By Arieh Ben-Naim
The critical message of this e-book is that thermodynamics and statistical mechanics will reap the benefits of changing the unlucky, deceptive and mysterious time period entropy with a extra usual, significant and acceptable time period akin to info, lacking info or uncertainty. This substitute might facilitate the translation of the motive force of many methods when it comes to informational alterations and dispel the secret that has consistently enshrouded entropy.
it's been one hundred forty years considering the fact that Clausius coined the time period entropy ; nearly 50 years on account that Shannon constructed the mathematical conception of data consequently renamed entropy. during this e-book, the writer advocates exchanging entropy by way of info, a time period that has turn into universal 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 basic cornerstone suggestion of thermodynamics, held previously through the time period entropy.
the subjects lined contain the basics of chance and knowledge conception; the overall proposal of knowledge in addition to the actual proposal of data as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of an awesome gasoline from in simple terms informational arguments; the basic formalism of statistical mechanics; and lots of examples of straightforward techniques the motive force for that is analyzed by way of details.
Contents: components of chance conception; parts of data concept; Transition from the final MI to the Thermodynamic MI; The constitution of the rules of Statistical Thermodynamics; a few easy purposes.
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Extra resources 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.
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.
Had entropy been deﬁned as a dimensionless quantity, the identiﬁcation between the two entropies and eventually the interpretation of entropy as a measure of information would have become much easier. The redeﬁnition of the temperature in units of energy will also render the (erroneous) interpretation of the entropy as either “heat loss” or “unavailable energy” as superﬂuous. Consider for simplicity that we have an ideal mono-atomic gas so that all the internal energy consists of only the kinetic energy.