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In classical Drude theory the conductivity is determined by the mass of the propagating particles and the mean free path between two scattering events. For a quantum particle this simple picture of diffusive transport loses relevance if strong correlations dominate the particle motion. We study a situation where the propagation of a fermionic particle is possible only through creation and annihilation of local bosonic excitations. This correlated quantum transport process is outside the Drude picture, since one cannot distinguish between free propagation and intermittent scattering. The characterization of transport is possible using the Drude weight obtained from the f-sum rule, although its interpretation in terms of free mass and mean free path breaks down. For the situation studied we calculate the Green's function and Drude weight using a Green's functions expansion technique, and discuss their physical meaning.
Based on distributions of local Green's functions we present a stochastic approach to disordered systems. specifically we address Anderson localisation and cluster effects in binary alloys. Taking Anderson localisation of Holstein polarons as an example we discuss how this stochastic approach can be used for the investigation of interacting disordered systems.
We discuss a numerical method to study electron transport in mesoscopic devices out of equilibrium. The method is based on the solution of operator equations of motion, using efficient Chebyshev time propagation techniques. Its peculiar feature is the propagation of operators backwards in time. In this way the resource consumption scales linearly with the number of states used to represent the system. This allows us to calculate the current for non-interacting electrons in large one-, two- and three-dimensional lead-device configurations with time-dependent voltages or potentials. We discuss the technical aspects of the method and present results for an electron pump device and a disordered system, where we find transient behaviour that exists for a very long time and may be accessible to experiments.
AbstractThe 2022 Roadmap is the next update in the series of Plasma Roadmaps published by Journal of Physics D with the intent to identify important outstanding challenges in the field of low-temperature plasma (LTP) physics and technology. The format of the Roadmap is the same as the previous Roadmaps representing the visions of 41 leading experts representing 21 countries and five continents in the various sub-fields of LTP science and technology. In recognition of the evolution in the field, several new topics have been introduced or given more prominence. These new topics and emphasis highlight increased interests in plasma-enabled additive manufacturing, soft materials, electrification of chemical conversions, plasma propulsion, extreme plasma regimes, plasmas in hypersonics, data-driven plasma science and technology and the contribution of LTP to combat COVID-19. In the last few decades, LTP science and technology has made a tremendously positive impact on our society. It is our hope that this roadmap will help continue this excellent track record over the next 5–10 years.
A novel method for time-resolved tuned diode laser absorption spectroscopy has been developed. In this paper, we describe in detail developed electronic module that controls time-resolution of laser absorption spectroscopy system. The TTL signal triggering plasma pulse is used for generation of two signals: the first one triggers the fine tuning of laser wavelength and second one controls time-defined signal sampling from absorption detector. The described method and electronic system enable us to investigate temporal evolution of sputtered particles in technological low-temperature plasma systems. The pulsed DC planar magnetron sputtering system has been used to verify this method. The 2" in diameter titanium target was sputtered in pure argon atmosphere. The working pressure was held at 2 Pa. All the experiments were carried out for pulse ON time fixed at 100 (is. When changing OFF time the discharge has operated between High Power Impulse Magnetron Sputtering regime and pulsed DC magnetron regime. The effect of duty cycle variation results in decrease of titanium atom density during ON time while length of OFF time elongates. We believe that observed effect is connected with higher degree of ionization of sputtered particles. As previously reported by Bohlmark et al., the measured optical emission spectra in HiPIMS systems were dominated by emission from titanium ions [1].
Growth, ageing and atherosclerotic plaque development alter the biomechanical forces acting on the vessel wall. However, monitoring the detailed local changes in wall shear stress (WSS) at distinct sites of the murine aortic arch over time has been challenging. Here, we studied the temporal and spatial changes in flow, WSS, oscillatory shear index (OSI) and elastic properties of healthy wildtype (WT, n = 5) and atherosclerotic apolipoprotein E-deficient (Apoe−/−, n = 6) mice during ageing and atherosclerosis using high-resolution 4D flow magnetic resonance imaging (MRI). Spatially resolved 2D projection maps of WSS and OSI of the complete aortic arch were generated, allowing the pixel-wise statistical analysis of inter- and intragroup hemodynamic changes over time and local correlations between WSS, pulse wave velocity (PWV), plaque and vessel wall characteristics. The study revealed converse differences of local hemodynamic profiles in healthy WT and atherosclerotic Apoe−/− mice, and we identified the circumferential WSS as potential marker of plaque size and composition in advanced atherosclerosis and the radial strain as a potential marker for vascular elasticity. Two-dimensional (2D) projection maps of WSS and OSI, including statistical analysis provide a powerful tool to monitor local aortic hemodynamics during ageing and atherosclerosis. The correlation of spatially resolved hemodynamics and plaque characteristics could significantly improve our understanding of the impact of hemodynamics on atherosclerosis, which may be key to understand plaque progression towards vulnerability.
Die Forschung an mikrowelleninduzierten Atmosphärendruckplasmen am INP führte zu verschiedenen potentiellen Applikationen. Dabei besitzt die mikrobiologische Dekontamination sowohl von thermolabilen Medizinprodukten als auch von Lebensmitteln schon zum jetzigen Zeitpunkt ein hohes industrielles Anwendungspotential. Den aufgeführten Anwendungen gemeinsam ist, dass für eine erfolgreiche Weiterentwicklung der Prozesse, sowie der Plasmaquelle, ein grundlegendes Verständnis der vorliegenden dynamischen Mikrowellenplasmawechselwirkung notwendig ist. Durch den begrenzten diagnostischen Zugang der zu untersuchenden Plasmaquelle wird ein kombinierter Ansatz aus diagnostischen Methoden und Modellierung gewählt. Die Entladung wird in Argon bei reduziertem Druck (ab 10 mbar) zur Vereinfachung des Modells betrieben. Daher musste die Plasmaquelle für diesen Einsatz weiterentwickelt werden. Dieses beinhaltet die Neuauslegung der Prozesswärmeabfuhr, auf Grund der nicht oder nur teilweisen Anwendbarkeit von etablierten Verfahren im Atmosphärendruck (hohe Gasflüsse, Wasserkühlung). Die Plasmamikrowellenwechselwirkung dieser Quelle ist anschließend mit Methoden zur Charakterisierung des Plasmas und des Mikrowellenfeldes für unterschiedliche Arbeitspunkte in Druck und Leistung untersucht worden. Zur Bestimmung der Elektronendichte des Plasmas wurde ein frequenzvariables Mikrowelleninterferometer auf Basis eines Vektornetzwerkanalysators erstmalig etabliert. Dieses neue Messsystem wurde im Vorfeld detailliert untersucht, um das korrekte Zusammenspiel aller Komponenten zu überprüfen. In diesem Zusammenhang wurde ein frequenzaufgelöstes Mikrowelleninterferometer zur Messung der Elektronendichte in einer Fluoreszenzlampe aufgebaut. Durch diesen neuartigen Ansatz konnte der Einfluss der dielektrischen Umhüllung (Glasrohr der Lampe) auf die Mikrowelleninterferometrie untersucht werden. In einer weiteren Untersuchung an einem Induktiv Gekoppelten Plasma wurden die Resultate dieses Messsystems mit denen von Langmuir-Sondenmessungen. Auf Grund der konstruktiven Gegebenheiten des Reaktors ist das Plasma nur über ein Fenster für das Mikrowelleninterferometer zugänglich. Der Vergleich der ermittelten Elektronendichten ergab einen Unterschied von Faktor zwei zwischen Interferometer und Langmuir-Sonde. Die Untersuchungen an der Fluoreszenzlampe und dem Induktiv Gekoppelten Plasma zeigten zum einen die korrekte Funktion des neu etablierten frequenzvariablen Mikrowelleninterferometers mit erreichbaren Phasenauflösungen unterhalb von 0,1 mrad. Zum anderen wurde festgestellt, dass die dielektrische Umhüllung des Plasmas zu einem systematischen Fehler von bis 53 % bei der Elektronendichtebestimmung führen kann. Diese gewonnenen Erkenntnisse hatten bei der Konzipierung des Mikrowelleninterferometers zur Untersuchung der Plasmamikrowellenwechselwirkung einen entscheidenden Einfluss. Neben der Untersuchung des Plasmas ist ebenfalls eine Diagnostik des Mikrowellenfeldes nötig, um die Plasmamikrowellenwechselwirkung dieser Entladung experimentell zu charakterisieren. Auf Grundlage dieser Daten können die Resultate des Modells bewertet werden, die einen Einblick in die Plasmaquelle und ihrer dynamischen Vorgänge erlaubt, was für die Weiterentwicklung der Applikationen essentiell ist. Aus diesem Grund ist ein heterodynes Reflektometer entwickelt worden. Dieses Messsystem wurde umfangreich getestet und kann mit einer maximalen Zeitauflösung von 100 ns den komplexen Reflektionsfaktor mit einer Phasengenauigkeit von 10 mrad bestimmen. Das Reflektometer erlaubt einen experimentellen Zugang zur aktiven Zone schon in der Frühphase der Entladung. Mit Hilfe der Diagnostiken zur Untersuchung des Plasmas und des Mikrowellenfeldes wurde die Entladung von der Zündung bis zur stationären Phase charakterisiert und mit den Ergebnissen des Modells verglichen. Es zeigte sich eine gute Übereinstimmung im Millisekundenzeitbereich, sowie eine starke Dynamik im Reflektionsfaktor in der ersten Millisekunde, hervorgerufen durch die Plasmamikrowellenwechselwirkung. Durch die hohe Zeitauflösung des Reflektometers konnten diese Vorgänge im Mikrosekundenzeitbereich erstmalig experimentell aufgelöst werden, was die Interpretation mittels des Modells möglich macht. Es konnten die Vorgänge während der Zündung des Plasmas detailliert untersucht werden und damit die Richtigkeit von Annahmen, die bei der Entwicklung der Zündtechnologie getroffen wurden, überprüft werden. Dieses erworbene grundlegende Verständnis ermöglicht eine Weiterentwicklung dieser Technologie. Mit Hilfe der erzielten Ergebnisse wurde eine neue Optimierungsstrategie für die Abstimmung der Mikrowellenplasmaquelle entwickelt. Dies führte zu einer wesentlichen Verbesserung der Reproduzierbarkeit der mikrobiologischen Ergebnisse. Darüber hinaus bilden die erzielten Ergebnisse eine solide Grundlage für weitere experimentelle und theoretische Untersuchungen dieser Entladung in beispielsweise anderen Arbeitsgasen.
AbstractFluctuations of electron cyclotron emission (ECE) signals are analyzed for differently heated Wendelstein 7-X plasmas. The fluctuations appear to travel predominantly on flux surfaces and are used as ‘tracers’ in multivariate time series. Different statistical techniques are assessed to reveal the coupling and information entropy-based coupling analysis are conducted. All these techniques provide evidence that the fluctuation analysis allows one to check the consistency of magneto-hydrodynamic (MHD) equilibrium calculations. Expanding the suite of techniques applied in fusion data analysis, partial mutual information (PMI) analysis is introduced. PMI generalizes traditional partial correlation (Frenzel and Pompe Phys. Rev. Lett.
99 204101) and also Schreiber’s transfer entropy (Schreiber 2000 Phys. Rev. Lett.
85 461). The main additional capability of PMI is to allow one to discount for specific spurious data. Since PMI analysis allows one to study the effect of common drivers, the influence of the electron cyclotron resonance heating on the mutual dependencies of simultaneous ECE measurements was assessed. Additionally, MHD mode activity was found to be coupled in a limited volume in the plasma core for different plasmas. The study reveals an experimental test for equilibrium calculations and ECE radiation transport.
In this thesis, it was the subject to build a setup to study the interaction of clusters with intense laser light. A magnetron sputter cluster ion source was built to create metal clusters for the planned investigations. Furthermore, a linear Paul trap setup was built in order to allow the investigation of the mentioned interaction at one specific cluster size. The whole apparatus was characterized and first experiments were performed.
Recent experimental campaigns in the Wendelstein 7-X stellarator, a
plasma-confining device designed to investigate the Magnetic Confinement Fusion
(MCF) approach to generating electrical power, have shown that the injection of
fuelling pellets had an unexpected and considerable impact on the performance of
the plasma. Rather than simply refuelling the device and `diluting' the plasma
energy, pellet injection is followed by a significant increase in the ratio of
the ion temperature to the electron temperature. It has been suggested that this
is not merely due to the improved confinement following the reduction of
turbulent transport after the pellet material has homogenised with the bulk
plasma, but also due to a direct transfer of energy from electrons to ions. The
proposed mechanism for this energy transfer is the ambipolar expansion of the
pellet plasmoid, the localised plasma structure produced by the
ionisation of ablated pellet material, along magnetic field lines.
Early work on pellet plasmoid expansion predicted that half the heating power
deposited in plasmoid electrons by collisions with hot ambient electrons is
transferred to plasmoid ions in the form of flow velocity as the plasmoid
expands. The complicated nature of the system of the pellet plasmoid embedded in
the ambient plasma, particularly the behaviour of electrons, which experience
many collisional and collisionless phenomena on multiple disparate timescales,
means that early models of the expansion were not wholly self-consistent, but
rather made use of strong approximations that apply in some regions of the
plasmoid but not in others. For example, only electrons and ions associated with
the plasmoid were rigorously treated, meaning that the framework was one of
`expansion into vacuum'. Combined with the assumption of Maxwellian electrons,
this led to an electric potential that was unbounded at infinity. Naturally, the
validity of the conclusions of such a model are called into question because the
approximations lose their validity far from the plasmoid and as time advances,
yet predictions about the final state of the plasma are desired. A deeper
investigation is required: careful consideration of the phenomena in question
and the timescales (and lengthscales) on which they act must be made in order to
rigorously construct a model that is valid throughout the entire expansion.
The first two papers presented in this thesis iterate on the model established
in the paper that first predicted the electron-to-ion energy transfer; their aim
was to find out how the character of the expansion changes with a more
sophisticated and accurate description of various phenomena, while remaining
within the existing framework of expansion into vacuum. Ultimately, we find that
the qualitative character is unchanged, and that approximately half the heating
power deposited in plasmoid electrons is transferred to ions.
Two other papers in this thesis address the limitations of the original model.
This is achieved by properly considering the electron kinetic problem in a
plasmoid. One paper considers the electron kinetic problem when electrons are
highly isotropised. In this case the kinetic equation can be integrated to
remove all but two independent variables, which is the maximum possible
reduction considering it is a time-dependent problem. The full nonlinear
integro-differential Landau self-collision operator is integrated exactly and
few approximations are made, leading to a rather general kinetic equation.
However, for fuelling pellets some anisotropy in the electron distribution is
expected. Another paper considers the electron kinetic problem (and the entire
plasmoid expansion) allowing for electron anisotropy. Careful consideration of
the ordering of timescales of electron phenomena in a pellet plasmoid leads to a
steady-state kinetic problem that we call collisional quasi-equilibrium (QE). QE
appears in many ways similar to the collisional steady-state characterising a
true thermal equilibrium. It was found that the time-dependent kinetic problem
of the earlier paper, with isotropic electrons, produces the QE distribution
function, corroborating the existence of the QE state. We then take moments of
the electron kinetic equation that is valid on the expansion timescale, assuming
that the electron distribution is that given as the solution to the QE kinetic
problem. This is completely analogous to what is done to obtain the Braginskii
equations or any Chapman-Enskog theory. The result is a set of equations for the
long-term evolution of the macroscopic quantities that describe the distribution
function existing in a quasi-steady-state at each point in time. It is from this
point that one may feasibly describe the plasmoid expansion with an accurate
picture of the electron kinetics and finally obtain the electron-to-ion energy
transfer so desired in a rigorous model of the expansion.
From a broader point of view, the two frameworks provided by these rigorous
investigations of the electron kinetic problem serve as a basis for the future
study of plasmoids. Such a `first-principles' approach to plasmoid dynamics is
novel and interesting in its own right, but it will be demonstrated that such an
approach is essential for pellet plasmoids owing to the fact that they are
poorly described by the `standard tools' of plasma physics.
Using the QE framework it was found that, once more, about half the heating
power experienced by plasmoid electrons is transferred to plasmoid ions. The
incredible robustness of the prediction of such an energy transfer is, in the
author's opinion, the result of the self-similar nature of the expansion found
as a solution to the original model. As a rule, the profiles of self-similar
solutions tend to be attractors for the `real', more complicated, system, and
the qualitative predictions involving no parameters, of which the
electron-to-ion energy transfer is one, tend to be very sturdy.
Aside from fuelling pellets, composed of hydrogen or deuterium, one paper in
this thesis investigates the physics of high-Z pellets that are designed to
terminate the plasma safely in the event of a `disruption', where much of the
magnetic field energy is channelled into a runaway electron beam with
potentially disastrous consequences if the beam encounters a plasma-facing
component. The paper draws on the work carried out in the paper concerning the
kinetic problem of isotropised electrons in a plasmoid.
This thesis is `cumulative'; the vast majority of the work carried out is
described within a set of Papers, labelled A-E, placed at the back of the text.
There is a preceding `wrapper text' (given in numbered Sections) tasked with
introducing the reader to the topic, guiding the reader through the papers, and
expounding some of their main results. Some amount of material not present in
the papers is also provided in the wrapper text. Naturally, the wrapper text
mainly focusses on the results of the papers which are under my first
authorship. In the course of publishing papers over an extended period of time
the nomenclature is bound to vary. Although it is mostly consistent between the
papers, a few difference do arise, and the section `Common symbols and
subscripts' is provided in the frontmatter to alleviate confusion. Particular
care should be taken with the symbols x and z; both can refer to the
coordinate parallel to the magnetic field line, but in papers where z is used
for this purpose x tends to have another definition. In the wrapper text the
choice of symbols is generally chosen to reflect those in the corresponding
paper.