Estudos sobre as defasagens de Prometeu e Pandora

Pós-graduação em Física - FEG

On nonlinear dynamics behavior and control of a new model of a magnetically levitated vibrating system, excited by an unbalanced DC motor of limited power supply

We analyze new results on a magnetically levitated body (a block including a magnet whose bottom pole is set in such a way as to repel the upper pole of a magnetic base) excited by a non-ideal energy source (an unbalanced electric motor of limited power supply). These new results are related to the jump phenomena and increase of power required of such sources near resonance are manifestations of a non-ideal system and they are referred as the Sommerfeld effect, which emulates an energy sink. In this work, we also discuss control strategies to be applied to this system, in resonance conditions, in order to decrease its vibration amplitude and avoiding this apparent energy sink.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Solvation in aqueous binary mixtures: consequences of the hydrophobic character of the ionic liquids and the solvatochromic probes

Information on the solvation in mixtures of water, W, and the ionic liquids, ILs, 1-allyl-3-R-imidazolium chlorides; R = methyl, 1-butyl, and 1-hexyl, has been obtained from the responses of the following solvatochromic probes: 2,6-dibromo-4-[(E)-2-(1-R-pyridinium-4-yl)ethenyl] phenolate, R = methyl, MePMBr2; 1-octyl, OcPMBr(2), and the corresponding quinolinium derivative, MeQMBr(2). A model developed for solvation in binary mixtures of W and molecular solvents has been extended to the present mixtures. Our objective is to assess the relevance to solvation of hydrogen-bonding and the hydrophobic character of the IL and the solvatochromic probe. Plots of the medium empirical polarity, E-T(probe) versus its composition revealed non-ideal behavior, attributed to preferential solvation by the IL and, more efficiently, by the IL-W hydrogen-bonded complex. The deviation from linearity increases as a function of increasing number of carbon atoms in the alkyl group of the IL, and is larger than that observed for solvation by W plus molecular solvents (1-propanol and 2-(1-butoxy)ethanol) that are more hydrophobic than the ILs investigated. This enhanced deviation is attributed to the more organized structure of the ILs proper, which persists in their aqueous solutions. MeQMBr(2) is more susceptible to solvent lipophilicity than OcPMBr(2), although the former probe is less lipophilic. This enhanced susceptibility agrees with the important effect of annelation on the contributions of the quinonoid and zwitterionic limiting structures to the ground and excited states of the probe, hence on its response to both medium composition and lipophilicity of the IL.

Dynamical changes from harmonic vibrations of a limited power supply driving a Duffing oscillator

The harmonic oscillations of a Duffing oscillator driven by a limited power supply are investigated as a function of the alternative strength of the rotor. The semi-trivial and non-trivial solutions are derived. We examine the stability of these solutions and then explore the complex behaviors associated with the bifurcations sequences. Interestingly, a 3D diagram provides a global view of the effects of alternate strength on the appearance of chaos and hyperchaos on the system.

FINDING FOSSIL GROUPS: OPTICAL IDENTIFICATION AND X-RAY CONFIRMATION

We report the discovery of 12 new fossil groups (FGs) of galaxies, systems dominated by a single giant elliptical galaxy and cluster-scale gravitational potential, but lacking the population of bright galaxies typically seen in galaxy clusters. These FGs, selected from the maxBCG optical cluster catalog, were detected in snapshot observations with the Chandra X-ray Observatory. We detail the highly successful selection method, with an 80% success rate in identifying 12 FGs from our target sample of 15 candidates. For 11 of the systems, we determine the X-ray luminosity, temperature, and hydrostatic mass, which do not deviate significantly from expectations for normal systems, spanning a range typical of rich groups and poor clusters of galaxies. A small number of detected FGs are morphologically irregular, possibly due to past mergers, interaction of the intra-group medium with a central active galactic nucleus (AGN), or superposition of multiple massive halos. Two-thirds of the X-ray-detected FGs exhibit X-ray emission associated with the central brightest cluster galaxy (BCG), although we are unable to distinguish between AGN and extended thermal galaxy emission using the current data. This sample representing a large increase in the number of known FGs, will be invaluable for future planned observations to determine FG temperature, gas density, metal abundance, and mass distributions, and to compare to normal (non-fossil) systems. Finally, the presence of a population of galaxy-poor systems may bias mass function determinations that measure richness from galaxy counts. When used to constrain power spectrum normalization and Omega(m), these biased mass functions may in turn bias these results.

Numerical simulations of magma chamber dynamics at Campi Flegrei, and associated seismicity, deformation and gravity changes

Understanding the complex relationships between quantities measured by volcanic monitoring network and shallow magma processes is a crucial headway for the comprehension of volcanic processes and a more realistic evaluation of the associated hazard. This question is very relevant at Campi Flegrei, a volcanic quiescent caldera immediately north-west of Napoli (Italy). The system activity shows a high fumarole release and periodic ground slow movement (bradyseism) with high seismicity. This activity, with the high people density and the presence of military and industrial buildings, makes Campi Flegrei one of the areas with higher volcanic hazard in the world. In such a context my thesis has been focused on magma dynamics due to the refilling of shallow magma chambers, and on the geophysical signals detectable by seismic, deformative and gravimetric monitoring networks that are associated with this phenomenologies. Indeed, the refilling of magma chambers is a process frequently occurring just before a volcanic eruption; therefore, the faculty of identifying this dynamics by means of recorded signal analysis is important to evaluate the short term volcanic hazard. The space-time evolution of dynamics due to injection of new magma in the magma chamber has been studied performing numerical simulations with, and implementing additional features in, the code GALES (Longo et al., 2006), recently developed and still on the upgrade at the Istituto Nazionale di Geofisica e Vulcanologia in Pisa (Italy). GALES is a finite element code based on a physico-mathematical two dimensional, transient model able to treat fluids as multiphase homogeneous mixtures, compressible to incompressible. The fundamental equations of mass, momentum and energy balance are discretised both in time and space using the Galerkin Least-Squares and discontinuity-capturing stabilisation technique. The physical properties of the mixture are computed as a function of local conditions of magma composition, pressure and temperature.The model features enable to study a broad range of phenomenologies characterizing pre and sin-eruptive magma dynamics in a wide domain from the volcanic crater to deep magma feeding zones. The study of displacement field associated with the simulated fluid dynamics has been carried out with a numerical code developed by the Geophysical group at the University College Dublin (O’Brien and Bean, 2004b), with whom we started a very profitable collaboration. In this code, the seismic wave propagation in heterogeneous media with free surface (e.g. the Earth’s surface) is simulated using a discrete elastic lattice where particle interactions are controlled by the Hooke’s law. This method allows to consider medium heterogeneities and complex topography. The initial and boundary conditions for the simulations have been defined within a coordinate project (INGV-DPC 2004-06 V3_2 “Research on active volcanoes, precursors, scenarios, hazard and risk - Campi Flegrei”), to which this thesis contributes, and many researchers experienced on Campi Flegrei in volcanological, seismic, petrological, geochemical fields, etc. collaborate. Numerical simulations of magma and rock dynamis have been coupled as described in the thesis. The first part of the thesis consists of a parametric study aimed at understanding the eect of the presence in magma of carbon dioxide in magma in the convection dynamics. Indeed, the presence of this volatile was relevant in many Campi Flegrei eruptions, including some eruptions commonly considered as reference for a future activity of this volcano. A set of simulations considering an elliptical magma chamber, compositionally uniform, refilled from below by a magma with volatile content equal or dierent from that of the resident magma has been performed. To do this, a multicomponent non-ideal magma saturation model (Papale et al., 2006) that considers the simultaneous presence of CO2 and H2O, has been implemented in GALES. Results show that the presence of CO2 in the incoming magma increases its buoyancy force promoting convection ad mixing. The simulated dynamics produce pressure transients with frequency and amplitude in the sensitivity range of modern geophysical monitoring networks such as the one installed at Campi Flegrei . In the second part, simulations more related with the Campi Flegrei volcanic system have been performed. The simulated system has been defined on the basis of conditions consistent with the bulk of knowledge of Campi Flegrei and in particular of the Agnano-Monte Spina eruption (4100 B.P.), commonly considered as reference for a future high intensity eruption in this area. The magmatic system has been modelled as a long dyke refilling a small shallow magma chamber; magmas with trachytic and phonolitic composition and variable volatile content of H2O and CO2 have been considered. The simulations have been carried out changing the condition of magma injection, the system configuration (magma chamber geometry, dyke size) and the resident and refilling magma composition and volatile content, in order to study the influence of these factors on the simulated dynamics. Simulation results allow to follow each step of the gas-rich magma ascent in the denser magma, highlighting the details of magma convection and mixing. In particular, the presence of more CO2 in the deep magma results in more ecient and faster dynamics. Through this simulations the variation of the gravimetric field has been determined. Afterward, the space-time distribution of stress resulting from numerical simulations have been used as boundary conditions for the simulations of the displacement field imposed by the magmatic dynamics on rocks. The properties of the simulated domain (rock density, P and S wave velocities) have been based on data from literature on active and passive tomographic experiments, obtained through a collaboration with A. Zollo at the Dept. of Physics of the Federici II Univeristy in Napoli. The elasto-dynamics simulations allow to determine the variations of the space-time distribution of deformation and the seismic signal associated with the studied magmatic dynamics. In particular, results show that these dynamics induce deformations similar to those measured at Campi Flegrei and seismic signals with energies concentrated on the typical frequency bands observed in volcanic areas. The present work shows that an approach based on the solution of equations describing the physics of processes within a magmatic fluid and the surrounding rock system is able to recognise and describe the relationships between geophysical signals detectable on the surface and deep magma dynamics. Therefore, the results suggest that the combined study of geophysical data and informations from numerical simulations can allow in a near future a more ecient evaluation of the short term volcanic hazard.

Elektrokinetik konzentrierter kolloidaler Suspensionen

In dieser Arbeit wurden wässrige Suspensionen ladungsstabilisierter kolloidaler Partikel bezüglich ihres Verhaltens unter dem Einfluss elektrischer Felder untersucht. Insbesondere wurde die elektrophoretische Mobilität µ über einen weiten Partikelkonzentrationsbereich studiert, um das individuelle Verhalten einzelner Partikel mit dem bisher nur wenig untersuchten kollektiven Verhalten von Partikelensembles (speziell von fluid oder kristallin geordneten Ensembles) zu vergleichen. Dazu wurde ein superheterodynes Dopplervelocimetrisches Lichtstreuexperiment mit integraler und lokaler Datenerfassung konzipiert, das es erlaubt, die Geschwindigkeit der Partikel in elektrischen Feldern zu studieren. Das Experiment wurde zunächst erfolgreich im Bereich nicht-ordnender und fluid geordneter Suspensionen getestet. Danach konnte mit diesem Gerät erstmals das elektrophoretische Verhalten von kristallin geordneten Suspensionen untersucht werden. Es wurde ein komplexes Fließverhalten beobachtet und ausführlich dokumentiert. Dabei wurden bisher in diesem Zusammenhang noch nicht beobachtete Effekte wie Blockfluss, Scherbandbildung, Scherschmelzen oder elastische Resonanzen gefunden. Andererseits machte dieses Verhalten die Entwicklung einer neuen Auswertungsroutine für µ im kristallinen Zustand notwendig, wozu die heterodyne Lichtstreutheorie auf den superheterodynen Fall mit Verscherung erweitert werden musste. Dies wurde zunächst für nicht geordnete Systeme durchgeführt. Diese genäherte Beschreibung genügte, um unter den gegebenen Versuchbedingungen auch das Lichtstreuverhalten gescherter kristalliner Systeme zu interpretieren. Damit konnte als weiteres wichtiges Resultat eine generelle Mobilitäts-Konzentrations-Kurve erhalten werden. Diese zeigt bei geringen Partikelkonzentrationen den bereits bekannten Anstieg und bei mittleren Konzentrationen ein Plateau. Bei hohen Konzentrationen sinkt die Mobilität wieder ab. Zur Interpretation dieses Verhaltens bzgl. Partikelladung stehen derzeit nur Theorien für nicht wechselwirkende Partikel zur Verfügung. Wendet man diese an, so findet man eine überraschend gute Übereinstimmung der elektrophoretisch bestimmten Partikelladung Z*µ mit numerisch bestimmten effektiven Partikelladungen Z*PBC.

Geometric and Combinatorial Aspects of NonEquilibrium Statistical Mechanics

Non-Equilibrium Statistical Mechanics is a broad subject. Grossly speaking, it deals with systems which have not yet relaxed to an equilibrium state, or else with systems which are in a steady non-equilibrium state, or with more general situations. They are characterized by external forcing and internal fluxes, resulting in a net production of entropy which quantifies dissipation and the extent by which, by the Second Law of Thermodynamics, time-reversal invariance is broken. In this thesis we discuss some of the mathematical structures involved with generic discrete-state-space non-equilibrium systems, that we depict with networks in all analogous to electrical networks. We define suitable observables and derive their linear regime relationships, we discuss a duality between external and internal observables that reverses the role of the system and of the environment, we show that network observables serve as constraints for a derivation of the minimum entropy production principle. We dwell on deep combinatorial aspects regarding linear response determinants, which are related to spanning tree polynomials in graph theory, and we give a geometrical interpretation of observables in terms of Wilson loops of a connection and gauge degrees of freedom. We specialize the formalism to continuous-time Markov chains, we give a physical interpretation for observables in terms of locally detailed balanced rates, we prove many variants of the fluctuation theorem, and show that a well-known expression for the entropy production due to Schnakenberg descends from considerations of gauge invariance, where the gauge symmetry is related to the freedom in the choice of a prior probability distribution. As an additional topic of geometrical flavor related to continuous-time Markov chains, we discuss the Fisher-Rao geometry of nonequilibrium decay modes, showing that the Fisher matrix contains information about many aspects of non-equilibrium behavior, including non-equilibrium phase transitions and superposition of modes. We establish a sort of statistical equivalence principle and discuss the behavior of the Fisher matrix under time-reversal. To conclude, we propose that geometry and combinatorics might greatly increase our understanding of nonequilibrium phenomena.

Fluidodinamica biomedica computazionale del flusso sanguigno in presenza di affezioni strumentali e/o patologiche

La tesi di Dottorato studia il flusso sanguigno tramite un codice agli elementi finiti (COMSOL Multiphysics). Nell’arteria è presente un catetere Doppler (in posizione concentrica o decentrata rispetto all’asse di simmetria) o di stenosi di varia forma ed estensione. Le arterie sono solidi cilindrici rigidi, elastici o iperelastici. Le arterie hanno diametri di 6 mm, 5 mm, 4 mm e 2 mm. Il flusso ematico è in regime laminare stazionario e transitorio, ed il sangue è un fluido non-Newtoniano di Casson, modificato secondo la formulazione di Gonzales & Moraga. Le analisi numeriche sono realizzate in domini tridimensionali e bidimensionali, in quest’ultimo caso analizzando l’interazione fluido-strutturale. Nei casi tridimensionali, le arterie (simulazioni fluidodinamiche) sono infinitamente rigide: ricavato il campo di pressione si procede quindi all’analisi strutturale, per determinare le variazioni di sezione e la permanenza del disturbo sul flusso. La portata sanguigna è determinata nei casi tridimensionali con catetere individuando tre valori (massimo, minimo e medio); mentre per i casi 2D e tridimensionali con arterie stenotiche la legge di pressione riproduce l’impulso ematico. La mesh è triangolare (2D) o tetraedrica (3D), infittita alla parete ed a valle dell’ostacolo, per catturare le ricircolazioni. Alla tesi sono allegate due appendici, che studiano con codici CFD la trasmissione del calore in microcanali e l’ evaporazione di gocce d’acqua in sistemi non confinati. La fluidodinamica nei microcanali è analoga all’emodinamica nei capillari. Il metodo Euleriano-Lagrangiano (simulazioni dell’evaporazione) schematizza la natura mista del sangue. La parte inerente ai microcanali analizza il transitorio a seguito dell’applicazione di un flusso termico variabile nel tempo, variando velocità in ingresso e dimensioni del microcanale. L’indagine sull’evaporazione di gocce è un’analisi parametrica in 3D, che esamina il peso del singolo parametro (temperatura esterna, diametro iniziale, umidità relativa, velocità iniziale, coefficiente di diffusione) per individuare quello che influenza maggiormente il fenomeno.

Ion channels in mixed tethered bilayer lipid membranes

Mixed tethered bilayer lipid membranes (tBLMs) are described based on the self-assembly of a monolayer on template stripped gold, of an archea analogue thiolipid, 2,3-di-o-phytanyl-sn-glycerol-1-tetraethylene glycol-D,L--lipoic acid ester lipid (DPTL), and a newly designed dilution molecule, tetraethylene glycol-D,L--lipoic acid ester (TEGL). The usage of spacer and addition of extra dilution molecules between the substrate and the bilayer is that this architecture provides an ionic reservoir underneath the membrane, avoiding direct contact of the embedded membrane proteins with the gold electrodes and increasing the lateral diffusion of the bilayer, thus allowing for the incorporation of complex channels proteins which are failed in non-diluted systems. The tBLM is completed by fusion of liposomes made from a mixture of 1,2-diphythanolyl-sn-glycero-3-phosphocholine (DPhyPC), cholesterol, and 1,2-diphytanoyl-sn-Glycero-3-phosphate (DPhyPG) in a molar ratio of 6:3:1. Varying the mixing ratio, the optimum mixing ratio was obtained at a dilution factor of DPTL and TEGL at 90%:10%. Only under these conditions, the mixed tBLM showed electrical properties, as shown by EIS, which are comparable to a BLM. With higher dilution factors, a defect-free lipid bilayer was not formed. Formation of bilayers have been characterized by different techniques, such as surface plasmon resonance (SPR), electrochemical impedance spectroscopy (EIS), atomic force microscopy (AFM), and quartz crystal microbalance (QCM). Different proteins such as hemolysin, melittin, gramicidin, M2, Maxi-K, nAChR and bacteriohodopsin are incorporated into these tBLMs as shown by SPR and EIS studies. Ionic conductivity at 0 V vs. Ag|AgCl, 3M KCl were measured by EIS measurements. Our results indicate that these proteins have been successfully incorporated into a very stable tBLM environment in a functionally active form. Therefore, we conclude that the mixed tBLMs have been successfully designed as a general platform for biosensing and screening purposes of membrane proteins.

Model reduction techniques in flexible multibody dynamics with application to engine cranktrain simulation

The development of a multibody model of a motorbike engine cranktrain is presented in this work, with an emphasis on flexible component model reduction. A modelling methodology based upon the adoption of non-ideal joints at interface locations, and the inclusion of component flexibility, is developed: both are necessary tasks if one wants to capture dynamic effects which arise in lightweight, high-speed applications. With regard to the first topic, both a ball bearing model and a journal bearing model are implemented, in order to properly capture the dynamic effects of the main connections in the system: angular contact ball bearings are modelled according to a five-DOF nonlinear scheme in order to grasp the crankshaft main bearings behaviour, while an impedance-based hydrodynamic bearing model is implemented providing an enhanced operation prediction at the conrod big end locations. Concerning the second matter, flexible models of the crankshaft and the connecting rod are produced. The well-established Craig-Bampton reduction technique is adopted as a general framework to obtain reduced model representations which are suitable for the subsequent multibody analyses. A particular component mode selection procedure is implemented, based on the concept of Effective Interface Mass, allowing an assessment of the accuracy of the reduced models prior to the nonlinear simulation phase. In addition, a procedure to alleviate the effects of modal truncation, based on the Modal Truncation Augmentation approach, is developed. In order to assess the performances of the proposed modal reduction schemes, numerical tests are performed onto the crankshaft and the conrod models in both frequency and modal domains. A multibody model of the cranktrain is eventually assembled and simulated using a commercial software. Numerical results are presented, demonstrating the effectiveness of the implemented flexible model reduction techniques. The advantages over the conventional frequency-based truncation approach are discussed.

Grundlegende Untersuchungen zum Verhalten ausgewählter Seltenerdelemente bei Explosionen und zur Anwendbarkeit spezieller Methoden zu deren Analyse

Bisher ist bei forensischen Untersuchungen von Explosionen die Rückverfolgung der verwendeten Sprengstoffe begrenzt, da das Material in aller Regel bei der Explosion zerstört wird. Die Rückverfolgung von Sprengstoffen soll mit Hilfe von Identifikations-Markierungssubstanzen erleichtert werden. Diese stellen einen einzigartigen Code dar, der auch nach einer Sprengung wiedergefunden und identifiziert werden kann. Die dem Code zugeordneten, eindeutigen Informationen können somit ausgelesen werden und liefern der Polizei bei der Aufklärung weitere Ansätze.rnZiel der vorliegenden Arbeit ist es, das Verhalten von ausgewählten Seltenerdelementen (SEE) bei Explosion zu untersuchen. Ein auf Lanthanoidphosphaten basierender Identifikations-Markierungsstoff bietet die Möglichkeit, verschiedene Lanthanoide innerhalb eines einzelnen Partikels zu kombinieren, wodurch eine Vielzahl von Codes generiert werden kann. Somit kann eine Veränderung der Ausgangszusammensetzung des Codes auch nach einer Explosion durch die Analyse eines einzelnen Partikels sehr gut nachvollzogen und somit die Eignung des Markierungsstoffes untersucht werden. Eine weitere Zielsetzung ist die Überprüfung der Anwendbarkeit der Massenspektrometrie mit induktiv gekoppeltem Plasma (ICP-MS) und Partikelanalyse mittels Rasterelektronenmikroskopie (REM) für die Analyse der versprengten Identifikations-Markierungssubstanzen. rnDie Ergebnisbetrachtungen der ICP-MS-Analyse und REM-Partikelanalyse deuten zusammenfassend auf eine Fraktionierung der untersuchten Lanthanoide oder deren Umsetzungsprodukte nach Explosion in Abhängigkeit ihrer thermischen Belastbarkeit. Die Befunde zeigen eine Anreicherung der Lanthanoide mit höherer Temperaturbeständigkeit in größeren Partikeln, was eine Anreicherung von Lanthanoiden mit niedrigerer Temperaturbeständigkeit in kleineren Partikeln impliziert. Dies lässt sich in Ansätzen durch einen Fraktionierungsprozess in Abhängigkeit der Temperaturstabilität der Lanthanoide oder deren Umsetzungsprodukten erklären. Die der Fraktionierung zugrunde liegenden Mechanismen und deren gegenseitige Beeinflussung bei einer Explosion konnten im Rahmen dieser Arbeit nicht abschließend geklärt werden.rnDie generelle Anwendbarkeit und unter Umständen notwendige, komplementäre Verwendung der zwei Methoden ICP-MS und REM-Partikelanalyse wird in dieser Arbeit gezeigt. Die ICP-MS stellt mit großer untersuchter Probenfläche und hoher Genauigkeit eine gute Methode zur Charakterisierung der Konzentrationsverhältnisse der untersuchten Lanthanoide dar. Die REM-Partikelanalyse hingegen ermöglicht im Falle von Kontamination der Proben mit anderen Lanthanoid-haltigen Partikeln eine eindeutige Differenzierung der Elementvergesellschaftung pro Partikel. Sie kann somit im Gegensatz zur ICP-MS Aufschluss über die Art und Zusammensetzung der Kontamination geben. rnInnerhalb der vorgenommenen Untersuchungen stellte die bei der ICP-MS angewandte Probennahmetechnik eine ideale Art der Probennahme dar. Bei anderen Oberflächen könnte diese jedoch in Folge der in verschiedenen Partikelgrößen resultierenden Fraktionierung zu systematisch verfälschten Ergebnissen führen. Um die generelle Anwendbarkeit der ICP-MS im Hinblick auf die Analyse versprengter Lanthanoide zu gewährleisten, sollte eine Durchführung weiterer Sprengungen auf unterschiedlichen Probenoberflächen erfolgen und gegebenenfalls weitere Probennahme-, Aufschluss- und Anreicherungsverfahren evaluiert werden.rn

The dynamics of ultra-thin polymer films in different confinements studied by resonance enhanced dynamic light scattering

Die Kontroverse über den Glasübergang im Nanometerbereich, z. B. die Glas¬über¬gangs-temperatur Tg von dünnen Polymerfilmen, ist nicht vollständig abgeschlossen. Das dynamische Verhalten auf der Nanoskala ist stark von den einschränkenden Bedingungen abhängig, die auf die Probe wirken. Dünne Polymerfilme sind ideale Systeme um die Dynamik von Polymerketten unter der Einwirkung von Randbedingungen zu untersuchen, wie ich sie in dieser Arbeit variiert habe, um Einblick in dieses Problem zu erhalten.rnrnResonanzverstärkte dynamische Lichtstreuung ist eine Methode, frei von z.B. Fluoreszenzmarkern, die genutzt werden kann um in dünnen Polymerfilmen dynamische Phänomene