A Farewell To Entropy: Statistical Thermodynamics Based On by Arieh Ben-Naim

By Arieh Ben-Naim

The imperative message of this ebook is that thermodynamics and statistical mechanics will take advantage of exchanging the unlucky, deceptive and mysterious time period entropy with a extra favourite, significant and applicable time period reminiscent of details, lacking info or uncertainty. This substitute might facilitate the translation of the motive force of many strategies when it comes to informational alterations and dispel the secret that has consistently enshrouded entropy.

it's been a hundred and forty years considering the fact that Clausius coined the time period entropy ; virtually 50 years in view that Shannon constructed the mathematical concept of knowledge as a result renamed entropy. during this ebook, the writer advocates changing entropy by way of details, a time period that has develop into known in lots of branches of technological know-how.

the writer additionally takes a brand new and impressive method of thermodynamics and statistical mechanics. details is used not just as a device for predicting distributions yet because the primary cornerstone idea of thermodynamics, held in the past by means of the time period entropy.

the subjects lined contain the basics of chance and data conception; the final suggestion of data in addition to the actual thought of knowledge as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of a great gasoline from only informational arguments; the basic formalism of statistical mechanics; and plenty of examples of straightforward procedures the driver for that's analyzed when it comes to details.

Contents: components of chance thought; parts of data conception; Transition from the overall MI to the Thermodynamic MI; The constitution of the principles of Statistical Thermodynamics; a few easy functions.

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The same number of combinations of integers (between 1 and 6), the sum of which is 9 or 10. Here are all the possible partitions: For 9: 1:2:6, 1:3:5, 1:4:4, 2:2:5, 2:3:4, 3:3:3 For 10: 1:3:6, 1:4:5, 2:2:6, 2:3:5, 2:4:4, 3:3:4 At first glance, we might conclude that since 9 and 10 have the same number of partitions, they must have the same chances of winning the game. That conclusion is wrong, however. The correct answer is that 10 has better chances of winning than 9. The reason is that, though the number of partitions is the same for 9 and 10, the total number of outcomes of the three dice that sum up to 9 is a little bit smaller than the total number of outcomes that sum up to 10.

9in x 6in 13 V, 2 NA A pure assimilation process. 7. We start with two boxes of the same volume V and the same number of N particles in each. We bring all the particles into one box. 3, we shall refer to this process as a pure assimilation process. Here, we are only interested in the question: Is the final state less or more disordered than the initial state? Again, one can argue either way. For instance, one can argue that having N particles in each different box is a more ordered state than having all the 2N particles mixed up in one box.

However, it can be shown that, in fact, the entropy as well as the MI decreases in this process. Therefore, if we associate decrease in entropy with decrease in disorder, we should conclude that the final state is more ordered. Heat transfer from a hot to a cold gas As a final example, we discuss here an experiment involving change of temperatures. This experiment is important for several reasons. First, it is one of the classical processes in which entropy increases: in fact, this was the process for which the Second Law was first formulated.

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