TUHH Open Research (TORE)TORE captures, stores, indexes, preserves, and distributes digital research material.https://tore.tuhh.de:4432021-09-21T00:45:06Z2021-09-21T00:45:06ZA Unified treatment of classical probability, thermodynamics, and quantum information theoryJansson, Christianhttp://hdl.handle.net/11420/103302021-09-20T22:03:58Z2021-09-20T13:42:00ZTitle: A Unified treatment of classical probability, thermodynamics, and quantum information theory
Authors: Jansson, Christian
Abstract: Das Hauptziel dieser Arbeit ist eine ausführliche Darstellung einer probabilistischen Theorie. Diese Theorie ermöglicht mit vier Prinzipien oder Axiomen eine gemeinsame Formulierung der klassischen Wahrscheinlichkeitstheorie, der Thermodynamik und der Quantenwahrscheinlichkeit. Die Prinzipien unterscheiden strikt zwischen Möglichkeiten und Messresultaten. Viele bekannte Paradoxien verschwinden, und Quanteninterpretationen wie "many worlds" oder "many minds" werden überflüssig. Zudem erhalten das Superpositionsprinzip und die Verschränkung von Systemen eine neue Bedeutung.
Darüberhinaus, bietet diese Theorie einen axiomatischen Zugang zur Wahrscheinlichkeitstheorie im Sinne von Hilbert. In seinem sechsten der dreiundzwanzig offenen Probleme, präsentiert auf dem Internationalen Mathematikerkongress 1900 in Paris, forderte er die Wahrscheinlichkeitstheorie axiomatisch zu behandeln, ähnlich wie die Geometrie.
Unsere Theorie wurde auf verschiedene Probleme angewendet, darunter klassische Probleme, statistische Mechanik und Thermodynamik, Beugung an Mehrfachspalten, Lichtreflexion, Interferometer, Delayed-Choice-Experimente und Hardy's Paradox.
Besonderer Augenmerk wird auch auf die Arbeiten von C.F. von Weizsäcker gelegt, der seine Ur-Theorie bereits in den 1950er Jahren entwickelte. Heute führen sehr bekannte Forscher seine Arbeiten unter dem Namen "Simons Collaboration on Quantum Fields, Gravity,
und Informationen'' fort.; The major goal of these notes is an elaborate presentation of a probabilistic framework. This framework allows a formulation of classical probability theory, thermodynamics, and quantum probability with a common set of four principles or axioms. In particular, it provides a general prognostic algorithm for computing probabilities about future events. Our principles distinguish strictly between possibilities and outcomes. A well-defined possibility space and a sample space of outcomes resolves well-known paradoxes, and make quantum interpretations like ''many worlds`` or ''many minds`` superfluous. In addition, the superposition principle and the entanglement of systems obtain a new meaning from our point of view.
This framework offers an axiomatic approach to probability in the sense of Hilbert. He asked for treating probability axiomatically in his sixth of the twenty-three open problems presented to the International Congress of Mathematicians in Paris in 1900. We have applied our framework to various problems, including classical problems, statistical mechanics and thermodynamics, diffraction at multiple slits, light reflection, interferometer, delayed-choice experiments, and Hardy's Paradox.
Particular emphasis is also placed on C.F. von Weizs\"acker's work, who developed his ur theory as early as the 1950s. Today, leading researchers continue his work under the name ''Simons Collaboration on Quantum Fields, Gravity, and Information``.2021-09-20T13:42:00ZThe Peregrine breather on the zero-background limit as the two-soliton degenerate solution : an experimental studyChabchoub, AminSlunyaev, AlexeyHoffmann, NorbertDias, FredericKibler, BertrandGenty, GoëryDudley, JohnAkhmediev, Nail N.http://hdl.handle.net/11420/103572021-09-20T22:04:08Z2021-09-20T13:29:56ZTitle: The Peregrine breather on the zero-background limit as the two-soliton degenerate solution : an experimental study
Authors: Chabchoub, Amin; Slunyaev, Alexey; Hoffmann, Norbert; Dias, Frederic; Kibler, Bertrand; Genty, Goëry; Dudley, John; Akhmediev, Nail N.
Abstract: Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates. While the Peregrine breather is known to amplify a single localized perturbation of a carrier wave of finite amplitude by a factor of three, there is a counterpart solution on zero background known as the degenerate two-soliton which also leads to high amplitude maxima. In this study, we report several observations of such multi-soliton with doubly-localized peaks in a water wave flume. The data collected in this experiment confirm the distinctive attainment of wave amplification by a factor of two in good agreement with the dynamics of the nonlinear Schrödinger equation solution. Advanced numerical simulations solving the problem of nonlinear free water surface boundary conditions of an ideal fluid quantify the physical limitations of the degenerate two-soliton in hydrodynamics.2021-09-20T13:29:56ZApplication of large eddy simulation to predict underwater noise of marine propulsors. Part 2: Noise generationKimmerl, JulianMertes, PaulAbdel-Maksoud, Moustafahttp://hdl.handle.net/11420/103562021-09-20T22:04:06Z2021-09-20T12:38:26ZTitle: Application of large eddy simulation to predict underwater noise of marine propulsors. Part 2: Noise generation
Authors: Kimmerl, Julian; Mertes, Paul; Abdel-Maksoud, Moustafa
Abstract: Methods to predict underwater acoustics are gaining increased significance, as the propulsion industry is required to confirm noise spectrum limits, for instance in compliance with classification society rules. Propeller-ship interaction is a main contributing factor to the underwater noise emissions by a vessel, demanding improved methods for both hydrodynamic and high-quality noise prediction. Implicit large eddy simulation applying volume-of-fluid phase modeling with the Schnerr-Sauer cavitation model is confirmed to be a capable tool for propeller cavitation simulation in part 1. In this part, the near field sound pressure of the hydrodynamic solution of the finite volume
method is examined. The sound level spectra for free-running propeller test cases and pressure pulses on the hull for propellers under behind ship conditions are compared with the experimental measurements. For a propeller-free running case with priory mesh refinement in regions of high vorticity to improve the tip vortex cavity representation, good agreement is reached with respect to the spectral signature. For behind ship cases without additional refinements, partial agreement was achieved for the incompressible hull pressure fluctuations. Thus, meshing strategies require improvements for this approach to be widely applicable in an industrial environment, especially for non-uniform propeller inflow.2021-09-20T12:38:26ZApplication of large eddy simulation to predict underwater noise of marine propulsors. Part 1: Cavitation dynamicsKimmerl, JulianMertes, PaulAbdel-Maksoud, Moustafahttp://hdl.handle.net/11420/103552021-09-20T22:04:02Z2021-09-20T12:11:49ZTitle: Application of large eddy simulation to predict underwater noise of marine propulsors. Part 1: Cavitation dynamics
Authors: Kimmerl, Julian; Mertes, Paul; Abdel-Maksoud, Moustafa
Abstract: Marine propulsors are identified as the main contributor to a vessel’s underwater radiated noise as a result of tonal propeller noise and broadband emissions caused by its induced cavitation. To reduce a vessel’s signature, spectral limits are set for the propulsion industry, which can be experimentally obtained for a complete vessel at the full-scale; however, the prediction capability of the sound sources is still rudimentary at best. To adhere to the regulatory demands, more accurate numerical methods for combined turbulence and two-phase modeling for a high-quality prediction of acoustic sources of a propeller are required. Several studies have suggested implicit LES as a capable tool for propeller cavitation simulation. In the presented study, the main objective was the evaluation of the tip and hub vortex cavitating flows with implicit LES focusing on probable sound source representation. Cavitation structures for free-running propeller test cases were compared with experimental measurements. To resolve the structure of the tip vortex accurately, a priory mesh refinement was employed during the simulation in regions of high vorticity. Good visual agreement with the experiments and a fundamental investigation of the tip cavity structure confirmed the capability of the implicit LES for resolving detailed turbulent flow and cavitation structures for free-running propellers.2021-09-20T12:11:49Z