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Product details
File Size: 10209 KB
Print Length: 411 pages
Publisher: WSPC (January 18, 2008)
Publication Date: January 18, 2008
Sold by: Amazon Digital Services LLC
Language: English
ASIN: B004S06TU8
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The author is gifted in his ability to explain difficult concepts. I have done quite some readings on thermodynamics, thermal physics and statistical mechanics. No other books can make the concept of "entropy" so crystal clear to me. The clarity of the derivation of the Sackur-Tetrode equation in the book is also impressive.
I've been trying to understand the concept of entropy ever since my first course in thermodynamics in the early 1960s. Tying it into the Shannon information concept and pointing out that temperature should have been defined to have the units of energy is a huge step in the right direction. I'm also now convinced that the Bayesian statistical concept that probability is a measure of the lack of subjective knowledge about the world is fundamental.
Ben-Naim really hits the nail on the head. This is an excellent book that makes clearer than any other the connection between information theoretic entropy and thermodynamic entropy. The derivation of the Sakur-Tetrode equation is terrific. His whole set of books are very useful.
"A Farewell to Entropy: Statistical Thermodynamics Based on Information" by Arieh Ben-Naim is really a great book. One can consider it a more technical and detailed version of the wonderful little book by the same author, "Entropy Demystified". Although the concept of entropy has been around for almost 150 years, it still remains elusive and controversial. This can be easily seen by the large number of scientific articles, books, and scientific meetings that are currently dedicated to the foundations of the subject. The interpretation of entropy of a system as missing information about the system has been around for a long time, since the works by Brillouin and Jaynes in the 1950's. However, it has been dismissed by many scientists as a subjective interpretation, although, as it is wonderfully explained by Ben-Naim, these same scientists sponsored even more subjective interpretations, such as a measure of the disorder of the system. The book by Ben-Naim provides a solid and lucid explanation of missing information as a very precise and objective concept. The connection between missing information and thermodynamic entropy is also very clearly explained. The book also contains several examples that are very illuminating. I think the book should be read by anyone interested in statistical physics and physics of complex systems.
I read this book with great joy. I think an important contribution to the understanding of entropy as information loss. highly recommended
I'm writing my own book on the foundations of chemical engineering in which the concept of entropy plays a significant role. In attempting to understand the inherent, fundamental meaning of entropy, I've read much of the relevant literature, starting back with Clausius himself and continuing into Boltzmann, Gibbs and Tolman. While the development of this historical context has been a fascinating experience for me, it wasn't until I started reading the works of Arieh Ben-Naim that I finally started to truly understand what both entropy and the 2nd law of thermodynamics are all about. Ben-Naim connects them together using the work and insight of Claude Shannon's Information Theory. This was a very readable book and addressed many of the questions I had for myself about the subject, which I appreciated. It has technical depth combined with a clarity of message. This book complemented well two of the other Ben-Naim books on entropy that I recently read as well, "Discover Entropy of the Second Law of Thermodynamics" and "Entropy and the Second Law." I strongly recommend this book to anyone seeking to understand entropy.
Finally a book that brings information theory and thermodynamics together in a comprehensive way! Ben-Naim paves the way for a future generation of innovation in statistical thermodynamics using the tools of information theory.The traditional understanding of entropy associates it with disorder. While this view is useful in many contexts, it fails to explain some properties of entropy. Ben-Naim leads us into identifying entropy with uncertainty, or the "missing information" of the system. Information possessed by whom? In this case, we are not talking about perception or communication. Wherever the number of states of a thermodynamic system resides, there resides the entropy.Ben-Naim explains the so-called Gibbs-paradox in a most satisfying way (Appendix O). A related phenomenon occurs when we mix two chemical species and leave the volume and temperature unchanged. We originally have Na moles of gas A and Nb moles of gas B, each in its respective container of volume V. If we now mix both substances into a single container also of volume V, the entropy remains unchanged. If we insist in understanding entropy as disorder, the mixed container looks more disordered; but the entropy stayed constant. This is not a paradox. In this process, the volume available for substance A and substance B to explore never changed, so the counting of states is unaltered. The missing locational information about gas A and gas B is constant for this process. This treatment applies to ideal mixtures, where the particles don't interact among themselves.For processes where the particles do interact, we will observe additional correlations which reduce the missing information, a.k.a. entropy. The physical coupling of intermolecular forces translates into statistical correlations. Ben-Naim's presentation (Chap. 5) creates a further bridge between the statistical, information theoretical understanding and thermodynamic entropy.What I would call the jewel of the book is a rederivation of the Sackur-Tetrode equation for the entropy of an ideal gas (Sec. 5.4). We learn this equation from physical chemistry books as set in stone, but what does it mean? The author rederives it by stacking the missing information due to 4 terms: locational uncertainty, momenta uncertainty, quantum mechanical uncertainty principle and the indistinguishability of the particles.For all the bridges that Ben-Naim constructs between information theory and thermodynamics, there remain some gaps. "There is no formal proof that [the counting of states and the quantity defined by Clausius in terms of heat transfer and temperature] are identical. The validity of the relationship between the two quantities ultimately rests on the agreement between the calculated values of [entropy] and experimental data based on Clausius' definition". This state of affairs is however not unique to entropy, as science rests on many empirical relationships.The book is well-written and can be used by researchers and students of undergraduate and graduate levels.
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