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

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.

2019 ◽  
Vol 489 (6) ◽  
pp. 545-551
Author(s):  
E. V. Radkevich ◽  
O. A. Vasil’eva ◽  
M. I. Sidorov

A model was constructed for the reconstruction of the initial stage of crystallization of binary alloys as a nonequilibrium phase transition, the mechanism of which is diffusion stratification. Numerical experiments were performed. Self-excitation of a homogeneous state by the edge control melt cooling condition.


2017 ◽  
Vol 114 (49) ◽  
pp. 12906-12909 ◽  
Author(s):  
Ricard Alert ◽  
Pietro Tierno ◽  
Jaume Casademunt

Mixed-order phase transitions display a discontinuity in the order parameter like first-order transitions yet feature critical behavior like second-order transitions. Such transitions have been predicted for a broad range of equilibrium and nonequilibrium systems, but their experimental observation has remained elusive. Here, we analytically predict and experimentally realize a mixed-order equilibrium phase transition. Specifically, a discontinuous solid–solid transition in a 2D crystal of paramagnetic colloidal particles is induced by a magnetic field H. At the transition field Hs, the energy landscape of the system becomes completely flat, which causes diverging fluctuations and correlation length ξ∝|H2−Hs2|−1/2. Mean-field critical exponents are predicted, since the upper critical dimension of the transition is du=2. Our colloidal system provides an experimental test bed to probe the unconventional properties of mixed-order phase transitions.


A systematic search is made for semiconductor models displaying non-equilibrium phase transitions induced by recombination and generation processes. Formal conditions are elaborated for some typical classes of reaction kinetic models with a phase transition. Under this aspect various recombination and generation mechanisms involving electrons, holes and traps are surveyed systematically, and subsequently two new classes of band–trap models exhibiting first and second order phase transitions, respectively, are constructed.


1993 ◽  
Vol 08 (33) ◽  
pp. 3151-3163 ◽  
Author(s):  
PAULO F. BEDAQUE ◽  
ASHOK DAS

We study the dynamics of a second order phase transition in a situation that mimics a sudden quench to a temperature below the critical temperature in a model with dynamical symmetry breaking. In particular we show that the domains of correlated values of the condensate grow as [Formula: see text] and that this result seems to be largely model-independent.


2019 ◽  
Vol 61 (10) ◽  
pp. 1831
Author(s):  
В.А. Марихин ◽  
С.А. Гурьева ◽  
Л.П. Мясникова ◽  
Б.З. Волчек ◽  
Д.А. Медведева

The kinetics of the structural first order phase transition in the tetracosane С24Н50 monodisperse samples is studied with the help of FTIR spectroscopy. The temperature dependencies of the frequency and intensity of rocking (ν~ 720 cm-1) and bending (ν~ 1470 cm-1) vibrations of СН2-groupes in the methylene trans-sequences in the crystalline cores of the elementary lamellae are investigated. It is shown that the first order solid phase transition is developing on a heterogeneous mechanism in the narrow temperature interval (T~ 2 K) according to the theory of the diffused first order phase transitions and is due to the crystalline cell symmetry change.


2014 ◽  
Vol 24 (3S2) ◽  
Author(s):  
Chu Thuy Anh ◽  
Dao Hong Lien ◽  
Nguyen Tri Lan ◽  
Nguyen Ai Viet

The econophysics methods are used to study the financial fluctuation of Hanoi Stock Exchange (HNX) and Hochiminh Stock Exchange (HSX) in comparison to Dow John Industrial Average's one. The study has been made both on panic period (2007-2008) and on normal time of theses stocks. The results point out that for the period under consideration, the distribution of returns tends to be Student distribution. There exists an analogy between non-equilibrium phase transitions and financial market movement. Thus it is hypothesized that financial markets undergo self-organizing when the external volatility perception rises above some critical value, the distribution of signs of returns is to be similar to a second order phase transition. The results obtained by econophysics method have quite good agreement with the ones obtained by other economy analyzation methods.


Author(s):  
N. V. Larcher ◽  
I. G. Solorzano

It is currently well established that, for an Al-Ag alloy quenched from the α phase and aged within the metastable solvus, the aging sequence is: supersaturated α → GP zones → γ’ → γ (Ag2Al). While GP zones and plate-shaped γ’ are metastable phases, continuously distributed in the matrix, formation of the equilibrium phase γ takes place at grain boundaries by discontinuous precipitation (DP). The crystal structure of both γ’ and γ is hep with the following orientation relationship with respect to the fee α matrix: {0001}γ′,γ // {111}α, <1120>γ′,γ, // <110>α.The mechanisms and kinetics of continuous matrix precipitation (CMP) in dilute Al-Ag alloys have been studied in considerable detail. The quantitative description of DP kinetics, however, has received less attention. The present contribution reports the microstructural evolution resulting from aging an Al-Ag alloy with Ag content higher than those previously reported in the literature, focusing the observations of γ' plate-shaped metastable precipitates.


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