Homogeneous, nonsingular, closed Einstein-Cartan cosmological model

Teixeira, A. F. da F.

doi:10.1103/physrevd.31.2132

Cited by 10 publications

(8 citation statements)

References 9 publications

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“…In a standard QENS experiment from hydrogen rich systems one measures the dynamic structure factor [4,6],…”

Section: Dynamic Structure Factormentioning

confidence: 99%

“…This happens because the diffusion in liquids takes place in discrete diffusive jumps [1] and a corresponding model for simple liquids was formulated by Chudley, using both Schofield's semiclassical approximation [2] and Van Hove's formalism of correlation functions [3]. Following these ideas, Teixeira et al [4] extended the model for water, including vibrational and rotational degrees of freedom. As with any "spatial motion model" [5], the resulting intermediate scattering function is composed of several Lorentzians, related to different motion types.…”

Section: Introductionmentioning

confidence: 99%

“…The ability to rationalize QENS data in terms of a relatively small number of parameters makes this approach widely adopted in QENS data analysis for a variety of other systems [6,7,8,9,10,11]. Although successful, the method described in [4] requires prior information of the system, since it is essential to attribute each Lorentzians needed to represent the measured dynamics to a specific motion. A good example here is the confined water in clay minerals, where different populations of water molecules coexist [7,10].…”

Section: Introductionmentioning

confidence: 99%

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Revisiting the modeling of quasielastic neutron scattering from bulk water

Petersen

Telling²,

Kneller³

et al. 2022

EPJ Web Conf.

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Quasi-elastic neutron scattering (QENS) from bulk-water at 300 K, measured on the IRIS backscattering neutron spectrometer (ISIS, UK), is interpreted using the jump diffusion model (JDM), a “minimalistic” multi-timescale relaxation model (MRM) and molecular dynamics simulations (MD). In the case of MRM data analysis is performed in the time domain, where the relaxation of the intermediate scattering function is described by a stretched Mittag-Leffler function, Eα(−(|t|/τ)α). This function displays an asymptotic power law decay and contains the exponential relaxation function as a special case (α = 1). To further compare the two approaches, MD simulations of bulk water were performed using the SPCE force field and the resulting MD trajectories analysed using the nMoldyn software. We show that both JDM and MRM accurately describe the diffusion of bulk water observed by QENS at all length scales, and confirm that MD simulations do not fully describe the quantum effects of jump diffusion.

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“…In a standard QENS experiment from hydrogen rich systems one measures the dynamic structure factor [4,6],…”

Section: Dynamic Structure Factormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Revisiting the modeling of quasielastic neutron scattering from bulk water

Petersen

Telling²,

Kneller³

et al. 2022

EPJ Web Conf.

View full text Add to dashboard Cite

show abstract

“…The ECT finds applications in cosmology [22][23][24][25], particle theory [20,26,27] and the theory of strong interactions [28,29]. From some time past, the interest to ECT has grown in connection with the fact that torsion arises naturally in supergravity [30][31][32], Kaluza-Klein [33][34][35] and syperstring [36][37][38] theories.…”

mentioning

confidence: 99%

Nonminimally coupled scalar field and perfect fluid in Einstein–Cartan cosmology

Galiakhmetov

2012

Gen Relativ Gravit

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Exact general solutions to the Einstein-Cartan equations are obtained for spatially flat isotropic and homogeneous cosmologies with a nonminimally coupled scalar field and perfect fluid. Some effects of torsion are revealed by solving an analogous problem in general relativity. A comparative analysis of the cosmological models with and without perfect fluid is carried out in context of the Einstein-Cartan theory. The role of perfect fluid in the dynamics of models is discussed.

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“…The ECT finds applications in cosmology [23][24][25][26][27][28], particle theory [19,29,30], and the theory of strong interactions [31,32]. From some time past, the interest to ECT has grown in connection with the fact that torsion arises naturally in the supergravity [33][34][35], Kaluza-Klein [36][37][38], and syperstring [39][40][41] theories.…”

Section: Introductionmentioning

confidence: 99%

Stiff Fluid in Accelerated Universes with Torsion

Galiakhmetov

2013

Journal of Gravity

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The flat Friedmann universes filled by stiff fluid and a nonminimally coupled material scalar field with polynomial potentials of the fourth degree are considered in the framework of the Einstein-Cartan theory. Exact general solution is obtained for arbitrary positive values of the coupling constant . A comparative analysis of the cosmological models with and without stiff fluid is carried out. Some effects of stiff fluid are elucidated. It is shown that singular models with a de Sitter asymptotic and with the power-law ( 4/3 ) asymptotic at late times are possible. It is found that = 3/8 is a specific value of the coupling constant. It is demonstrated that the bouncing models without the particle horizon and with an accelerated expansion by a de Sitter law of an evolution at late times are admissible.

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Homogeneous, nonsingular, closed Einstein-Cartan cosmological model

Cited by 10 publications

References 9 publications

Revisiting the modeling of quasielastic neutron scattering from bulk water

Revisiting the modeling of quasielastic neutron scattering from bulk water

Nonminimally coupled scalar field and perfect fluid in Einstein–Cartan cosmology

Stiff Fluid in Accelerated Universes with Torsion

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