By Arieh Ben-Naim
The crucial message of this e-book is that thermodynamics and statistical mechanics will take advantage of exchanging the unlucky, deceptive and mysterious time period entropy with a extra prevalent, significant and applicable time period reminiscent of info, lacking info or uncertainty. This alternative might facilitate the translation of the motive force of many approaches by way of informational adjustments and dispel the secret that has consistently enshrouded entropy.
it's been a hundred and forty years due to the fact Clausius coined the time period entropy ; nearly 50 years considering Shannon constructed the mathematical conception of data consequently renamed entropy. during this e-book, the writer advocates changing entropy through details, a time period that has develop into popular 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 primary cornerstone inspiration of thermodynamics, held beforehand via the time period entropy.
the themes coated contain the basics of chance and knowledge idea; the overall suggestion of data 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 basically informational arguments; the basic formalism of statistical mechanics; and plenty of examples of straightforward approaches the motive force for that's analyzed by way of info.
Contents: components of likelihood idea; components of data idea; 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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Extra resources 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.
8, the change in entropy does involve some quantity of heat (energy) transferred and temperature. But this is only one example of a spontaneous process. 6. In both cases, entropy increases. However, in both cases, there is no change in energy, no heat transfer, and no dependence on temperature. If we carry out ch01 December 5, 2007 30 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information these two processes for an ideal gas as in an isolated system, then the entropy change will be ﬁxed, independent of the temperature of the system, and obviously no heat is transferred from one body to another.
6. In both cases, entropy increases. However, in both cases, there is no change in energy, no heat transfer, and no dependence on temperature. If we carry out ch01 December 5, 2007 30 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information these two processes for an ideal gas as in an isolated system, then the entropy change will be ﬁxed, independent of the temperature of the system, and obviously no heat is transferred from one body to another.