A scale-invariant model of statistical mechanics and modified forms of the first and the second laws of thermodynamics

Siavash H. Sohrab*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

A scale-invariant statistical theory of fields is presented that leads to invariant definition of density, velocity, temperature, and pressure. The definition of Boltzmann constant is introduced as kk = k = mk vk c = 1.381 10-23 J·K-1, suggesting that the Kelvin absolute temperature scale is equivalent to a length scale. Two new state variables called the reversible heat Qrev = TS and the reversible work Wrev = PV are introduced. The modified forms of the first and second law of thermodynamics are presented. The microscopic definition of heat (work) is presented as the kinetic energy due to the random (peculiar) translational, rotational, and pulsational motions. The Gibbs free energy of an element at scale β is identified as the total system energy at scale (β - 1), thus leading to an invariant form of the first law of thermodynamics Uβ = Qβ -Wβ + N Uβ-1.

Original languageEnglish (US)
Pages (from-to)845-853
Number of pages9
JournalInternational Journal of Thermal Sciences
Volume38
Issue number10
DOIs
StatePublished - 1999

Keywords

  • First and second laws
  • Fundamental thermodynamics
  • Invariant form
  • Statistical thermodynamics
  • Thermophysical characteristics

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering(all)

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