Dynamical systems analysis of a 
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-essence model

Chakraborty, A.; Ghosh, Anandamohan; Banerjee, Narayan

doi:10.1103/physrevd.99.103513

Cited by 24 publications

(17 citation statements)

References 34 publications

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“…For invertible maps such propagator always exists and it is given by V t,s = Λ t Λ −1 s . Maps which are not invertible require special treatment [13,14] (for a recent review of various concepts of divisibility for quantum channels and dynamical maps see [15]). Now, being divisible one calls Λ t P-divisible if V t,s is positive and trace-preserving, and CP-divisible if V t,s is CPTP.…”

Section: Introductionmentioning

confidence: 99%

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Dissipative generators, divisible dynamical maps, and the Kadison-Schwarz inequality

Chruściński

Mukhamedov

2019

Phys. Rev. A

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Section: Introductionmentioning

confidence: 99%

“…Left panel: the convex body satisfying(14). Middle panel: the intersection with the plane p1 + p2 + p3 = 1.…”

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confidence: 99%

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Dissipative generators, divisible dynamical maps, and the Kadison-Schwarz inequality

Chruściński

Mukhamedov

2019

Phys. Rev. A

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“…[24][25][26][27] The case of Brownian dynamics requires more elaborate considerations and more sophisticated approaches. [28][29][30][31][32][33][34][35] Indeed, because of the presence of the fluctuating thermal bath, energy barriers can be overcome through activated hopping processes nonexistent in the energy-conserving case. A variety of scenarios results, depending on space dimension and statistics of the random energy landscape.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of fluids in quenched-random potential energy landscapes: a mode-coupling theory approach

Konincks

Krakoviack

2017

Soft Matter

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Motivated by a number of recent experimental and computational studies of the dynamics of fluids plunged in quenched-disordered external fields, we report on a theoretical investigation of this topic within the framework of the mode-coupling theory, based on the simple model of the hard-sphere fluid in a Gaussian random field. The possible dynamical arrest scenarios driven by an increase of the disorder strength and/or of the fluid density are mapped, and the corresponding evolutions of time-dependent quantities typically used for the characterization of anomalous self-diffusion are illustrated with detailed computations. Overall, a fairly reasonable picture of the dynamics of the system at hand is outlined, which in particular involves a non-monotonicity of the self-diffusion coefficient with fluid density at fixed disorder strength, in agreement with experiments. The disorder correlation length is shown to have a strong influence on the latter feature.

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“…Hence, it was possible to cross-check the implementations and after tuning the parameters to reach similar precisions, verify that the results were virtually identical, and next to focus on nuclear reaction rate uncertainties. Leaving aside, the "lithium problem" that has not yet found a fully satisfactory solution (Fields, 2011), it has become essential to improve the precision on deuterium and 4 He primordial abundances ( 3 He is not pertinent here). As nuclear uncertainties affecting deuterium BBN have already been investigated recently Gómez Iñesta et al, 2017;Iliadis et al, 2016), we will just summarize the situation.…”

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confidence: 99%

Precision big bang nucleosynthesis with improved Helium-4 predictions

et al. 2018

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Primordial nucleosynthesis is one of the three historical evidences for the big bang model, together with the expansion of the universe and the cosmic microwave background. There is a good global agreement between the computed primordial abundances of helium-4, deuterium, helium-3 and their values deduced from observations. Now that the number of neutrino families and the baryonic densities have been fixed by laboratory measurements or CMB observations, the model has no free parameter and its predictions are rigid. Since this is the earliest cosmic process for which we a priori know all the physics involved, departure from its predictions could provide hints or constraints on new physics or astrophysics in the early universe. Precision on primordial abundances deduced from observations has recently been drastically improved and reach the percent level for both deuterium and helium-4. Accordingly, the BBN predictions should reach the same level of precision. For most isotopes, the dominant sources of uncertainty come from those on the laboratory thermonuclear reactions. This article focuses on helium-4 whose predicted primordial abundance depends essentially on weak interactions which control the neutron-proton ratio. The rates of the various weak interaction processes depend on the experimentally measured neutron lifetime, but also includes numerous corrections that we thoroughly investigate here. They are the radiative, zero-temperature, corrections, finite nucleon mass corrections, finite temperature radiative corrections, weak-magnetism, and QED plasma effects, which are for the first time all included and calculated in a self consistent way, allowing to take into account the correlations between them, and verifying that all satisfy detailed balance. Finally, we include the incomplete neutrino decoupling and claim to reach a 10 −4 accuracy on the helium-4 predicted mass fraction of 0.24709 ± 0.00017 (when including the uncertainty on the neutron lifetime). In addition, we provide a Mathematica primordial nucleosynthesis code that incorporates, not only these corrections but also a full network of reactions, using the best available thermonuclear reaction rates, allowing the predictions of primordial abundances of helium-4, deuterium, helium-3 and lithium-7 but also of heavier isotopes up to the CNO region. * Electronic address: pitrou@iap.fr † Electronic address: coc@csnsm.in2p3.fr ‡ Electronic address: uzan@iap.fr § Electronic address: vangioni@iap.fr G. Finite nucleon mass corrections 21 H. Weak magnetism 23 I. Effect of incomplete neutrino decoupling 23 J. Total correction to the weak rates 23 IV. Nucleosynthesis 23 A. Thermonuclear reaction rates 24 B. General form 24 C. Nuclear network and reaction rates uncertainties 25 V. Numerical results 28 A. Overview of PRIMAT 28 B. Temperature of nucleosynthesis 29 C. Effect of corrections on abundances 29 D. Dependence on main parameters 32 E. Distribution of abundance predictions 33 F. Comparison with observations 33 VI. Cosmology with BBN 36 A. Cosmological pert...

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Dynamical systems analysis of a k -essence model

Cited by 24 publications

References 34 publications

Dissipative generators, divisible dynamical maps, and the Kadison-Schwarz inequality

Dissipative generators, divisible dynamical maps, and the Kadison-Schwarz inequality

Dynamics of fluids in quenched-random potential energy landscapes: a mode-coupling theory approach

Precision big bang nucleosynthesis with improved Helium-4 predictions

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