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

Siavash H Sohrab

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

Siavash H Sohrab

Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 Re_β0 = (L_xβw_xβ)/ (λ_xβ-1v_xβ-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 language	English (US)
Title of host publication	Proceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference
Pages	557-568
Number of pages	12
State	Published - Dec 1 2009
Event	13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference - Rodos, Greece Duration: Jul 22 2009 → Jul 24 2009

Publication series

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

Other

Other	13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference
Country	Greece
City	Rodos
Period	7/22/09 → 7/24/09

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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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).

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

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title = "Some implications of a scale invariant model of statistical mechanics to transport phenomena",

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 = (Lxβwxβ)/ (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.",

keywords = "BEC, Faraday line of force, Lasers, Quantum mechanics, Super-fluidity, Superconductivity, TOE",

author = "Sohrab, {Siavash H}",

year = "2009",

month = dec,

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language = "English (US)",

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series = "Proceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference",

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booktitle = "Proceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference",

note = "13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference ; Conference date: 22-07-2009 Through 24-07-2009",

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Sohrab, SH 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. Proceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference, pp. 557-568, 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference, Rodos, Greece, 7/22/09.

Some implications of a scale invariant model of statistical mechanics to transport phenomena. / Sohrab, Siavash H.

Proceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference. 2009. p. 557-568 (Proceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AB - 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 = (Lxβwxβ)/ (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.

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

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Y2 - 22 July 2009 through 24 July 2009

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