Nonlinear kinetic theory and pulse interactions in phase transition

2003 ◽  
Vol 18 (2) ◽  
pp. 15-18
Author(s):  
Zhang Yi-fang
Keyword(s):  
Phase Transition ◽  
Kinetic Theory ◽  
Nonlinear Kinetic

Nonlinear kinetic theory of a single helicity tearing instability

1984 ◽  
Vol 27 (8) ◽  
pp. 2043 ◽  
Author(s):  
K. Swartz ◽  
R. D. Hazeltine
Keyword(s):  
Kinetic Theory ◽  
Tearing Instability ◽  
Nonlinear Kinetic

Mathematical Topics in Nonlinear Kinetic Theory

10.1142/0688 ◽  
1989 ◽  
Author(s):  
N Bellomo ◽  
A Palczewski ◽  
G Toscani
Keyword(s):  
Kinetic Theory ◽  
Nonlinear Kinetic

Mathematical Topics in Nonlinear Kinetic Theory II

10.1142/1209 ◽  
1991 ◽  
Author(s):  
N Bellomo ◽  
M Lachowicz ◽  
J Polewczak ◽  
G Toscani
Keyword(s):  
Kinetic Theory ◽  
Nonlinear Kinetic

Physical Kinetics of Loop Quantum Gravity and Blackhole Dynamics: Kinetic Theory of Quantum Spacetime, Blackhole Phase Transition Theory and Blackhole Fission.

2015 ◽  
Vol 9 (1) ◽  
pp. 2322-2329
Author(s):  
Koustubh Kabe
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Kinetic Theory ◽  
Liquid Droplet ◽  
Equilibrium Phase ◽  
Top Physics ◽  
Experimental Tests ◽  
Spacetime Geometry ◽  
Kinetics Of ◽  
Quantum Spacetime

In the following chapter, a sincere endeavor is made to build  a physically as well as in most later aspects a mathematically simple but rigorous physical kinetics of spacetime and of blackholes. Starting with a 3-volume quantization result of the now standard Ashtekar-Lewandowski Quantum Riemannian Geometry, and based on the work of the author on time as a vortex, a 4-volume spacetime quantum, a rapidly fluctuating one is developed and the foundations seem to look shaky in the very beginning, but start to get stronger and stronger as one starts to enter the end of the section on the physical kinetics of blackholes. Thus, experimental tests and observational predictions have been made whenever seem required or appropriate for justification, examples from laboratory table-top physics provided. Once the framework of kinetic theory has been developed, the author has entered into the realm of blackhole phase transitions nucleating from backgroung spacetime as well as other blackhole phase transitions. The equations of phase transitions have been rigorously analyzed and physical interpretations and physical predictions provided. Also certain the Bardeen-Carter-Hawking standard zeroeth law of blackhole dynamics been deduced in the context of equilibrium phase transitions in blackholes. The possibility of splitting of the Kerr-Newman blackhole akin to nuclear fission is obtained. An interesting work is the conception and extensin of the stretched horizon which was constructed by Ashoke Sen in the context of unphysical extremal blackholes in string theory -to that of isolated horizons in the context of arbitrary blackholes as proposed by Rovelli . Quantum gravitational dispersion as well as diffraction of light and gravitational waves by discrete nature of quantum spacetime geometry has been predicted in phenomenology. The paper predicts the gravi-electric Meissner effect in the wake of the Galilean superconductivity in the form of locally Lorentzian spacetimes as a critical behavior in the context of a second order phase transition. The property of the blackholes to undergo fission is demonstrated in the equations of phase transitions. This is used to explain the astrophysical phenomenon of Quasars. An iso-Higgs multiplet is qualitatively predicted as basic constituents of the blackhole. A liquid droplet model is suggested to explain the newly predicted phenomenon of blackhole fission in this paper.The chapter as a whole builds the foundations of the subject of the title of the paper.

A NEW DISCRETIZED MODEL IN NONLINEAR KINETIC THEORY—THE SEMICONTINUOUS BOLTZMANN EQUATION

1991 ◽  
Vol 01 (01) ◽  
pp. 113-123 ◽  
Author(s):  
N. BELLOMO ◽  
E. LONGO
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Boltzmann Equation ◽  
Kinetic Theory ◽  
Continuous Dependence ◽  
Modeling And Analysis ◽  
Collision Invariants ◽  
The Mathematical Model ◽  
Nonlinear Kinetic ◽  
Discretized Model

This paper deals with the mathematical modeling and analysis of a new model of the Boltzmann equation with a finite number of velocity moduli, but with a continuous dependence on the velocity directions. The mathematical model is derived in the first part of the paper. Then the analysis of the equilibrium Maxwellian state is dealt with in the second part of the paper with the purpose of showing that the space of collision invariants is the correct one.

Nonlinear kinetic theory of the free-electron laser

1990 ◽  
Vol 42 (12) ◽  
pp. 7395-7400 ◽  
Author(s):  
R. Pratap ◽  
A. Sen
Keyword(s):  
Kinetic Theory ◽  
Free Electron ◽  
Free Electron Laser ◽  
Nonlinear Kinetic

scholarly journals Kinetic theory of nonequilibrium stochastic long-range systems: phase transition and bistability

2012 ◽  
Vol 2012 (12) ◽  
pp. P12010 ◽  
Author(s):  
Cesare Nardini ◽  
Shamik Gupta ◽  
Stefano Ruffo ◽  
Thierry Dauxois ◽  
Freddy Bouchet
Keyword(s):  
Phase Transition ◽  
Kinetic Theory ◽  
Long Range
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