TY - GEN

T1 - Some implications of a scale invariant model of statistical mechanics to transport phenomena

AU - Sohrab, Siavash H

PY - 2009/12/1

Y1 - 2009/12/1

N2 - 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.

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.

KW - BEC

KW - Faraday line of force

KW - Lasers

KW - Quantum mechanics

KW - Super-fluidity

KW - Superconductivity

KW - TOE

UR - http://www.scopus.com/inward/record.url?scp=74949088312&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74949088312&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:74949088312

SN - 9789604740970

T3 - Proceedings of the 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference

SP - 557

EP - 568

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

T2 - 13th WSEAS International Conference on Systems - Held as part of the 13th WSEAS CSCC Multiconference

Y2 - 22 July 2009 through 24 July 2009

ER -