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Transport in nicht-hermiteschen niedrigdimensionalen Systemen / Transport in Non-Hermitian Low-Dimensional SystemsBendix, Oliver 20 September 2011 (has links)
No description available.
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Orientational order and glassy states in networks of semiflexible polymers / Orientierungsordnung und Glas-Zustände in Netzwerken aus semiflexiblen PolymerenKiemes, Martin 23 November 2010 (has links)
No description available.
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Symmetry-enriched topological states of matter in insulators and semimetalsLau, Alexander 13 March 2018 (has links)
Topological states of matter are a novel family of phases that elude the conventional Landau paradigm of phase transitions. Topological phases are characterized by global topological invariants which are typically reflected in the quantization of physical observables. Moreover, their characteristic bulk-boundary correspondence often gives rise to robust surface modes with exceptional features, such as dissipationless charge transport or non-Abelian statistics. In this way, the study of topological states of matter not only broadens our knowledge of matter but could potentially lead to a whole new range of technologies and applications. In this light, it is of great interest to find novel topological phases and to study their unique properties.
In this work, novel manifestations of topological states of matter are studied as they arise when materials are subject to additional symmetries. It is demonstrated how symmetries can profoundly enrich the topology of a system. More specifically, it is shown how symmetries lead to additional nontrivial states in systems which are already topological, drive trivial systems into a topological phase, lead to the quantization of formerly non-quantized observables, and give rise to novel manifestations of topological surface states. In doing so, this work concentrates on weakly interacting systems that can theoretically be described in a single-particle picture. In particular, insulating and semi-metallic topological phases in one, two, and three dimensions are investigated theoretically using single-particle techniques.
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Defect-induced local electronic structure modifications within the system SrO - SrTiO3 - TiO2: symmetry and disorderZschornak, Matthias 08 May 2015 (has links)
Owing to their versatile orbital character with both local and highly dispersive degrees of freedom, transition metal oxides span the range of ionic, covalent and metallic bonding. They exhibit a vast diversity of electronic phenomena such as high dielectric, piezoelectric, pyroelectric, ferroelectric, magnetic, multiferroic, catalytic, redox, and superconductive properties. The nature of these properties arises from sensitive details in the electronic structure, e.g. orbital mixing and orbital hybridization, due to non-stoichiometry, atomic displacements, broken symmetries etc., and their coupling with external perturbations.
In the work presented here, these variations of the electronic structure of crystals due to structural and electronic defects have been investigated, exemplarily for the quasi-binary system SrO - SrTiO3 - TiO2. A number of binary and ternary structures have been studied, both experimentally as well as by means of electronic modeling. The applied methods comprise Resonant X-ray Scattering techniques like Diffraction Anomalous Fine Structure, Anisotropy of Anomalous Scattering and X-ray Absorption Fine Structure, and simultaneously extensive electronic calculations by means of Density Functional Theory and Finite Difference Method Near-Edge Structure to gain a thorough physical understanding of the underlying processes, interactions and dynamics.
It is analyzed in detail how compositional variations, e.g. manifesting as oxygen vacancies or ordered stacking faults, alter the short-range order and affect the electronic structure, and how the severe changes in mechanical, optical, electrical as well as electrochemical properties evolve. Various symmetry-property relations have been concluded and interpreted on the basis of these modifications in electronic structure for the orbital structure in rutile TiO2, for distorted TiO6 octahedra and related switching mechanisms of the Ti valence, for elasticity and resistivity in strontium titanate, and for surface relaxations in Ruddlesden-Popper phases.
Highlights of the thesis include in particular the methodical development regarding Resonant X-Ray Diffraction, such as the first use of partially forbidden reflections to get the complete phase information not only of the tensorial structure factor but of each individual atomic scattering tensor for a whole spectrum of energies, as well as the determination of orbital degrees of freedom and details of the partial local density of states from these tensors.
On the material side, the most prominent results are the identification of the migration-induced field-stabilized polar phase and the exergonic redox behavior in SrTiO3 caused by defect migration and defect separation.
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Medium Modifications of Mesons: Chiral Symmetry Restoration, in-medium QCD Sum Rules for D and rho Mesons, and Bethe-Salpeter EquationsHilger, Thomas 19 July 2012 (has links)
Das Zusammenspiel von Hadronen und Modifikationen ihrer Eigenschaften auf der einen Seite und spontaner chiraler Symmetriebrechung und Restauration auf der anderen Seite wird untersucht. Es werden die QCD Summenregeln für D und B Mesonen in kalter Materie berechnet. Wir bestimmen die Massenaufspaltung von D - D-bar und B - B-bar Mesonen als Funktion der Kerndichte und untersuchen den Einfluss verschiedener Kondensate in der Näherung linearer Dichteabhängigkeit. Die Analyse beinhaltet ebenfalls D_s und D^*_0 Mesonen. Es werden QCD Summenregeln für chirale Partner mit offenem Charmfreiheitsgrad bei nichtverschwindenden Nettobaryonendichten und Temperaturen vorgestellt. Es wird die Differenz sowohl von pseudoskalaren und skalaren Mesonen, als auch von Axialvektor- und Vektormesonen betrachtet und die entsprechenden Weinberg-Summenregeln hergeleitet. Basierend auf QCD Summenregeln werden die Auswirkungen eines Szenarios auf das rho Meson untersucht, in dem alle chiral ungeraden Kondensate verschwinden wohingegen die chiral symmetrischen Kondensate ihren Vakuumwert behalten. Die komplementären Folgerungen einer Massenverschiebung und Verbreiterung der rho Mesonanregung werden diskutiert. Ein alternativer Zugang basierend auf gekoppelten Dyson-Schwinger- und Bethe-Salpeter-Gleichungen für Quarkbindungszustände wird untersucht. Zu diesem Zwecke wird die analytische Struktur des Quarkpropagators in der komplexen Ebene numerisch untersucht und die Möglichkeit getestet die Anwendbarkeit auf den Sektor der schwer-leicht Quark Systeme im skalaren und pseudoskalaren Kanal, wie dem D Meson, durch Variation des Impulsteilungsparameters zu erweitern. Die Lösungen der Dyson-Schwinger-Gleichung in der Wigner-Weyl-Phase der chiralen Symmetrie bei nichtverschwindenden Stromquarkmassen wird benutzt um den Fall einer expliziten Symmetriebrechung ohne spontane Symmetriebrechung zu untersuchen. / The interplay of hadron properties and their modification in an ambient nuclear medium on the one hand and spontaneous chiral symmetry breaking and its restoration on the other hand is investigated. QCD sum rules for D and B mesons embedded in cold nuclear matter are evaluated. We quantify the mass splitting of D - D-bar and B - B-bar mesons as a function of the nuclear matter density and investigate the impact of various condensates in linear density approximation. The analysis also includes D_s and $D^*_0 mesons. QCD sum rules for chiral partners in the open-charm meson sector are presented at nonzero baryon net density or temperature. We focus on the differences between pseudo-scalar and scalar as well as vector and axial-vector D mesons and derive the corresponding Weinberg type sum rules. Based on QCD sum rules we explore the consequences of a scenario for the rho meson, where the chiral symmetry breaking condensates are set to zero whereas the chirally symmetric condensates remain at their vacuum values. The complementarity of mass shift and broadening is discussed. An alternative approach which utilizes coupled Dyson-Schwinger and Bethe-Salpter equations for quark-antiquark bound states is investigated. For this purpose we analyze the analytic structure of the quark propagators in the complex plane numerically and test the possibility to widen the applicability of the method to the sector of heavy-light mesons in the scalar and pseudo-scalar channels, such as the D mesons, by varying the momentum partitioning parameter. The solutions of the Dyson-Schwinger equation in the Wigner-Weyl phase of chiral symmetry at nonzero bare quark masses are used to investigate a scenario with explicit but without dynamical chiral symmetry breaking.
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Predictors of performanceDanay, Erik 04 April 2011 (has links)
Präsentiert werden drei Studien zum Thema Prädiktion von Leistung. In Studie 1 wurde die Prädiktion von Studienerfolg nicht nur mit Persönlichkeitsmaßen auf Facettenebene sowohl von Fremd- als auch Selbst-Ratings untersucht, sondern auch der Einfluss von faking auf die Kriteriumsvalidität. Ergebnisse zeigten, dass Fremd- über Selbst-Ratings und Intelligenz hinaus Studienerfolg prädizieren. Auch wurde gezeigt, dass Faking die Kriteriumsvaliditäten auf Facettenebene in unterschiedlicher Weise beeinflusst. Studie 2 untersuchte den Einfluss der unterschiedlichen Abstraktionsebene von Prädiktor und Kriterium auf die Kriteriumsvalidität. Dazu wurden Leistungsmotivationsskalen sowohl in einer Mathe-spezifischen Formulierung als auch in einer globalen Formulierung Schülern vorgegeben. Diese Skalen dienten dann als Prädiktoren für Noten in Mathe, Physik und Deutsch. Ergebnisse einer Varianzzerlegung mit MTMM zeigten, dass die Mathe-spezifischen Skalen durchgehend ein Plus an Varianz enthalten, welches unabhängig ist von der Varianz aufgrund der einzelnen Motivationskonstrukte. Folglich messen domänen-spezifische Skalen entweder ein engeres Konstrukt von Leistungsmotivation oder, eher, ein zusätzliches Konstrukt. Das Korrelationsmuster der domänen-spezifischen Varianz mit den drei untersuchten Noten legt nahe, dass es sich bei diesem zusätzlichen Konstrukt um Selbstkonzept handelt. Studie 3 untersuchte die Konstruktvalidität der Big 5 und möglicher higher-order factors nach Kontrolle von möglichen Biases innerhalb des CTCM-1 Ansatzes mit Selbst- und Fremdratings. Ergebnisse zeigten, dass bias-bereinigte Big 5 Maße die Annahme eines higher-order factors wenig plausibel machen. Darüber hinaus konnte ein solcher potentieller Faktor nicht theoriekonform die positive Eigenschaft Intelligenz prädizieren. Insgesamt verdeutlicht dies die Problematik des Einflusses von unterschiedlichen Quellen und Verzerrungen auf die Kriteriumsvalidität von häufig eingesetzten Persönlichkeitsmaßen. / Presented are 3 studies about the prediction of performance. Study 1 analyzes the prediction of academic performance by use of self-ratings, other-ratings and faked-ratings of personality measures not only on domain level but also on facet level. Result showed that other-ratings yield incremental validity above and beyond self-ratings and intelligence. Moreover, against prior findings for domain-level, faking does influence criterion validity on facet-level, with the influence not being uniform in direction. Study 2 analyzed the influence of different levels of abstraction of predictor and criterion in the realm of achievement motivation. For that, various achievement motivation scales were administered both in a global and a math-specific wording. These scales later on served as predictor for grades in math, physics and German. By modeling this data in a MTMM model different sources of variance could be disentangled. Results showed that math-specific scales are the better predictors. More so, these domain-specific scales have uniformly an increase in variance regardless of the positive or negative valence of the various achievement motivation scales. This leads to the conclusion that math-domain-specific scales either measure a narrower construct or, more probable, they tap an additional construct. This is backed by the uniform positive additional variance. Moreover, test-criterion correlation-pattern between the math-domain-specific variance and the three different grades makes it plausible that the additional construct tapped in these scales is self-concept. Study 3 analyzed the construct-validity of personality’s Big 5 and their possible higher order factor after controlling for singular rater biases using a newly developed CTCM-1 approach. Results showed that these bias free Big 5 make the assumption of one higher order factor implausible. Moreover, such a factor would not uniformly predict intelligence as is claimed by advocates of this factor.
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Chaos and Chaos Control in Network Dynamical Systems / Chaos und dessen Kontrolle in Dynamik von NetzwerkenBick, Christian 29 November 2012 (has links)
No description available.
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Individual Approaches in Rich Learning Situations Material-based Learning with PinboardsKatzenbach, Michael 02 May 2012 (has links) (PDF)
Active Approaches provide chances for individual, comprehension-oriented learning and can facilitate the acquirement of general mathematical competencies. Using the example of pinboards, which were developed for different areas of the secondary level, workshop participants experience, discuss and further develop learning tasks, which can be used for free activities, for material based concept
formation, for coping with heterogeneity, for intelligent exercises, as tool for the presentation of students’ work and as basis for games. The material also allows some continuous movements and can thus prepare an insightful usage of dynamic geometry programs. Central Part of the workshop is a work-sharing group work with learning tasks for grades 5 to 8. The workshop will close with a discussion of general aspects of material-based learning.
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Individual Approaches in Rich Learning Situations Material-based Learning with PinboardsKatzenbach, Michael 02 May 2012 (has links)
Active Approaches provide chances for individual, comprehension-oriented learning and can facilitate the acquirement of general mathematical competencies. Using the example of pinboards, which were developed for different areas of the secondary level, workshop participants experience, discuss and further develop learning tasks, which can be used for free activities, for material based concept
formation, for coping with heterogeneity, for intelligent exercises, as tool for the presentation of students’ work and as basis for games. The material also allows some continuous movements and can thus prepare an insightful usage of dynamic geometry programs. Central Part of the workshop is a work-sharing group work with learning tasks for grades 5 to 8. The workshop will close with a discussion of general aspects of material-based learning.
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