A farewell to entropy: statistical thermodynamics based on by Arieh Ben-Naim PDF

January 31, 2018 | Thermodynamics And Statistical Mechanics | By admin | 0 Comments

By Arieh Ben-Naim

ISBN-10: 9812707069

ISBN-13: 9789812707062

The valuable message of this publication is that thermodynamics and statistical mechanics will reap the benefits of exchanging the unlucky, deceptive and mysterious time period entropy with a extra usual, significant and acceptable time period corresponding to details, lacking details or uncertainty. This alternative may facilitate the translation of the driver of many tactics when it comes to informational alterations and dispel the secret that has constantly enshrouded entropy.

it's been one hundred forty years due to the fact Clausius coined the time period entropy ; nearly 50 years on account that Shannon built the mathematical conception of data accordingly renamed entropy. during this e-book, the writer advocates exchanging entropy via info, a time period that has develop into customary in lots of branches of technology.

the writer additionally takes a brand new and ambitious method of thermodynamics and statistical mechanics. info is used not just as a device for predicting distributions yet because the basic cornerstone proposal of thermodynamics, held formerly by means of the time period entropy.

the subjects coated comprise the basics of chance and knowledge thought; the final suggestion of knowledge in addition to the actual inspiration of data as utilized in thermodynamics; the re-derivation of the Sackur Tetrode equation for the entropy of an excellent gasoline from only informational arguments; the elemental formalism of statistical mechanics; and lots of examples of easy methods the driver for that's analyzed when it comes to info.

Contents:

  • Elements of likelihood thought;
  • Elements of data idea;
  • Transition from the overall MI to the Thermodynamic MI;
  • The constitution of the rules of Statistical Thermodynamics;
  • Some uncomplicated purposes.

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Extra info for A farewell to entropy: statistical thermodynamics based on information: S=logW

Sample text

10) are not the same because different variables are held constant. Thus ∂U ∂T = p ∂U ∂T + V ∂U ∂V T ∂V ∂T . 1. 0558 cal g−1 K−1 . Here we ignore the small difference between constant volume and constant pressure for this condensed phase. What is the heat capacity of 3 kg of silver? How many Joules of energy are needed to raise the temperature of 3 kg of silver from 15 ◦ C to 25 ◦ C? 1. 0558 = 167 cal K−1 . 184 J/cal = 6990 J. We only keep three significant figures because the specific heat was only given to three figures.

The fact that one of these transformations might be impossible is related to concepts of irreversibility, which we will discuss later in the context of the second law of thermodynamics. According to the first law, as recognized by Rudolf Clausius in 1850, heat transfer accounts for energy received by the system in forms other than work. Since U can be measured and W can be determined for any mechanical process, Q is actually defined by Eq. 1). It is common to measure the amount of energy due to heat transfer in units of calories.

This is especially common3 in Europe [14] and Russia [7]. The symbol applied to any state function means the value of that function in the final state (after some process) minus the value of that function in the initial state. Specifically, U := U(final state) − U(initial state). As mentioned above, Q and W are not state functions, although their difference is a state function. As will be illustrated below, Q and W depend on the details of the process used to change the state function U. In other words, Q and W depend on the path followed during a process.

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A farewell to entropy: statistical thermodynamics based on information: S=logW by Arieh Ben-Naim


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