Dynamics of solutions of a fractional NLS system with quadratic interaction

2021 ◽  
Vol 62 (8) ◽  
pp. 081504
Author(s):  
Amin Esfahani
Keyword(s):  
Quadratic Interaction

Extension of Standard Model in multi-spinor field formalism — Visible and dark sectors

2016 ◽  
Vol 31 (18) ◽  
pp. 1630027
Author(s):  
Ikuo S. Sogami
Keyword(s):  
Dark Matter ◽  
Standard Model ◽  
Dark Sector ◽  
Quadratic Interaction ◽  
Inflationary Phase ◽  
The Standard Model ◽  
Visible Sector ◽  
Field Formalism ◽  
Main Component ◽  
Higgs Fields

With multi-spinor fields which behave as triple-tensor products of the Dirac spinors, the Standard Model is extended so as to embrace three families of ordinary quarks and leptons in the visible sector and an additional family of exotic quarks and leptons in the dark sector of our Universe. Apart from the gauge and Higgs fields of the Standard Model symmetry G, new gauge and Higgs fields of a symmetry isomorphic to G are postulated to exist in the dark sector. It is the bi-quadratic interaction between visible and dark Higgs fields that opens a main portal to the dark sector. Breakdowns of the visible and dark electroweak symmetries result in the Higgs boson with mass 125 GeV and a new boson which can be related to the diphoton excess around 750 GeV. Subsequent to a common inflationary phase and a reheating period, the visible and dark sectors follow weakly-interacting paths of thermal histories. We propose scenarios for dark matter in which no dark nuclear reaction takes place. A candidate for the main component of the dark matter is a stable dark hadron with spin 3/2, and the upper limit of its mass is estimated to be 15.1 GeV/c2.

scholarly journals The validity of modulation equations for extended systems with cubic nonlinearities

1992 ◽  
Vol 122 (1-2) ◽  
pp. 85-91 ◽  
Author(s):  
Pius Kirrmann ◽  
Guido Schneider ◽  
Alexander Mielke
Keyword(s):  
Gordon Equation ◽  
Landau Equation ◽  
Hyperbolic Problems ◽  
Sine Gordon Equation ◽  
Ginzburg Landau ◽  
Modulation Equation ◽  
Modulation Equations ◽  
Quadratic Interaction ◽  
Long Time ◽  
Dissipative Case

SynopsisModulation equations play an essential role in the understanding of complicated systems near the threshold of instability. Here we show that the modulation equation dominates the dynamics of the full problem locally, at least over a long time-scale. For systems with no quadratic interaction term, we develop a method which is much simpler than previous ones. It involves a careful bookkeeping of errors and an estimate of Gronwall type.As an example for the dissipative case, we find that the Ginzburg–Landau equation is the modulation equation for the Swift–Hohenberg problem. Moreover, the method also enables us to handle hyperbolic problems: the nonlinear Schrodinger equation is shown to describe the modulation of wave packets in the Sine–Gordon equation.

Investigation of systems with quadratic interaction by the method of functional derivatives

1979 ◽  
Vol 41 (2) ◽  
pp. 1020-1028 ◽  
Author(s):  
A. I. Ivanov ◽  
G. S. Lomakin ◽  
O. A. Ponomarev
Keyword(s):  
Functional Derivatives ◽  
Quadratic Interaction

scholarly journals Флуктуационно-диссипативная теорема и частотные моменты функций реакции плотной плазмы на электромагнитное поле

2022 ◽  
Vol 92 (2) ◽  
pp. 225
Author(s):  
Г.А. Павлов
Keyword(s):  
Magnetic Field ◽  
Constant Magnetic Field ◽  
Electromagnetic Waves ◽  
Dense Plasma ◽  
Coulomb Systems ◽  
Quadratic Functions ◽  
Nonlinear Phenomena ◽  
Reaction Functions ◽  
Frequency Moments ◽  
Quadratic Interaction

The fluctuation-dissipative theorem and frequency moments for quadratic functions of the reaction of a dense plasma in a constant magnetic field to an electromagnetic field are considered. The frequency moments of the corresponding correlation functions are studied. A model approach is proposed to calculate quadratic reaction functions that determine nonlinear phenomena caused by the quadratic interaction of electromagnetic waves in a dense charged medium (Coulomb systems, plasma) in a constant magnetic field. Keywords: dense plasma, nonlinear fluctuation-dissipative theorem, quadratic reaction functions, nonlinear phenomena.

scholarly journals 153 Impacts of two energy sources (modified soy oil and medium chain triglycerides) on growth performance and health of nursery pigs

2019 ◽  
Vol 97 (Supplement_2) ◽  
pp. 89-89
Author(s):  
Sara Ebarb ◽  
Richard Faris ◽  
Junmei Zhao ◽  
Sabrina Williams ◽  
Kathryn Price
Keyword(s):  
Growth Performance ◽  
Palm Kernel ◽  
Soy Oil ◽  
Performance Parameters ◽  
Medium Chain Triglycerides ◽  
Linear Interaction ◽  
Nursery Pigs ◽  
Medium Chain ◽  
Quadratic Interaction ◽  
Health Parameters

Abstract This study evaluated the effects of a modified soy oil (MSO) in diets with or without medium chain triglycerides from palm kernel oil (MCT). The study utilized 1,840 pigs (~19 d of age; 5.4 ± 0.2 kg), 10 pens/treatment, and ~22 pigs/pen. Two barns were blocked separately by pen location and randomly allocated to treatments. Treatments were arranged as a 2 × 4 factorial utilizing diets containing one of four levels of MSO (0, 0.15, 0.25, or 0.40%) and two levels of MCT [without vs with (0.50% d 0 to 7; 0.25% d 7 to 41)]. Pen weights were obtained on d 0, 7, 23, and 41 post-weaning, mortalities and removals were tracked, and growth performance parameters were calculated. Constructed contrasts were: linear and quadratic main effects of MSO, main effect of MCT, and all possible interactions. Overall (d 0 to 41), there was a quadratic interaction (P < 0.01) between MSO and MCT for G:F (without MCT: 0.78, 0.78, 0.79, 0.76; with MCT: 0.78, 0.77, 0.78, 0.78 kg/kg). For growth performance parameters, no other interactions were significant (P > 0.10). Addition of MSO linearly increased (P < 0.01) d 41 BW (19.8, 20.3, 20.5, 20.8 kg), ADG (0.34, 0.35, 0.36, 0.37 kg/d), and ADFI (0.43, 0.46, 0.45, 0.48 kg/d). Including MCT in diets reduced (P < 0.05) d 41 BW (20.6, 20.1 kg), ADG (0.36, 0.35 kg/d), and ADFI (0.46, 0.45 kg/d). Probability of resulting in mortality and removals was linearly reduced (P < 0.01; 13.0, 8.2, 9.5, 6.6%) as MSO increased in the diet. A tendency for a linear interaction (P < 0.10) for probability of receiving injectable antibiotics was observed. The addition of MSO improved growth performance and health parameters, while MCT reduced the growth performance and did not impact health parameters of nursery pigs.

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