Cosmological evolution of statistical system of scalar charged particles

Ignat'ev, Yurii; Agathonov, A. A.; Mikhailov, M. L.; Ignatyev, D. Yu.

doi:10.1007/s10509-015-2324-5

Cited by 35 publications

(44 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the basis of the stated mathematical model there was carried out numerical simulation of both degenerated Fermi systems and charge-symmetrical Boltzmann plasma consisting of scalar charged particles and antiparticles [9] [13]. These investigations revealed unique properties of the cosmological models which are based on the statistical systems of scalar charged particles with phantom scalar interaction.…”

Section: The Introductionmentioning

confidence: 99%

Qualitative and Numerical Analysis of the Cosmological Model with a Phantom Scalar Field

Ignatyev

2017

Russ Phys J

View full text Add to dashboard Cite

In this paper we investigate the asymptotic behavior of the cosmological model based on phantom scalar field on the ground of qualitative analysis of the system of the cosmological model's differential equations and show that as opposed to models with classical scalar field, such models have stable asymptotic solutions with constant value of the potential both in infinite past and infinite future. We also develop numerical models of the cosmological evolution models with phantom scalar field in this paper. keywords: cosmological model, phantom scalar field, quality analysis, asymptotic behavior, numerical simulation, numerical gravitation. PACS: 04.20. Cv, 98.80.Cq, 96.50.S 52.27.Ny This work was funded by the subsidy allocated to Kazan Federal University for the state assignment in the sphere of scientific activities. The IntroductionPreviously, there was created the cosmological model based on the statistical systems of scalar charged particle with interparticle phantom scalar interaction possessing negative kinetic energy of field [1] [8]. On the basis of the stated mathematical model there was carried out numerical simulation of both degenerated Fermi systems and charge-symmetrical Boltzmann plasma consisting of scalar charged particles and antiparticles [9] [13]. These investigations revealed unique properties of the cosmological models which are based on the statistical systems of scalar charged particles with phantom scalar interaction. However, since general results were obtained using numerical simulation methods, they hardly can be used for description of asymptotic properties of the corresponding models. Using combination of methods of the qualitative theory of ordinary differential equations and numerical integration of them, in [14]-[15] there were investigated the asymptotic properties of the standard cosmological model based on classic massive scalar field. Particularly, in these papers it is shown that the system of Einstein-Klein-Gordon equations for the homogenous space flat cosmological model has a single singular point corresponding to zero values of the scsalar field's potential and its derivative, where mentioned singular point can also be an attractive center or attractive focus, or attractive saddle. Besides, it was revealed a microscopic oscillating character of the invariant cosmological acceleration at approaching to the singular point with an average value corresponding to non-relativistic equation of state. In this paper we carry out similar investigation for the standard cosmological model based on phantom fields. In this model, as opposed to those, considered in [1] [13], we do not account contribution of the ordinary matter, i.e. we consider free phantom fields without a source.

show abstract

Section: The Introductionmentioning

confidence: 99%

Qualitative and Numerical Analysis of the Cosmological Model with a Phantom Scalar Field

Ignatyev

2017

Russ Phys J

View full text Add to dashboard Cite

show abstract

“…(6) (see Figs. [3][4][5][6]; to the parameters listed in Eq. (4) and the initial conditions listed in Eq.…”

Section: Analysis Of the Resultsmentioning

confidence: 99%

“…In this case, the singular points have the same coordinates as in the previous case (5), and the invariant characteristics σ 2 i are equal to…”

Section: General Properties Of the Phase Spacementioning

confidence: 99%

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

View full text Add to dashboard Cite

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.

show abstract

“…Let us notice, that dynamic equations (16) are reduced to ordinary differential equation of the following form:…”

Section: Discussion Of the Resutsmentioning

confidence: 99%

“…The phase poratrait of the system(16) in a large scale for the case α m = 0; Λ m = 0.0001; τ = 0 ÷ 90.…”

mentioning

confidence: 99%

Qualitative and numerical analysis of the cosmological model based on the phantom scalar ﬁeld with self-interaction. II. Comparative analysis of models of classical and phantom ﬁelds

Ignat'ev¹,

Agathonov²

2017

SPACE, TIME AND FUNDAMENTAL INTERACTIONS

View full text Add to dashboard Cite

On the basis of the qualitative analysis and numerical simulation of cosmological models with classical and phantom scalar fields with self-action there have been revealed and refined such models' distinctive features and potential possibilities for their usage as basic models in cosmology.keyword cosmological models, classical and phantom scalar fields, quality analysis, asymptotic behavior, numerical simulation, numerical gravitation PACS: 04.20. Cv, 98.80.Cq, 96.50.S 52.27.Ny This work was funded by the subsidy allocated to Kazan Federal University for the state assignment in the sphere of scientific activities.1 Let us notice that phantom fields in the context of wormholes and so-called black universes were considered in [4], [5].

show abstract

Cosmological evolution of statistical system of scalar charged particles

Cited by 35 publications

References 17 publications

Qualitative and Numerical Analysis of the Cosmological Model with a Phantom Scalar Field

Qualitative and Numerical Analysis of the Cosmological Model with a Phantom Scalar Field

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 the cosmological model based on the phantom scalar ﬁeld with self-interaction. II. Comparative analysis of models of classical and phantom ﬁelds

Contact Info

Product

Resources

About