Doctoral Thesis
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- Institut für Physik (130) (remove)
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.
Modern cavity QED and cavity optomechanical systems realize the interaction of light with mesoscopic devices, which exhibit discrete (atom-like) energy spectra or perform micromechanical motion. In this thesis we have studied the crossover from the quantum regime to the classical limit of two prototypical models, the Dicke model and the generic optomechanical model. The physical problems considered in this approach range from a ground state phase transition, its dynamical response to general nonequilibrium dynamics including Hamiltonian and driven dissipative chaotic motion. The classical limit of these models follows from the classical limit of at least one of its subsystems. The classical equations of motion result from the respective quantum equations through the application of the semiclassical approximation, i.e., the neglect of quantum correlations. The approach of the results from quantum mechanics to the prediction of the classical equations can be obtained by subsequently decreasing the respective scaling parameter. In order to obtain exact results we have utilized advanced numerical methods, e.g., the Lanczos diagonalization method for ground state calculations, the Kernel Polynomial Method for dynamical response functions, Chebyshev recursion for time propagation, and quantum state diffusion for open system dynamics. We have studied the quantum phase transition of the Dicke model in the classical oscillator limit. Our work shows that in this limit the transition occurs already for finite spin length but with the same critical behavior as in the classical spin limit. We have derived an effective model for the oscillator degrees of freedom and have discussed the differences of both classical limits with respect to quantum fluctuations around the mean-field ground state and spin-oscillator entanglement. In this thesis we have proposed a variational ansatz for the Dicke model which extends the mean-field description through the inclusion of spin-oscillator correlations. The ansatz becomes correct in the limit of large oscillator frequency and in the limit of a large spin. For the latter it captures the leading quantum corrections to the classical limit exactly including the spin-oscillator entanglement entropy. We have studied the dynamics of spin and oscillator coherent states in the nonresonant Dicke model at weak coupling. In this regime periodic collapses and revivals of Rabi oscillations occur, which are accompanied by the buildup and decay of atom-field entanglement. The spin-oscillator wave function evolves into a superposition of multiple field coherent states that are correlated with the spin configuration. In our work we provide a description of the underlying dynamical mechanism based on perturbation theory. Our analysis shows that collapse and revival at nonresonance is distinguished from the resonant case treated within the rotating wave approximation by the appearance of two time scales instead of one. We have extended our study of the Dicke dynamics to the case of increasing spin length, as the system approaches the classical spin limit. We described the emergence of collective excitations above the ground state that converge to the coupled spin-oscillator oscillations observed in the classical limit. With increased spin length the corresponding Green functions thus reveal quantum dynamical signatures of the quantum phase transition. For the dynamics at larger coupling and energy, classical phase space drift and quantum diffusion hinders the direct comparison of quantum and classical observables. As we show in our work, signatures of classical quasiperiodic orbits can be identified in the Husimi phase-space functions of the propagated wave function and individual eigenstates with energies close to that of the quasiperiodic orbits. The analysis of the generic optomechanical system complements our study of cavity QED systems by a quantum dissipative system. In this thesis we have shown for the first time, how the route to chaos in the classical optomechanical system takes place, given as a sequence of consecutive period doubling bifurcations of self-induced cantilever oscillations. In addition to the semiclassical dynamics we have analyzed the possibility of chaotic motion in the quantum regime. Our results showed that quantum mechanics protects the optomechanical system against irregular dynamics. In sufficient distance to the semiclassical limit simple periodic orbits reappear and replace the classically chaotic motion. In this way direct observation of the dynamical properties of an optomechanical system makes it possible to pin down the crossover from quantum to classical mechanics.
This thesis presents the production of polyanionic clusters within two ion storage devices:
Considering a Penning trap, the accessible range of polyanionic aluminium clusters has been expanded up to the 10th charge state. In particular, abundance curves for clusters with 5 to 9 excess electrons have been measured for the first time and analysed with respect to their lifetime-dependent appearance sizes. These sizes reveal a nearly quadratic dependency on the charge state for experimentally accessible lifetimes.
Additionally, the production of polyanionic clusters has been enabled in a radiofrequency ion trap. Therefore, the transition from a harmonic to a digital 2- and 3-state guiding signal has been investigated with respect to the ion storage. The passing of electrons through the trap during field-free periods of the guiding signal led to the first production of polyanionic clusters within a radiofrequency ion trap.
The rapid neutron-capture or the r-process is responsible for the origin of about half of the neutron-rich atomic nuclei in the universe heavier than iron. For the calculation of the abundances of those nuclei, atomic masses are required as one of the input parameters with very high precision. In the present work, the masses of the neutron-rich Zn isotopes (A=71 to 81) lying in the r-process path have been measured in the ISOLTRAP experiment at ISOLDE/CERN. The mass of 81Zn has been measured directly for the first time. The half-lives of the nuclides ranged from 46.5 h (72Zn) down to 290 ms (81Zn). In case of all the nuclides, the relative mass uncertainty (∆m/m) achieved was in the order of 1E-8 corresponding to a 100-fold improvement in precision over previous measurements.
A central point of this thesis is the investigation of surface structure and surface forces, which are created by single layers of linear polyelectrolytes (PE). In detail, the properties of cationic poly(allylamine)hydrochloride (PAH) and poly-l-lysine (PLL) and anionic sodium poly(styrene sulfonate) (PSS) are determined, which have been physisorbed onto oppositely charged silica surfaces in presence of a predefined salt concentration IAds. For these investigations, a new averaging method for colloidal probe (CP) force profiles is developed, which leads to an ultimate force resolution of 1 pN after the data processing, (signal to noise ratio of > 1000). Furthermore, a new kind of tapping mode imaging is presented (so called colloidal probe tapping mode, CPTM), which uses a CP instead of a sharp tip and hence which allows to resolve lateral inhomogeneously distributed surface forces. The basics to understand such-like obtained tapping mode images are developed. For adsorption from salt-free solution (IAds = 0) the dominance of an electrostatic double layer repulsion is observed, which is commonly attributed to the adsorption of the PE chains into a rather flat and compact layer and which is in full agreement with theoretical predictions and enormous experimental data available in literature. However, even a small addition of salt to the deposition solution (i.e. IAds > 1 mM NaCl) introduces a new contribution to the surface force, which is attributed to PE chains that are non-flatly physisorbed. Using scaling considerations, it is shown for all investigated PE that this non-flat conformation can be described by brush-like chain adsorption (cf. Section 3.3.5); other conformations like mushroom or pancake are excluded (cf. Section 5.3). Interestingly, these non-flatly physisorbed chains combine properties of neutral and PE brushes: (i) The force is very well described by the theory of Alexander and de Gennes (AdG, cf. Section 5.4). By fitting the AdG force law to the data, it is possible to determine the (brush) thickness L of the PE layer and the average distance s between brush-like physisorbed chains. Although the chains are charged the electrostatic contribution to the surface forces is too small to be noticeable (cf. Section 5.4.2). (ii) The thickness L of this PE layer is much larger compared to the compact layer (observed for salt-free adsorption) and is also subject to a pronounced swelling and shrinking if the bulk salt concentration I is decreased or increased, respectively. Surprisingly, all measurements indicate that L follows a scaling law known for salted end-grafted PE brushes, i.e. L ~ N (I s^2)^(-1/3) (with N denoting the degree of polymerization). Furthermore, the osmotic brush phase is never observed in the experiments, but chain stretching up to 1 / 3 of the contour length is regularly achieved. CPTM imaging applied to PSS shows that the brush-like physisorbed chains are not homogenously distributed over the surface, but form brush domains which coexist with flatly physisorbed chains (cf. sections 5.5 and 5.6). This clearly shows that PSS generally physisorbs in two distinct phases, which differ in conformation (flat vs. brush) and the surface force caused (electrostatic vs. steric repulsion). The force profile of the two phase system is in good approximation simply the superposition of a steric and an electrostatic repulsion, whereby their respective contribution to the composed force profile is given by their area fraction. The quantitative analysis reveals that L and s of the brush phase are independent on IAds. This is remarkable, as a change in IAds is known to induce a continuous transition between a stretched (low IAds) and coiled chain conformation (high IAds) in the deposition solution (cf. [Fleer1993, Yashiro2002]). Hence, one can conclude that the conformation in solution does not necessarily correspond to the conformation after adsorption. It is also shown that the area fraction A of the brush domains strongly depends on N and IAds. For example, for constant N the scaling relation A ~ sqrt(IAds) is determined, which is very similar to the common observation that the surface coverage %Gamma of adsorbed PE layers increases also with %Gamma ~ sqrt(IAds) [Schmitt1996, Cosgrove1986, Ahrens2001, Yim2000, Gopinadhan2007, Cornelson2010]. This suggest that brush-like physisorbed PE chains are responsible for the increase in %Gamma. In fact, Section 5.6 shows that the mass of the brush phase is approx. 0.5 mg/m² which is comparable to the increase in %Gamma reported in literature for IAds = 1 M NaCl [Cosgrove1986, Schmitt1996, Ahrens2001]. As a change in IAds does not affect L and s, but solely the brush area fraction A, it is argued in Section 5.6 that an increase in IAds can be understood as a phase transition from the (disordered) flat phase towards the (ordered and extended) brush phase. Here, further theoretical considerations would be desirable.
Magnetic reconnection is a fundamental plasma process where a change in field line connectivity occurs in a current sheet at the boundary between regions of opposing magnetic fields. In this process, energy stored in the magnetic field is converted into kinetic and thermal energy, which provides a source of plasma heating and energetic particles. Magnetic reconnection plays a key role in many space and laboratory plasma phenomena, e.g. solar flares, Earth’s magnetopause dynamics and instabilities in tokamaks. A new linear device (VINETAII) has been designed for the study of the fundamental physical processes involved in magnetic reconnection. The plasma parameters are such that magnetic reconnection occurs in a collision-dominated regime. A plasma gun creates a localized current sheet, and magnetic reconnection is driven by modulating the plasma current and the magnetic field structure. The plasma current is shown to flow in response to a combination of an externally induced electric field and electrostatic fields in the plasma, and is highly affected by axial sheath boundary conditions. Further, the current is changed by an additional axial magnetic field (guide field), and the current sheet geometry was demonstrated to be set by a combination of magnetic mapping and cross-field plasma diffusion. With increasing distance from the plasma gun, magnetic mapping results in an increase of the current sheet length and a decrease of the width. The control parameter is the ratio of the guide field to the reconnection magnetic field strength. Cross-field plasma diffusion leads to a radial expansion of the current sheet at low guide fields. Plasma currents are also observed in the azimuthal plane and were found to originate from a combination of the field-aligned current component and the diamagnetic current generated by steep in-plane pressure gradients in combination with the guide field. The reconnection rate, defined via the inductive electric field, is shown to be directly linked to the time-derivative of the plasma current. The reconnection rate decreases with increasing ratio of the guide field to the reconnection magnetic field strength, which is attributed to the plasma current dependency on axial boundary conditions and the plasma gun discharge. The above outlined results offer insights into the complex interaction between magnetic fields, electric fields, and the localized current flows during reconnection.
Turbulence is a state of a physical system characterized by a high degree of spatiotemporal disorder. Turbulent processes are driven by instabilities exhibiting complex nonlinear dynamics, which span over several spatial as well as temporal scales. Apart from fluids and gases, turbulence is observed in plasmas. While turbulent mixing of a system is sometimes a desired effect, often turbulence is an undesired state. In hot, magnetically confined plasmas, envisaged for energy generation by thermonuclear fusion, plasma turbulence is clearly a problem, since the magnetic confinement time is drastically deteriorated by turbulent transport. Hence, a control mechanism to influence and to suppress turbulence is of significance for future fusion power devices. An important area of plasma turbulence is drift wave turbulence. Drift waves are characterized by currents parallel to the ambient magnetic field, that are tightly coupled to a coherent mode structure rotating in the perpendicular plane. In the present work, the control of drift waves and drift wave turbulence is experimentally investigated in the linear magnetized helicon experiment VINETA. Two different open-loop control systems - electrostatic and electromagnetic - are used to drive dynamically parallel currents. It is observed that the dynamics of the drift waves can be significantly influenced by both control schemes. If the imposed mode number as well as the rotation direction match those of the drift waves, classical synchronization effects like, e.g., frequency locking, frequency pulling, and Arnold tongues are observed. These confirm the nonlinear interaction between the control signal and the drift wave dynamics. Finally, the broadband drift wave turbulence, and thereby turbulent transport, is considerably reduced if the applied control signal is sufficiently large in amplitude.
The central aim of this thesis was the investigation of protein/polyanion interaction using circular dichroism (CD) spectroscopy, enzyme immune assay (EIA), isothermal titration calorimetry (ITC) and flow cytometry (FC). A further aim was to understand why an endogenous protein becomes immuno-genic when forming a complex. The focus was on the protein platelet factor (PF4), which gained wide interest in the clinical field, due to its role in the life-threatening, immune-driven, adverse drug effect heparin-induced thrombocytopenia (HIT). PF4 is a small homotetrameric chemokine with several basic amino acids on its surface, forming a positively charged ring. The antibodies that are formed during HIT recognize an epitope exposed on PF4, when it is in a complex with heparin at a certain molar ratio at which, PF4 tetramers are aligned on the heparin and forced into close approximation. The main results and conclusions of the thesis are summarized below: 5.1 Evolutionary Conservation of PF4 (Paper I – PF4/Evolution) By carrying out an amino acid sequence survey we found that the positively charged amino acids contributing to the heparin binding site on the surface of PF4 and related proteins are highly conserved in all vertebrates, including fish species. PF4 interacts with the phospholipid lipid A, the innermost part of the lipopolysaccharide (LPS) of Gram negative bacteria. We showed that the shorter the sugar chain of the O antigen, outer and inner core of the LPS were the more PF4 was binding. The interaction of PF4 with lipid A is inhibited by heparin, suggesting that the amino acids known to contribute to heparin binding are also involved in binding to lipid A. 5.2 PF4 Interaction with Polyanions (PA) of varying Length and Degree of Sulfation (Paper II – PF4/PA) CD spectroscopy was found to be a powerful technique to monitor structural changes of PF4 caused by binding to various clinically relevant polyanions. Therefore PF4 was titrated with different PA to investigate the dependencies: i. impact of the PF4:PA molar ratio, ii. degree of polymerization of the PA and iii. degree of sulfation of the PA. In all cases, exposure of HIT-relevant epitope(s) was only observed for PA that also induced changes in secondary structure of PF4. A comparison of results of an immune ¬assay with CD spectroscopic data showed that the extent of complex anti¬genicity correlates well with the magnitude of changes in PF4 secondary structure, and that the structural changes of PF4 have to exceed a certain threshold to achieve PF4/PA complex antigenicity. These findings allowed us to calculate expectation intervals for complex antigenicity solely using CD spectroscopic data. To our knowledge, this was the first demonstration that the capability of drugs to induce antigenicity of PF4 can be assessed without the necessity of in vivo studies or the use of antibodies obtained from immunized patients specific for the antigens. The antigenicity of PF4 in complex is not restricted to negative charges originating from sulfate groups, PA with phosphate groups are also capable (binding to phospholipids). We investigated inorganic polyphosphates (polyP) with a chain length of 75 Pi and showed that the induced secondary structural changes are even higher compared to the changes induced by the different heparins and that the PF4/P75 complexes are antigenic as well. 5.3 PF4 Interaction with defined oligomeric Heparins (Paper III – PF4/defined Heparins) We tested highly purified, monodisperse heparins. In contrast to the clinically relevant but relatively undefined (high polydispersity index) glycosamino glycans reported in paper II (PF4/PA). The defined heparins induced higher secondary structural changes. Here we showed for the first time that strong conformational changes during PF4/PA complex formation are necessary but not sufficient for to the expression of the anti-PF4/heparin antibody binding site. Also, the size of the complexes is not the only prerequisite for anti-PF4/heparin antibody binding (tested by atomic force microscopy). By ITC we found that antigenicity is only induced if the PF4/PA complex has a high binding enthalpy and the complex formation leads to a negative change in entropy. 5.4 PF4/Polyphosphates (polyP) Complex Antigenicity and Interaction with Escherichia coli (E. coli, Paper IV – PF4/polyP) PolyP with chain lengths of 45 Pi and 75 Pi induced remarkable secondary structural changes in the PF4 molecule, thereby exposing the epitope recognized by anti-PF4/heparin antibodies. The induced conformational changes were similar to the changes induced by the defined heparins. Again a high binding enthalpy was observed but here in connection with a positive change in entropy. Further we showed that polyP (≥45 Pi) enhance PF4 binding to the surface of Gram negative E. coli at intermediate concentration and disrupt the binding at elevated polyP concentrations. The increased amounts of PF4 on the bacterial surface also improved the binding of anti-PF4/heparin antibodies and thereby the phagocytosis of the bacteria by poly¬morpho¬nuclear leucocytes. 5.5 Nucleic acid based Aptamers induce structural Changes in the PF4 Molecule (Paper V – PF4/Aptamer) Nucleic acids are another class of molecules containing phosphate groups. Especially after cell damage their extra¬cellular concentration can be locally quite high (>2 mg/ml). We found that certain aptamers form complexes with PF4 and thereby inducing anti-PF4/aptamer antibodies which cross-react with PF4/heparin complexes. Moreover by CD spectroscopy we showed that the protein C-aptamer caused similar secondary structural changes of PF4 like heparin, but already at much lower concentration. The maximally induced changes by the protein-C aptamer were even higher and persisted over a broader concentration range. 5.6 Protamine Interaction with Heparin (Paper VI – PS/Heparin) After the intensive investigation of the complex formation between PF4 and many different classes of PA we assessed another protein for structural changes upon complex formation with heparin. Protamine (PS) a protein in routinely used in post-cardiac surgery to reverse the anticoagulant effects of heparin was found to unfold but not to refold with increasing concentration of PA in solution. 5.7 Conclusion and Outlook When starting this thesis, it was believed that repetitive structures formed by PF4 on a heparin chain mold the epitope recognized by antibodies inducing HIT. These repetitive structures might exhibit similarities with viral capsids and are therefore recognized by the immune system of some patients. We found that induced by the close approximation PF4 changes its conformation, thereby exposing a neoepitope. The conserved positively charged amino acids of the heparin binding site and the involvement of these amino acids in the binding to lipid A confirm our hypothesis of PF4 as part of an ancient immune-mediated host defense mechanism. As possible consequence of the “primitive mechanism of defense” the highly variable O-antigens of LPS might have significantly contributed to an efficient escape mechanism by hiding the structures that made the bacteria vulnerable. In turn polyP might be an adaption of the host improve pathogen recognition by PF4 and further by antibodies inducing phagocytosis of the PF4-marked objects. Although shown only for PF4 and PS, our findings might be applicable to other proteins that also express epitopes upon changes in their secondary structure. Our physicochemical methods may further be applied: i. to drug development for the prediction of antigenicity induced by polyanionic drugs, ii. to guide the development of synthetic heparins and other polyanion based drugs, e.g. aptamers, that do not lead to HIT and iii. to provide relevant aspects for other biological functions of heparins.
Impurity ions pose a potentially serious threat to fusion plasma performance by affecting the confinement in various, usually deleterious, ways. Due to the creation of helium ash during fusion reactions and the interaction of the plasma with the wall components, which makes it possible for heavy ions to penetrate into the core plasma, impurities can intrinsically not be avoided. Therefore, it is essential to study their behaviour in the fusion plasma in detail. Within the framework of this thesis, different problems arising in connection with impurities have been investigated. 1. Collisional damping of zonal flows in tokamkas: The effect of impurities on the collisional damping of zonal flows is investigated. Since the Coulomb collision frequency increases with increasing ion charge, heavy, highly charged impurities play an important role in this process. The effect of such impurities on the linear response of the plasma to an external potential perturbation, as caused by zonal flows, is calculated with analytical methods and compared with numerical simulations, resulting in good agreement. 2. Impurity transport driven by microturbulence in tokamaks: Fine scale turbulence driven by microinstabilities is a source of particle and heat transport in a fusion reactor. A semi-analytical model is presented describing the resulting impurity fluxes and the stability boundary of the underlying mode. The results are compared with numerical simulations. Both the impurity flux and the stability boundary are found to depend strongly on the plasma parameters such as the impurity density and the temperature gradient. 3. Pfirsch-Schlüter transport in stellarators: Due to geometry effects, collisional transport plays a much more prominent role in stellarators than in tokamaks. Analytical expressions for the particle and heat fluxes in an impure, collisional plasma are derived from first principles. Contrary to the tokamak case, where collisional transport is exclusively caused directly by friction, in stellarators an additional source of transport exists, namely pressure anisotropy. Since this term is, contrary to the contribution from friction, non-ambipolar, it plays an important role regarding the ambipolar electric field. Furthermore, the behaviour of heavy impurities in the presence of strong radial temperature and density gradients is studied, which lead to a redistribution of the impurities on the flux surfaces. As a consequence, the radial impurity flux is decreased considerably compared with a plasma in which the impurities are evenly distributed on the flux surfaces.