Some Implications of a Scale Invariant Model of Statistical Mechanics to Boltzmann versus Shannon Entropy in Thermodynamics and Information Theory

A scale invariant model of statistical mechanics is applied for a comparative study of Boltzmann’s entropy in thermodynamics versus Shannon’s entropy in information theory. The implications of the model to the objective versus subjective aspects of entropy as well as Nernst-Planck statement of the third law of thermodynamics are also discussed

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The Nernst Postulate: The Third Law of Thermodynamics

An Introduction to Statistical Mechanics and Thermodynamics ◽

10.1093/oso/9780198853237.003.0018 ◽

2019 ◽

pp. 223-228

Author(s):

Robert H. Swendsen

Keyword(s):

Statistical Mechanics ◽

Specific Heat ◽

Quantum Statistical Mechanics ◽

Thermodynamic System ◽

Zero Temperature ◽

The Third ◽

Third Law Of Thermodynamics ◽

Third Law ◽

Quantum Statistical

The Nernst postulate, or Third Law of Thermodynamics, is derived from quantum statistical mechanics. It states, ‘The entropy of a thermodynamic system goes to a constant as the temperature goes to zero.’ The main consequences are that specific heat and compressibility goes to zero as temperature goes to zero. Both are demonstrated. It is shown that, both with and without the Nernst postulate, zero temperature is not experimentally attainable. Gases are usually well behaved in this respect, but we all know from experience that molecules of H2O can clump together, form drops, and rain on us.

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Comments upon the third law of thermodynamics

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19330415 ◽

1933 ◽

Vol 5 ◽

pp. 415-423

Author(s):

V. Njegovan

Keyword(s):

The Third ◽

Third Law Of Thermodynamics ◽

Third Law

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The Third Law of Thermodynamics

10.1093/oso/9780198782957.003.0012 ◽

2018 ◽

Author(s):

Dennis Sherwood ◽

Paul Dalby

Keyword(s):

Absolute Zero ◽

The Third ◽

Third Law Of Thermodynamics ◽

Third Law ◽

The Absolute

The Third Law was introduced in Chapter 9; this chapter develops the Third Law more fully, introducing absolute entropies, and examining how adiabatic demagnetisation can be used to approach the absolute zero of temperature.

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