A Farewell To Entropy: Statistical Thermodynamics Based On by Arieh Ben-Naim

By Arieh Ben-Naim

The critical message of this ebook is that thermodynamics and statistical mechanics will reap the benefits of changing the unlucky, deceptive and mysterious time period entropy with a extra frequent, significant and applicable time period comparable to info, lacking info or uncertainty. This substitute could facilitate the translation of the motive force of many methods by way of informational adjustments and dispel the secret that has continually enshrouded entropy.

it's been one hundred forty years for the reason that Clausius coined the time period entropy ; nearly 50 years because Shannon built the mathematical thought of data consequently renamed entropy. during this publication, the writer advocates changing entropy by means of info, a time period that has develop into frequent in lots of branches of technology.

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 primary cornerstone thought of thermodynamics, held beforehand via the time period entropy.

the subjects lined comprise the basics of chance and data thought; the final proposal of knowledge in addition to the actual proposal of knowledge as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of an amazing gasoline from basically informational arguments; the basic formalism of statistical mechanics; and lots of examples of straightforward strategies the motive force for that is analyzed when it comes to details.

Contents: components of chance thought; components of knowledge idea; Transition from the overall MI to the Thermodynamic MI; The constitution of the principles of Statistical Thermodynamics; a few easy purposes.

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Extra info for A Farewell To Entropy: Statistical Thermodynamics Based On Information

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In my view, the left side is more ordered — all the blues and all the reds are separated in different boxes. On the right-hand side, they are mixed up. “Mixed-up” is certainly a disordered state, colloquially speaking. 7). Yet, one can prove that the two systems have equal entropy. The association of mixing, with increase in disorder, and hence increase in entropy, is therefore only an illusion. The trouble with the concept of order and disorder is that they are not well-defined quantities — “order” as much as “structure” and “beauty” are in the eyes of the beholder!

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. , an interpretation of the pressure in terms of the average kinetic energy of the particles, on the one hand, and the equation of state of the gas on the other, one could derive the expression for the temperature in terms of the average kinetic energy of the particles.

During the late 19th and the early 20th centuries, the molecular interpretation of the entropy was developed by Ludwig Boltzmann and by Josiah Willard Gibbs. At that time, the molecular theory of matter was far from being universally accepted. A turning point in the acceptance of the atomistic theory of matter was the publication of the theory of Brownian motion by Albert Einstein (1905) followed by the experimental corroboration by Jean Perrin (1910). As we have seen in this brief history of temperature and entropy, the concept of temperature, the various thermometers and the various scales came before the establishment of the Maxwell–Boltzmann (MB) distribution of velocities.

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