By Arieh Ben-Naim
The primary message of this publication is that thermodynamics and statistical mechanics will make the most of changing the unlucky, deceptive and mysterious time period "entropy" with a extra regular, significant and acceptable time period comparable to details, lacking info or uncertainty. This substitute may facilitate the translation of the "driving strength" of many procedures by way of informational adjustments and dispel the secret that has continually enshrouded entropy.
it's been one hundred forty years considering Clausius coined the time period "entropy"; virtually 50 years due to the fact Shannon built the mathematical idea of "information" -- in this case renamed "entropy". during this booklet, the writer advocates exchanging "entropy" via "information", a time period that has develop into regular 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 suggestion of thermodynamics, held in the past by way of the time period "entropy".
the themes coated comprise the basics of chance and data thought; the final thought of data in addition to the actual thought of data as utilized in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an amazing gasoline from basically informational arguments; the elemental formalism of statistical mechanics; and plenty of examples of easy strategies the "driving strength" for that is analyzed when it comes to info.
Readership: someone drawn to the sciences, scholars, researchers; in addition to the layman.
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Additional info for A Farewell To Entropy
Temperature, like pressure, is an intensive quantity; both can be felt by our senses. Entropy, like volume, is an extensive quantity depending on the size of the system. Unlike pressure and volume, temperature and entropy (as well as the Second Law), would not have existed had matter not been made up of an immense number of atoms and molecules. It is true that both temperature and entropy were deﬁned and measured without any reference to the atomic constituency of matter. However, the understanding of these quantities and in fact, their very existence, is dependent on the atomic constituency of matter.
It should be noted that the relation between the temperature and the average kinetic energy of the particles is true for classical ideal gases. It is not true in general. For instance, ideal Fermi gas at T=0 K, has non-zero energy, see also Leﬀ (1999) and Hill (1960). 5). The removal of the units from Clausius’ entropy would not have any eﬀect on the interpretation of the entropy within the classical (or the non-atomistic) formulation of the Second Law. It would have a tremendous eﬀect on the interpretation of Boltzmann’s entropy, in terms of probability, and later in terms of the missing information.
Shannon never deﬁned nor discussed disorder in connection with his work on information theory. ” As we shall see in Chapter 3, Shannon did not start by deﬁning information (or choice or uncertainty, certainly not disorder). What Shannon did was to start with the general concept of “information” 8 McGlashan (1979) has also expressed reservations regarding the association of entropy with disorder. ” He then continues: “It does, but only for two very special cases. ” ch01 December 5, 2007 18 B534 Statistical Thermodynamics Based on Information 9in x 6in Statistical Thermodynamics Based on Information or rather the quantity of information transmitted along communication lines.
A Farewell To Entropy by Arieh Ben-Naim