Some implications of a scale invariant model of statistical mechanics to transport phenomena

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations

Abstract

Some implications of a scale invariant model of statistical mechanics to transport phenomena in general and the iso-spin diffusion in connection to the Onsager's reciprocity principle and the modified Helmholtz vorticity equation are discussed. The invariant forms of mass, energy, linear momentum, and angular momentum conservation equations are derived from an invariant Enskog equation of change. A scale invariant definition of Reynolds number is introduced as Reβ0 = (Lw)/ (λxβ-1vxβ-1) and applied to describe the phenomena of super-fluidity, BEC, superconductivity, and super-luminosity (laser action) as transitions from turbulent (strongly dissipative) to laminar (weakly dissipative) flows at molecular-, atomic-, electro-, and chromo-dynamic scales, respectively. Also, a scale-invariant model of "particle" wave amplification by simulated emission of particles parallel to laser phenomenon is introduced. Finally, a model of Faraday line of force as strings of electrons and positrons is described that is in harmony with the perceptions of Dirac.

Original languageEnglish (US)
Title of host publicationProceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference
Pages557-568
Number of pages12
StatePublished - Dec 1 2009
Event13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference - Rodos, Greece
Duration: Jul 22 2009Jul 24 2009

Publication series

NameProceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference

Other

Other13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference
CountryGreece
CityRodos
Period7/22/097/24/09

Keywords

  • BEC
  • Faraday line of force
  • Lasers
  • Quantum mechanics
  • Super-fluidity
  • Superconductivity
  • TOE

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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  • Cite this

    Sohrab, S. H. (2009). Some implications of a scale invariant model of statistical mechanics to transport phenomena. In Proceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference (pp. 557-568). (Proceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference).