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  • Other Sources  (7)
  • 523  (5)
  • 551.8  (1)
  • Isotopengeophysik  (1)
  • Univ. Frankfurt (Main)  (4)
  • Univ. Bielefeld  (3)
  • English  (7)
  • 1
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    Univ. Bielefeld
    Publication Date: 2020-10-07
    Description: In this thesis we apply methods from statistical physics to stochastic inflation. Those methods, the replica field theory and the Gaussian variational methods, have to our knowledge never been applied before in this context, and allow us to compute the power spectrum of a scalar test field in the most general set-up. It provides a framework to perform calculations in regions of arbitrarily large quantum fluctuations and may also serve as a starting point to address the issue of back reaction. We first give an introduction to cosmological inflation, cosmological perturbation theory and cosmic microwave background anisotropies. Then we explain the idea of stochastic inflation, including some detailed derivations, and give an overview over major progress in this field. This is followed by an introduction to replica field theory, presented in a way directly applicable to stochastic inflation. Our work continues with a detailed calculation of the power spectrum of a scalar test field in a Friedmann Universe. We show the effect of the quantum fluctuations on the spectrum and derive explicit expressions showing its dependence on time and other important parameters. The effect of self-interactions and possible effects on the cosmic microwave background are discussed. We conclude with a summary of our results and give an outlook. One part of our major results has been published in Phys. Rev. D 78, 103501 (2008), where for the first time we present a replica field-theoretical approach to stochastic inflation in which we find a manifestation of the phenomena of so-called dimensional reduction. It implies under certain conditions inevitable infra-red divergencies of correlation functions on large-scales. These conditions are examined in detail in Phys. Rev. D 79, 44009 (2009), where we find that generically for a wide class of circumstances the divergencies are pushed exponentially fast well beyond observable scales ...
    Description: thesis
    Keywords: 523 ; TA 100 ; TEC 000 ; Theoretische Grundlagen {Astronomie} ; Kosmologie {Astronomie}
    Language: English
    Type: monograph , publishedVersion
    Format: 132 S.
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  • 2
    Publication Date: 2021-03-29
    Description: Neutron stars are very dense objects. One teaspoon of their material would have a mass of five billion tons. Their gravitational force is so strong that if an object were to fall from just one meter high it would hit the surface of the respective neutron star at two thousand kilometers per second. In such dense bodies, different particles from the ones present in atomic nuclei, the nucleons, can exist. These particles can be hyperons, that contain non-zero strangeness, or broader resonances. There can also be different states of matter inside neutron stars, such as meson condensates and if the density is height enough to deconfine the nucleons, quark matter. As new degrees of freedom appear in the system, different aspects of matter have to be taken into account.The most important of them being the restoration of the chiral symmetry. This symmetry is spontaneously broken, which is a fact related to the presence of a condensate of scalar quark-antiquark pairs, that for this reason is called chiral condensate. This condensate is present at low densities and even in vacuum. It is important to remember at this point that the modern concept of vacuum is far away from emptiness. It is full of virtual particles that are constantly created and annihilated, being their existence allowed by the uncertainty principle. At very high temperature/density, when the composite particles are dissolved into constituents, the chiral consensate vanishes and the chiral symmetry is restored. To explain how and when chiral symmetry is restored in neutron stars we use a model called non-linear sigma model. This is an effective quantum relativistic model that was developed in order to describe systems of hadrons interacting via meson exchange ...
    Description: thesis
    Keywords: 523 ; THU 400 ; Pulsare, Neutronensterne {Astronomie}
    Language: English
    Type: monograph , publishedVersion
    Format: 104 S.
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  • 3
    Publication Date: 2021-03-29
    Description: This thesis deals with the analysis of presolar silicates and oxides by high resolution mass spectrometry and electron microscopy techniques. This stardust was identified by its extreme oxygen isotopic anomalies, which point to nucleosynthetic reactions in stellar interiors, in the carbonaceous chondrite Acfer 094. Isotopic, chemical and mineralogical studies on these stardust grains therefore allow the testing of astrophysical questions on Earth, which are otherwise only accessible by spectroscopy and theoretical models. The class of presolar silicates has been identified only six years ago in 2002, although it was known already from spectroscopic observations that silicates represent the most abundant type of dust in the galaxy. The development of the NanoSIMS was a crucial step in this respect, because this ion probe with its superior spatial resolution of only 50 nm allowed the detection of the typically 300 nm sized presolar silicates. A total of 142 presolar silicates and 20 presolar oxides were identified within Acfer 094, whose matrix therefore contains 163 ± 14 ppm presolar silicates and 26 ± 6 ppm presolar oxides. This is among the highest amounts reported so far for any primitive solar system material. The majority of detected stardust grains derive from asymptotic giant branch stars of 1 2.5 Msun and close-to-solar or slightly lower-than-solar metallicity. However, by measuring the Si isotopic compositions of some enigmatic grains, it could be shown that there is a sub-class of presolar silicates characterized by an extreme enrichment of 17O and a moderate enhancement of 30Si relative to solar, whose origins might be explained by formation in binary stellar systems ...
    Description: thesis
    Keywords: 523 ; TJM 000 ; TII 900 ; THQ 000 ; Kosmochemie {Weltraumforschung} ; Interstellarer Staub {Astronomie: Interstellare Materie} ; Kernreaktionen in Sternen; Astrochemie {Astronomie}
    Language: English
    Type: monograph , publishedVersion
    Format: 142 S.
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  • 4
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    Univ. Bielefeld
    Publication Date: 2021-03-29
    Description: Despite the glorious successes of modern cosmology, our understanding of the cosmic substitution is still limited to a tiny fraction (a few per cents only). Accelerated expansion of the Universe, caused by the mysterious dark energy is currently the most severe crisis in cosmology, even in physics. In this dissertation, we argue that light may be shed on this crisis by means of the cosmological backreaction mechanism in the averaging problem in inhomogeneous and anisotropic space-time. Due to the non-commutation of temporal evolution and spatial averaging, the averaged Einstein tensor as the function of the perturbed metric is not trivially equal to the Einstein tensor of the averaged metric. Consequently, inhomogeneities and anisotropies (cosmic structures) influence the evolution of the background Universe. In order to obtain the quantitative information of this mechanism, we combine Buchert's non-perturbative framework with cosmological perturbation theory, calculate the relevant averaged physical observables up to third order in the comoving synchronous gauge (both temporal and spatial dependence) and discuss their gauge dependence. With the help of an integrability condition, the leading higher order contributions follow from the lower order calculations. We demonstrate that the leading contributions to all the averaged physical observables under consideration are specified completely on the boundary of the averaged domain. For any finite domain, these surface terms are nonzero in general, and thus backreaction is for real.
    Description: thesis
    Keywords: 523 ; TEC 000 ; Kosmologie {Astronomie}
    Language: English
    Type: monograph , publishedVersion
    Format: 130 S.
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  • 5
    Publication Date: 2021-03-29
    Description: Despite the good consistency of the cosmological standard model with the bulk of present observations, a number of unanticipated features have recently been detected within large-angle data of the Cosmic Microwave Background. Among these features are the anomalous alignments of the quadrupole and octopole with each other, their unexpected alignments with certain astrophysical directions (e.g. equinox, ecliptic) as well as the stubborn lack of angular autocorrelation on scales 〉 60ʿ. We pursue the idea that processes of non-linear structure formation could contribute to the large-scale anomalies via a local Rees-Sciama effect. We find that existing structures are able to produce CMB contributions up to 10^-5. For an axially symmetric setup we show that this effect does induce alignments, albeit not of the same form as extracted from the data, and that yet a Solar system effect seems preferred by the data. Moreover, we address the relationship between the intrinsic alignment of quadrupole and octopole on the one hand and the anomalous angular two-point correlation function on the other hand. We demonstrate the absence of any correlations between them and are able to exclude the joint case at high confidence with respect to recent data. This result enables us to put stringent constraints on any relevant model that exhibits an explicit axial symmetry.
    Description: thesis
    Keywords: 523 ; TBC 000 ; TBC 000 ; Radioastronomie
    Language: English
    Type: monograph , publishedVersion
    Format: 177 S.
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  • 6
    Publication Date: 2021-03-29
    Description: Concerning the Bulk Silicate Earth (BSE), the depleted mantle and the continental crust are thought to balance the budget of refractory and lithophile elements, resulting in complementary trace element patterns. However, the two high field strength elements (HFSE) Niob and Tantal appear to contradict this mass balance. All reservoirs of the silicate Earth exhibit subchondritic Nb/Ta ratios, possibly as a result of Nb depletion. The two HFSE Zr and Hf on the other hand seem not to be fractionated between the silicate reservoirs. They show more or less chondritic Zr/Hf ratios. In this study a series of orogenic eclogites from different localities was analyzed to determine their HFSE concentrations and to contribute to the question if eclogites could form a hidden reservoir to account for the mass imbalance of the BSE...
    Description: thesis
    Keywords: 551.701 ; 552.4 ; 550 ; VBN 200 ; TQE 000 ; Radiometrische Altersbestimmung ; Isotopengeophysik
    Language: English
    Type: monograph , publishedVersion
    Format: 95 Bl.
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  • 7
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    Univ. Frankfurt (Main)
    Publication Date: 2021-03-29
    Description: One possible approach to study systematically the influence of the deformation regime on the geometry of geological structures like folds and boudins is analogue modelling. For a complete understanding of the resulting structures, consideration of the third dimension is required. This PhD study deals with scaled analogue modelling under constriction and plane-strain conditions to improve our knowledge of folding and boudinage of lower crustal rocks in space and time. Plasticine is an appropriate analogue material for rocks in the lower crust. Therefore, this material was used for the experiments. The macroscopic behaviour of most types of plasticine is quite similar to rocks undergoing strain-rate softening and strain hardening regardless of the different microscopic aspects of deformation. Therefore, if one is aware that the stress exponent and viscosity increase with increasing strain, the original plasticine types used with stress exponents ranging from 5.8 to 8.0 are adequate for modelling geologic structures. The same holds for plasticine/oil mixtures. Thus, plasticine and plasticine/oil mixtures can be used to model the viscous flow of different rock types in the lower crust. If climb-accommodated dislocation creep and associated steady-state flow is assumed for the natural rocks, the plasticine/oil mixtures should be used, which flow under steady-state conditions...
    Description: thesis
    Keywords: 551.8 ; VAE 130 ; Geomechanik
    Language: English
    Type: monograph , publishedVersion
    Format: 132 S.
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