Search results for "Multi field"

showing 2 items of 2 documents

Slow-roll corrections in multi-field inflation: a separate universes approach

2018

In view of cosmological parameters being measured to ever higher precision, theoretical predictions must also be computed to an equally high level of precision. In this work we investigate the impact on such predictions of relaxing some of the simplifying assumptions often used in these computations. In particular, we investigate the importance of slow-roll corrections in the computation of multi-field inflation observables, such as the amplitude of the scalar spectrum $P_\zeta$, its spectral tilt $n_s$, the tensor-to-scalar ratio $r$ and the non-Gaussianity parameter $f_{NL}$. To this end we use the separate universes approach and $\delta N$ formalism, which allows us to consider slow-roll…

DYNAMICSCosmology and Nongalactic Astrophysics (astro-ph.CO)ComputationFOS: Physical sciencesCMB01 natural sciences114 Physical sciences0103 physical sciencesStatistical physicsinflationMULTICOMPONENT INFLATON010303 astronomy & astrophysicsPhysicsSPECTRUMSlow roll010308 nuclear & particles physicsEquations of motionCONSTRAINTSAstronomy and AstrophysicsObservableCOSMOLOGICAL PERTURBATIONSEXPANSION115 Astronomy Space scienceAmplitudeHypersurfacecosmological perturbation theoryCompact formMulti field2ND-ORDERAPPROXIMATIONGENERATIONAstrophysics - Cosmology and Nongalactic Astrophysics
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Coupled Multi-Field Continuum Methods for Porous Media Fracture

2015

The focus of the present contribution is on the numerical modelling of hydraulic fracture in fluid-saturated heterogeneous materials, which can be carried out on a macroscopic scale using extended continuum porous media theories. This accounts for the crack nucleation and propagation, deformation of the solid matrix and change in the flow of the interstitial fluid. In particular, fluid-saturated porous materials basically represent volumetrically interacting solid-fluid aggregates, which are modelled using the Theory of Porous Media. The hydraulic- or tension-induced fracture occurs in the solid matrix and is simulated using a diffusive phase-field modelling approach. This way of fracture t…

Physics::Fluid DynamicsMaterials sciencePartial differential equationContinuum (measurement)Macroscopic scaleRepresentative elementary volumeNucleationMulti fieldMechanicsFracture treatmentPorous mediumPhysics::Geophysics
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