Dynamics of the diffusive DM-DE interaction – Dynamical system approach

Haba, Z.; Stachowski, Aleksander; Szydłowski, Marek

doi:10.1088/1475-7516/2016/07/024

Cited by 26 publications

(31 citation statements)

References 61 publications

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“…Beyond those approaches, a unification of Dark Energy and Dark Matter using a new measure of integration (the so-called Two Measure Theories) has been formulated [21]- [25]. A diffusive interaction between dark energy and dark matter was introduced in [26]- [32] and was formulated in the context of an action principle based on a generalization of those Two Measures Theories in the context of quintessential scalar fields [27]- [28].…”

Section: Introductionmentioning

confidence: 99%

Unification of dark energy and dark matter from diffusive cosmology

2019

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Generalized ideas of unified dark matter and dark energy in the context of dynamical space time theories with a diffusive transfer of energy are studied. The dynamical space-time theories are introduced a vector field whose equation of motion guarantees a conservation of a certain Energy Momentum tensor, which may be related, but in general is not the same as the gravitational Energy Momentum tensor. This particular energy momentum tensor is build from a general combination of scalar fields derivatives as the kinetic terms, and possibly potentials for the scalar field. By demanding that the dynamical space vector field be the gradient of a scalar the dynamical space time theory becomes a theory for diffusive interacting dark energy and dark matter. These generalizations produce non-conserved energy momentum tensors instead of conserved energy momentum tensors which leads at the end to a formulation for interacting DE-DM. We solved analytically the theories and we show that the ΛCDM is a fixed point of these theories at large times. A particular case has asymptotic correspondence to previously studied non-Lagrangian formulations of diffusive exchange between dark energy dark matter. arXiv:1812.06151v2 [gr-qc]

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Section: Introductionmentioning

confidence: 99%

Unification of dark energy and dark matter from diffusive cosmology

2019

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“…One interesting suggestion was a diffusive exchange of energy between dark energy and dark matter made by Calogero [9,10], Haba et al [11], and Szydlowski and Stachowski [12], with some solution to cosmic problems. The basic notion is that the diffusion equation (or more exactly, the Fokker-Planck equation [13,14], which describes the time evolution of the probability density function of the velocity of a particle under the influence of random forces), implies a non-conserved stress energy tensor T μν , which has some current source j μ :…”

Section: Introductionmentioning

confidence: 99%

Interacting diffusive unified dark energy and dark matter from scalar fields

Benisty

Guendelman

2017

Eur. Phys. J. C

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Here we generalize ideas of unified dark matterdark energy in the context of two measure theories and of dynamical space time theories. In two measure theories one uses metric independent volume elements and this allows one to construct unified dark matter-dark energy, where the cosmological constant appears as an integration constant associated with the equation of motion of the measure fields. The dynamical space-time theories generalize the two measure theories by introducing a vector field whose equation of motion guarantees the conservation of a certain Energy Momentum tensor, which may be related, but in general is not the same as the gravitational Energy Momentum tensor. We propose two formulations of this idea: (I) by demanding that this vector field be the gradient of a scalar, (II) by considering the dynamical space field appearing in another part of the action. Then the dynamical space time theory becomes a theory of Diffusive Unified dark energy and dark matter. These generalizations produce non-conserved energy momentum tensors instead of conserved energy momentum tensors which leads at the end to a formulation of interacting DE-DM dust models in the form of a diffusive type interacting Unified dark energy and dark matter scenario. We solved analytically the theories for perturbative solution and asymptotic solution, and we show that the CDM is a fixed point of these theories at large times. Also a preliminary argument as regards the good behavior of the theory at the quantum level is proposed for both theories.

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“…In order to obtain the results in the complete model we would have to solve (numerically) equations of Section 7. The comparison of density evolution (38) with observations is discussed in [32] and in similar models with the decaying vacuum ( see [34,35] and references cited there). The model allows calculating (and compare with observations) the power spectrum resulting from thermal fluctuations which may go beyond the approximations applied in the warm inflation of [20].…”

Section: Discussionmentioning

confidence: 99%

“…has the meaning of the inverse temperature. The dependence (38) of the temperature of the diffusing system on the scale factor has been derived (for = 0 and arbitrary ) in [31][32][33] for any system with = 1 and the −3 correction (35) to the cosmological term (in eq. (38) = 1) (for timedependent cosmological term see [5,34,35]).…”

Section: A Simplified System Of a Decaying Inflatonmentioning

confidence: 99%

Statistical Physics of the Inflaton Decaying in an Inhomogeneous Random Environment

Haba

2018

Advances in High Energy Physics

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We derive a stochastic wave equation for an inflaton in an environment of an infinite number of fields. We study solutions of the linearized stochastic evolution equation in an expanding universe. The Fokker-Planck equation for the inflaton probability distribution is derived. The relative entropy (free energy) of the stochastic wave is defined. The second law of thermodynamics for the diffusive system is obtained. Gaussian probability distributions are studied in detail.

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Dynamics of the diffusive DM-DE interaction – Dynamical system approach

Cited by 26 publications

References 61 publications

Unification of dark energy and dark matter from diffusive cosmology

Unification of dark energy and dark matter from diffusive cosmology

Interacting diffusive unified dark energy and dark matter from scalar fields

Statistical Physics of the Inflaton Decaying in an Inhomogeneous Random Environment

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