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We investigate the ergodic properties of a random walker performing (anomalous) diffusion on a random fractal geometry. Extensive Monte Carlo simulations of the motion of tracer particles on an ensemble of realisations of percolation clusters are performed for a wide range of percolation densities. Single trajectories of the tracer motion are analysed to quantify the time averaged mean squared displacement (MSD) and to compare this with the ensemble averaged MSD of the particle motion. Other complementary physical observables associated with ergodicity are studied, as well. It turns out that the time averaged MSD of individual realisations exhibits non-vanishing fluctuations even in the limit of very long observation times as the percolation density approaches the critical value. This apparent non-ergodic behaviour concurs with the ergodic behaviour on the ensemble averaged level. We demonstrate how the non-vanishing fluctuations in single particle trajectories are analytically expressed in terms of the fractal dimension and the cluster size distribution of the random geometry, thus being of purely geometrical origin. Moreover, we reveal that the convergence scaling law to ergodicity, which is known to be inversely proportional to the observation time T for ergodic diffusion processes, follows a power-law ∼T−h with h < 1 due to the fractal structure of the accessible space. These results provide useful measures for differentiating the subdiffusion on random fractals from an otherwise closely related process, namely, fractional Brownian motion. Implications of our results on the analysis of single particle tracking experiments are provided.
In this contribution, we provide a detailed dynamical analysis of the interfacial hydrogen migration mediated by scanning tunneling microscopy (STM). Contributions from the STM-current and from the non-adiabatic couplings are taken into account using only first principle models. The slight asymmetry of the tunnelling rates with respect to the potential bias sign inferred from experimental observations is reproduced by weighting the contributions of the metal acceptor–donor states for the propagation of the impinging electrons. The quasi-thermal inelastic collision mechanism is treated perturbatively. The influence of hydrogen pre-coverage is also investigated using new potential energy surfaces obtained from periodic density functional theory calculations. Fully quantum dynamical simulations of the system evolution are performed by solving the Pauli master equation, providing insight into the reaction mechanism of STM manipulation of subsurface hydrogens. It is observed that the hydrogen impurity favors resurfacing over occupation of the bulk and subsurface sites whenever possible. The present simulations give strong indication that the experimentally observed protuberances after STM-excitation are due to hydrogen accumulating in the vicinity of the surface.
I. Einführung
II. Die Kreaturwürde im schweizerischen
Recht – Entstehung und Konzeption
III. Inhalt und Bedeutung der Kreaturwürde
IV. Die besondere Herausforderung:
Würde der Pflanze
V. Kreaturwürde und Menschenwürde
VI. Kreaturwürde in der Gentechnologie
VII. Kreaturwürde im Tierschutz
VIII. Reflexion
In diesem Text soll zweierlei gezeigt werden. Erstens, weil Menschen Rechte haben, gibt es wenigstens einige Tiere, die Rechte haben (I.). Zweitens, wir können die Rechte von Tieren nicht willkürfrei auf die Art begrenzen, die wir selber bilden; Menschen sind nicht die einzigen Tiere, die Rechte haben (II.).
Frontale Präsenz
(2015)
Ein bislang unveröffentlichtes Porträt Alexander von Humboldts aus der Hand Frédéric d’Houdetots, ein Schüler des Malers Jacques-Louis David, bereichert die Humboldt-Ikonographie um eine Darstellung, die den berühmten Reisenden und Gelehrten als jungen Mann, wenige Jahre nach seiner Rückkehr aus Amerika zeigt – beeindruckend lebendig, fokussiert und präsent. Das 1807 während der Franzosenzeit in Berlin entstandene Porträt verweist als Teil eines im Conseil d’État in Paris aufbewahrten Porträt-Albums auf die Zirkel und Beziehungen, die sich in der besetzten preußischen Hauptstadt zwischen Besatzern, jüdischen Salonkreisen und der wissenschaftlichen Community gebildet haben, ein Nährboden für den transnationalen Austausch von Vertretern einer jungen und vitalen Generation, die sich als echte Europäer verstanden.
Nachlassgeschichten
(2015)
Der Artikel schildert die Geschichte verschiedener Teile des Manuskriptnachlasses Alexander von Humboldts, die sich heute in der Staatsbibliothek zu Berlin – Preußischer Kulturbesitz (SBB) und in der Biblioteka Jagiellońska in Krakau (BJ) befinden. Dabei wird insbesondere auf den unterschiedlichen ‚Quellenwert‘ der drei großen Nachlassabteilungen – der amerikanischen Reisetagebücher, der Kollektaneen zum Kosmos (beide SBB) und dem sogenannten Nachlass Alexander von Humboldt (BJ) – eingegangen.