The growth factor of matter perturbations in f(R) gravity

Fu, Xiangyun; Wu, Puxun; Yu, Hongwei

doi:10.1140/epjc/s10052-010-1324-4

Cited by 33 publications

(15 citation statements)

References 109 publications

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“…As a preliminary application of TAMMBER, we have investigated the capture of mono-interstitial dumbbell defects 35 by C15 tetra-interstitial clusters 36 using an embedded atom potential model of iron 37 . C15 clusters have FIG.…”

Section: B Interstitial Capture By C15 Clusters In Ironmentioning

confidence: 99%

Self-optimized construction of transition rate matrices from accelerated atomistic simulations with Bayesian uncertainty quantification

Swinburne

Pérez

2018

Phys. Rev. Materials

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A massively parallel method to build large transition rate matrices from temperature accelerated molecular dynamics trajectories is presented. Bayesian Markov model analysis is used to estimate the expected residence time in the known state space, providing crucial uncertainty quantification for higher scale simulation schemes such as kinetic Monte Carlo or cluster dynamics. The estimators are additionally used to optimize where exploration is performed and the degree of temperature acceleration on the fly, giving an autonomous, optimal procedure to explore the state space of complex systems. The method is tested against exactly solvable models and used to explore the dynamics of C15 interstitial defects in iron. Our uncertainty quantification scheme allows for accurate modeling of the evolution of these defects over timescales of several seconds.

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Section: B Interstitial Capture By C15 Clusters In Ironmentioning

confidence: 99%

Self-optimized construction of transition rate matrices from accelerated atomistic simulations with Bayesian uncertainty quantification

Swinburne

Pérez

2018

Phys. Rev. Materials

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“…Since the migration energies for clusters must necessarily be evaluated using the inter-atomic potential, for consistency, the inter-atomic potential value is also adopted in the case of the single vacancy. Density functional theory (DFT) calculations for the migration energy of the single vacancy give values between 0.64 eV [32] and 0.67 eV [33]; experimental values are reported to be 0.55 or 0.57 eV [34]. Mendelev's potential gives 0.63 eV [31], which is sort of intermediate between experimental and DFT values.…”

Section: Diffusivitymentioning

confidence: 99%

Simulation of the nanostructure evolution under irradiation in Fe–C alloys

Jansson

Malerba

2013

Journal of Nuclear Materials

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O. Box 43 (Pehr Kalms gata 2), FI-00014 University of Helsinki, Finland h i g h l i g h t sWe can model the accumulation of radiation damage in Fe-C. The effect of carbon is to form C-vacancy complexes that in turn trap SIA clusters. The model was successfully used to simulate irradiation at <370 K and post-irradiation annealing. a b s t r a c tNeutron irradiation induces in steels nanostructural changes, which are at the origin of the mechanical degradation that these materials experience during operation in nuclear power plants. Some of these effects can be studied by using as model alloy the iron-carbon system.The Object Kinetic Monte Carlo technique has proven capable of simulating in a realistic and quantitatively reliable way a whole irradiation process. We have developed a model for simulating Fe-C systems using a physical description of the properties of vacancy and self-interstitial atom (SIA) clusters, based on a selection of the latest data from atomistic studies and other available experimental and theoretical work from the literature. Based on these data, the effect of carbon on radiation defect evolution has been largely understood in terms of formation of immobile complexes with vacancies that in turn act as traps for SIA clusters. It is found that this effect can be introduced using generic traps for SIA and vacancy clusters, with a binding energy that depends on the size of the clusters, also chosen on the basis on previously performed atomistic studies.The model proved suitable to reproduce the results of low (<350 K) temperature neutron irradiation experiments, as well as the corresponding post-irradiation annealing up to 700 K, in terms of defect cluster densities and size distribution, when compared to available experimental data from the literature. The use of traps proved instrumental for our model.

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“…They report data of the growth rate f at low redshift or its combination with the rms matter fluctuations at 8h −1 Mpc (σ 8 ) and the matter power spectrum for a large range of k. We can use them to test the concordance cosmology model ΛCDM and modified gravity theories such as f (R) [51][52][53][54][55][56]. Furthermore, WMAP and Planck spacecraft provide us accurate data of the anisotropy of CMB, which can also be used to constrain different gravity models.…”

Section: Observationsmentioning

confidence: 99%

Large scale structure formation in Eddington-inspired Born-Infeld gravity

2014

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We study the large scale structure formation in Eddington-inspired Born-Infeld (EiBI) gravity. It is found that the linear growth of scalar perturbations in EiBI gravity deviates from that in general relativity for modes with large wave numbers (k), but the deviation is largely suppressed with the expansion of the Universe. We investigate the integrated Sachs-Wolfe effect in EiBI gravity, and find that its effect on the angular power spectrum of the anisotropy of the cosmic microwave background (CMB) is almost the same as that in the Lambda-cold dark matter (ΛCDM) model. We further calculate the linear matter power spectrum in EiBI gravity and compare it with that in the ΛCDM model. Deviation is found on small scales (k 0.1h Mpc −1 ), which can be tested in the future by observations from galaxy surveys.

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The growth factor of matter perturbations in f(R) gravity

Cited by 33 publications

References 109 publications

Self-optimized construction of transition rate matrices from accelerated atomistic simulations with Bayesian uncertainty quantification

Self-optimized construction of transition rate matrices from accelerated atomistic simulations with Bayesian uncertainty quantification

Simulation of the nanostructure evolution under irradiation in Fe–C alloys

Large scale structure formation in Eddington-inspired Born-Infeld gravity

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