scholarly journals Gauge coupling unification in a classically scale invariant model

2016 ◽  
Vol 2016 (2) ◽  
Author(s):  
Naoyuki Haba ◽  
Hiroyuki Ishida ◽  
Ryo Takahashi ◽  
Yuya Yamaguchi
Keyword(s):  
Gauge Coupling ◽  
Scale Invariant ◽  
Invariant Model

Invariant Forms of Conservation Equations and Some Examples of Their Exact Solutions

2014 ◽  
Author(s):  
Siavash H. Sohrab
Keyword(s):  
Momentum Conservation ◽  
Enskog Equation ◽  
Cauchy Stress ◽  
Cauchy Stress Tensor ◽  
Scale Invariant ◽  
Spherical Droplet ◽  
Conservation Equations ◽  
Invariant Model ◽  
Cylindrically Symmetric ◽  
Tangential Forces

A scale-invariant model of statistical mechanics is described leading to invariant Boltzmann equation and the corresponding invariant Enskog equation of change. A modified form of Cauchy stress tensor for fluid is presented such that in the limit of vanishing intermolecular spacing all tangential forces vanish in accordance with perceptions of Cauchy and Poisson. The invariant forms of mass, thermal energy, linear momentum, and angular momentum conservation equations derived from invariant Enskog equation of change are described. Also, some exact solution of the conservation equations for the problems of normal shock, flow over a flat plate, and flow within a spherical droplet located at the stagnation point of opposed cylindrically-symmetric gaseous jets are presented.

Invariant Forms of Conservation Equations for Reactive Fields and Hydro-Thermo-Diffusive Theory of Laminar Flames

2014 ◽  
Vol 137 (1) ◽  
Author(s):  
Siavash H. Sohrab
Keyword(s):  
Angular Momentum ◽  
Propagation Speed ◽  
Premixed Flame ◽  
Laminar Flames ◽  
Enskog Equation ◽  
Scale Invariant ◽  
Propagation Models ◽  
Conservation Equations ◽  
Invariant Model ◽  
Good Agreement

A scale-invariant model of statistical mechanics is described leading to invariant Enskog equation of change that is applied to derive invariant forms of conservation equations for mass, thermal energy, linear momentum, and angular momentum in chemically reactive fields. Modified hydro-thermo-diffusive theories of laminar premixed flames for (1) rigid-body and (2) Brownian-motion flame propagation models are presented and are shown to be mathematically equivalent. The predicted temperature profile, thermal thickness, and propagation speed of laminar methane–air premixed flame are found to be in good agreement with existing experimental observations.

scholarly journals EARLY UNIVERSE SOURCES FOR CMB NON-GAUSSIANITY

2002 ◽  
Vol 17 (29) ◽  
pp. 4273-4280
Author(s):  
ALEJANDRO GANGUI
Keyword(s):  
Power Spectrum ◽  
Cosmic Microwave Background ◽  
Early Universe ◽  
Microwave Background ◽  
Scale Invariant ◽  
Invariant Model ◽  
Primordial Power Spectrum ◽  
Initial States ◽  
Non Gaussian ◽  
Inflationary Models

In the framework of inflationary models with non-vacuum initial states for cosmological perturbations, we study non-Gaussian signatures on the cosmic microwave background (CMB) radiation produced by a broken-scale-invariant model which incorporates a feature at a privileged scale in the primordial power spectrum.

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

2021 ◽  
Vol 20 ◽  
pp. 56-65
Author(s):  
Siavash H. Sohrab
Keyword(s):  
Information Theory ◽  
Statistical Mechanics ◽  
Comparative Study ◽  
Shannon Entropy ◽  
Scale Invariant ◽  
Invariant Model ◽  
Shannon's Entropy ◽  
The Third ◽  
Third Law Of Thermodynamics ◽  
Third Law

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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