By Arieh Ben-Naim
The relevant message of this publication is that thermodynamics and statistical mechanics will reap the benefits of changing the unlucky, deceptive and mysterious time period entropy with a extra known, significant and acceptable time period similar to info, lacking details or uncertainty. This alternative might facilitate the translation of the motive force of many techniques by way of informational adjustments and dispel the secret that has regularly enshrouded entropy.
it's been one hundred forty years seeing that Clausius coined the time period entropy ; virtually 50 years for the reason that Shannon built the mathematical thought of knowledge as a result renamed entropy. during this booklet, the writer advocates changing entropy through details, a time period that has develop into frequent 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 basic cornerstone proposal of thermodynamics, held previously by means of the time period entropy.
the subjects coated contain the basics of chance and knowledge thought; the overall inspiration of data in addition to the actual idea of knowledge as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of an awesome gasoline from basically informational arguments; the basic formalism of statistical mechanics; and plenty of examples of straightforward approaches the motive force for that's analyzed when it comes to info.
Contents: parts of likelihood thought; parts of data thought; Transition from the final MI to the Thermodynamic MI; The constitution of the rules of Statistical Thermodynamics; a few uncomplicated functions.
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Additional resources for A Farewell To Entropy: Statistical Thermodynamics Based On Information
Clearly, I could choose 10 and you could choose 3 and you might win the game. Does our calculation guarantee that if I choose 10, I will always win? Obviously not. So what does the ratio 25:27 mean? The theory of probability gives us an answer. It does not predict the winning number, and it does not guarantee winning; it only says that if we play this game many times, the probability that the choice of 9 wins is 25/216, whereas the probability of the choice of 10 wins is slightly larger at 27/216 (216 being the total number of possible outcomes, 63 = 216).
Following the invention of the thermometer, it became possible to make precise measurements of the temperature. 5) where C is a constant, proportional to the amount of gas. 2, it is clear that if we extrapolate to lower temperature all the curves converge to a single point. This led to the realization that there exists a minimal temperature, or an absolute zero temperature. 2. Volume as a function of temperature at diﬀerent pressures. The pressure decreases in the direction of the arrow. 31 × 107 erg/mol K.
This is true not only between communication theory and thermodynamics. The measure of information − pi log pi in linguistics makes no reference to the distribution of coins in boxes, or electrons in energy levels, and the measure of information − pi log pi in thermodynamics makes no reference to the frequencies of the alphabet letters in a speciﬁc language; the two ﬁelds, or even the two subﬁelds (say, in two diﬀerent languages) are indeed diﬀerent. The information is about diﬀerent things, but all are measures of information nonetheless!
A Farewell To Entropy: Statistical Thermodynamics Based On Information by Arieh Ben-Naim