Get A Farewell To Entropy PDF

By Arieh Ben-Naim

ISBN-10: 9812707077

ISBN-13: 9789812707079

The valuable message of this publication is that thermodynamics and statistical mechanics will take advantage of exchanging the unlucky, deceptive and mysterious time period "entropy" with a extra everyday, significant and applicable time period corresponding to info, lacking info or uncertainty. This alternative might facilitate the translation of the "driving strength" of many tactics when it comes to informational alterations and dispel the secret that has consistently enshrouded entropy.

it's been one hundred forty years due to the fact that Clausius coined the time period "entropy"; nearly 50 years due to the fact that Shannon built the mathematical conception of "information" -- as a consequence renamed "entropy". during this publication, the writer advocates changing "entropy" by means of "information", a time period that has turn into popular in lots of branches of technology.

the writer additionally takes a brand new and ambitious method of thermodynamics and statistical mechanics. details is used not just as a device for predicting distributions yet because the primary cornerstone inspiration of thermodynamics, held formerly by way of the time period "entropy".

the themes coated comprise the basics of chance and knowledge idea; the overall notion of knowledge in addition to the actual idea of data as utilized in thermodynamics; the re-derivation of the Sackur-Tetrode equation for the entropy of an incredible gasoline from basically informational arguments; the basic formalism of statistical mechanics; and plenty of examples of easy techniques the "driving strength" for that's analyzed when it comes to info.

Readership: someone attracted to the sciences, scholars, researchers; in addition to the layman.

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Extra info for A Farewell To Entropy

Example text

2 The Association of Entropy with Disorder During over a hundred years of the history of entropy, there have been many attempts to interpret and understand entropy. We shall discuss the two main groups of such interpretations of entropy. The earliest, and nowadays, the most common interpretation of the entropy is in terms of disorder, or any of the related concepts such as “disorganization,” “mixed-upness,” “spread of energy,” “randomness,” “chaos” and the like. Perhaps, the earliest association of changes in entropy in spontaneous processes with increase of disorder is already implied in Boltzmann’s writings.

Clearly, heat or thermal energy is transferred from the hot to the cold gas. But can we understand the changes that occur in the system in terms of disorder? We know that temperature is associated with the distribution of molecular velocities. 9). The distribution is sharper for the lower temperature gas, and is more dispersed for the higher temperature gas. 9. The heat transfer that we observed experimentally is interpreted on a molecular level as the change in the distribution of molecular velocities.

The molecular interpretation of the entropy would have to wait however, until the close of the 19th century, when the foundations of statistical mechanics were laid down by Maxwell, Boltzmann and Gibbs. What would have changed is the formal relationship between the entropy S and the number of states W . To relate the two, there will be no need to introduce a constant bearing the units of energy divided by the temperature. Boltzmann would have made the correspondence between the Clausius’ thermodynamic entropy and the statistical entropy simply by choosing a dimensionless constant, or better, leaving the base of the logarithm in the relation S = log W unspecified (it will be shown in Chapter 3 that the choice of dS = 4 As actually is the practice in many branches of physics and in statistical mechanics.

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A Farewell To Entropy by Arieh Ben-Naim

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