Computer simulations of two-dimensional colloidal crystals under confinement and shear

In this thesis we are presenting a broadly based computer simulation study of two-dimensional colloidal crystals under different external conditions. In order to fully understand the phenomena which occur when the system is being compressed or when the walls are being sheared, it proved necessary to study also the basic motion of the particles and the diffusion processes which occur in the case without these external forces. In the first part of this thesis we investigate the structural transition in the number of rows which occurs when the crystal is being compressed by placing the structured walls closer together. Previous attempts to locate this transition were impeded by huge hysteresis effects. We were able to determine the transition point with higher precision by applying both the Schmid-Schilling thermodynamic integration method and the phase switch Monte Carlo method in order to determine the free energies. These simulations showed not only that the phase switch method can successfully be applied to systems with a few thousand particles and a soft crystalline structure with a superimposed pattern of defects, but also that this method is way more efficient than a thermodynamic integration when free energy differences are to be calculated. Additionally, the phase switch method enabled us to distinguish between several energetically very similar structures and to determine which one of them was actually stable. Another aspect considered in the first result chapter of this thesis is the ensemble inequivalence which can be observed when the structural transition is studied in the NpT and in the NVT ensemble. The second part of this work deals with the basic motion occurring in colloidal crystals confined by structured walls. Several cases are compared where the walls are placed in different positions, thereby introducing an incommensurability into the crystalline structure. Also the movement of the solitons, which are created in the course of the structural transition, is investigated. Furthermore, we will present results showing that not only the well-known mechanism of vacancies and interstitial particles leads to diffusion in our model system, but that also cooperative ring rotation phenomena occur. In this part and the following we applied Langevin dynamics simulations. In the last chapter of this work we will present results on the effect of shear on the colloidal crystal. The shear was implemented by moving the walls with constant velocity. We have observed shear banding and, depending on the shear velocity, that the inner part of the crystal breaks into several domains with different orientations. At very high shear velocities holes are created in the structure, which originate close to the walls, but also diffuse into the inner part of the crystal.

Search for supersymmetry in final states with jets, missing transverse energy and one charged lepton with the ATLAS-experiment

Im Jahr 2011 wurde am Large Hadron Collider mit dem ATLAS Experiment ein Datensatz von 4.7 inversen Femtobarn bei einer Schwerpunktsenergie von 7 TeV aufgezeichnet. Teil des umfangreichen Physikprogrammes des ATLAS Experiments ist die Suche nach Physik jenseits des Standardmodells. Supersymmetrie - eine neue Symmetrie zwischen Bosonen und Fermionen - wird als aussichtsreichester Kandidat für neue Physik angesehen, und zahlreiche direkte und indirekte Suchen nach Supersymmetrie wurden in den letzten Jahrzehnten bereits durchgeführt. In der folgenden Arbeit wird eine direkte Suche nach Supersymmetrie in Endzuständen mit Jets, fehlender Transversalenergie und genau einem Elektron oder Myon durchgeführt. Der analysierte Datensatz von 4.7 inversen Femtobarn umfasst die gesamte Datenmenge, welche am ATLAS Experiment bei einer Schwerpunktsenergie von 7 TeV aufgezeichnet wurde. Die Ergebnisse der Analyse werden mit verschiedenen anderen leptonischen Suchkanälen kombiniert, um die Sensitivität auf diversen supersymmetrischen Produktions- und Zerfallsmodi zu maximieren. Die gemessenen Daten sind kompatibel mit der Standardmodellerwartung, und neue Ausschlussgrenzen in verschiedenen supersymmetrischen Modellen werden berechnet.

Search for Dark Matter in events with a highly energetic jet and missing transverse momentum in proton-proton collisions at root out s = 8 TeV with the ATLAS detector

The experiments at the Large Hadron Collider at the European Centre for Particle Physics, CERN, rely on efficient and reliable trigger systems for singling out interesting events. This thesis documents two online timing monitoring tools for the central trigger of the ATLAS experiment as well as the adaption of the central trigger simulation as part of the upgrade for the second LHC run. Moreover, a search for candidates for so-called Dark Matter, for which there is ample cosmological evidence, is presented. This search for generic weakly interacting massive particles (WIMPs) is based on the roughly 20/fb of proton-proton collisions at a centre-of-mass-energy of sqrt{s}=8 TeV recorded with the ATLAS detector in 2012. The considered signature are events with a highly energetic jet and large missing transverse energy. No significant deviation from the theory prediction is observed. Exclusion limits are derived on parameters of different signal models and compared to the results of other experiments. Finally, the results of a simulation study on the potential of the analysis at sqrt{s}=14 TeV are presented.