and chemistry, to biology and sociology, to economics and psychology; in short, it is used everywhere and anytime in our lives. It is an experimental fact that in many seemingly random events, high regularities are observed.
A Farewell To Entropy: Statistical Thermodynamics Based On Information by Arieh Ben-Naim
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