Statistical Cosmological Fermion Systems with Phantom Scalar Interaction of Particles

Ignat'ev, Yu. G.; Agathonov, A. A.; Ignatyev, D. Yu.

doi:10.1134/s0202289318010085

Cited by 22 publications

(31 citation statements)

References 18 publications

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“…As was noted in [7][8][9], the presence of a phantom field in the cosmological model for small values of the potential of the phantom field leads to the appearance of phantom bursts of super-acceleration, characterized by large values of Ω. Figure 13 shows such bursts.…”

Section: Bursts Of Cosmological Accelerationmentioning

confidence: 61%

“…Cosmological evolution of a scalar doublet with the parameters listed in Eq. (4) and the initial conditions listed in Eq (7). in the plane of the potentials {Φ, ϕ}.…”

mentioning

confidence: 99%

“…(Cosmological evolution of the physical characteristics of the cosmological model with the parameters listed in Eq. (4)and the initial conditions listed in Eq (7)…”

mentioning

confidence: 99%

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Qualitative and Numerical Analysis of a Cosmological Model Based on an Asymmetric Scalar Doublet with Minimal Connections. IV. Numerical Modeling and Types of Behavior of the Model

Ignat'ev

Kokh

2019

Russ Phys J

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On the basis of a qualitative and numerical analysis of a cosmological model based on an asymmetric scalar doublet of nonlinear, minimally interacting scalar fields -one classical and one phantom, peculiarities of the behavior of the model near zero energy hypersurfaces have been revealed. Numerical models have been constructed, in which the dynamical system has limit cycles on the zero-energy hypersurfaces. Three types of behavior of the cosmological model have been distinguished, configured by the fundamental constants of the scalar fields and the initial conditions. It is shown that over a wide sector of values of the fundamental constants and initial conditions, the cosmological models have a tendency to adhere to the zero-energy hypersurfaces corresponding to 4-dimensional Euclidean space.

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Section: Bursts Of Cosmological Accelerationmentioning

confidence: 61%

“…Cosmological evolution of a scalar doublet with the parameters listed in Eq. (4) and the initial conditions listed in Eq (7). in the plane of the potentials {Φ, ϕ}.…”

mentioning

confidence: 99%

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Qualitative and Numerical Analysis of a Cosmological Model Based on an Asymmetric Scalar Doublet with Minimal Connections. IV. Numerical Modeling and Types of Behavior of the Model

Ignat'ev

Kokh

2019

Russ Phys J

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“…The mathematical models of scalar fields constructed in this way were applied to a study of the cosmological evolution of systems of interacting particles and scalar fields, both of the canonical and phantom types [21][22][23]. These studies revealed unique features of the cosmological evolution of a plasma with phantom scalar particles' interaction, such as the existence of giant bursts of cosmological acceleration, the presence of a plateau with constant acceleration, and other anomalies that sharply distinguish the behavior of cosmological models with a phantom scalar field from models with a canonical scalar field.…”

Section: Introductionmentioning

confidence: 99%

“…The paper [23] analyzes the types of behavior of cosmological models based on a scalarly charged system of degenerate fermions with a quadratic interaction potential and identifies 4 main types of behavior that allow, among other things, for intermediate nonrelativistic and ultrarelativistic expansion stages. Let us note that intermediate nonrelativistic stages of cosmological expansion are a necessary condition for the emergence of a large-scale structure of the Universe as a result of the development of gravitational instability.…”

Section: Introductionmentioning

confidence: 99%

Cosmological Evolution of a Statistical System of Degenerate Scalarly Charged Fermions with an Asymmetric Scalar Doublet. I. Two-Component System of Assorted Charges

2021

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Based on the mathematical model of a statistical system with scalar interaction of fermions, formulated earlier, a cosmological model based on a two-component statistical system of scalarly charged degenerate fermions interacting with an asymmetric scalar doublet of canonical and phantom scalar fields, is investigated. The asymptotic and limiting properties of the cosmological model are investigated, and it is shown that amon g all models there is a class of those with finite lifetime. The asymptotic behavior of the models near the corresponding singularities is investigated, and numerical implementations of such models are constructed.

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Complete cosmological model based on an asymmetric scalar Higgs doublet

Ignat'ev

Kokh

2021

Theor Math Phys

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A mathematical model of the evolution of the Universe, based on an asymmetric doublet of classical and phantom scalar Higgs fields with a kinetic connection between the components, has been constructed and studied. A detailed qualitative analysis was carried out, the properties of the model's symmetry and invariance with respect to the similarity transformation of fundamental constants were proven. The principles of numerical modeling are formulated and an example of numerical modeling of the evolution of the model for a specific set of fundamental constants and initial conditions is given. The asymptotic behavior of the model near cosmological singularities is studied. It is shown that the cosmological model near singularities manifests itself as an ideal fluid with an extremely rigid equation of state.

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Statistical Cosmological Fermion Systems with Phantom Scalar Interaction of Particles

Cited by 22 publications

References 18 publications

Qualitative and Numerical Analysis of a Cosmological Model Based on an Asymmetric Scalar Doublet with Minimal Connections. IV. Numerical Modeling and Types of Behavior of the Model

Qualitative and Numerical Analysis of a Cosmological Model Based on an Asymmetric Scalar Doublet with Minimal Connections. IV. Numerical Modeling and Types of Behavior of the Model

Cosmological Evolution of a Statistical System of Degenerate Scalarly Charged Fermions with an Asymmetric Scalar Doublet. I. Two-Component System of Assorted Charges

Complete cosmological model based on an asymmetric scalar Higgs doublet

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