Notes on the Third Law of Thermodynamics.I

We analyze some aspects of the third law of thermodynamics. We first review both the entropic version (N) and the unattainability version (U) and the relation occurring between them. Then, we heuristically interpret (N) as a continuity boundary condition for thermodynamics at the boundary T=0 of the thermodynamic domain. On a rigorous mathematical footing, we discuss the third law both in Carath\'eodory's approach and in Gibbs' one. Carath\'eodory's approach is fundamental in order to understand the nature of the surface T=0. In fact, in this approach, under suitable mathematical conditions, T=0 appears as a leaf of the foliation of the thermodynamic manifold associated with the non-singular integrable Pfaffian form $\delta Q_{rev}$. Being a leaf, it cannot intersect any other leaf $S=$ const. of the foliation. We show that (N) is equivalent to the requirement that T=0 is a leaf. In Gibbs' approach, the peculiar nature of T=0 appears to be less evident because the existence of the entropy is a postulate; nevertheless, it is still possible to conclude that the lowest value of the entropy has to belong to the boundary of the convex set where the function is defined.Comment: 29 pages, 2 figures; RevTex fil

Die Europäisierung der öffentlichen Aufgaben

Die zunehmende Europäisierung der öffentlichen Aufgaben ist einer der wichtigsten Trends im Wandel der Staatstätigkeit in der Bundesrepublik Deutschland und in anderen Mitgliedstaaten der Europäischen Union. In diesem Essay werden die Stufen der Europäisierung der Staatstätigkeit nachgezeichnet, in Weiterführung von Lindberg/Scheingold (1970) und Schmitter (1996) quantifiziert und hinsichtlich ihrer Kosten und ihres Nutzen erörtert. Inhalt: Stufen der Europäisierung der öffentlichen Aufgaben Der Europäisierungsgrad der öffentlichen Aufgaben von 1950 bis zum Ende des 20. Jahrhunderts Vom Nutzen und von den Kosten der Europäisierung der öffentlichen Angelegenheiten Verzeichnis der zitierten Literatu

Energy-dependent light quenching in CaWO4 crystals at mK temperatures

Scintillating CaWO4 single crystals are a promising multi-element target for rare-event searches and are currently used in the direct dark matter experiment CRESST (Cryogenic Rare Event Search with Superconducting Thermometers). The relative light output of different particle interactions in CaWO4 is quantified by quenching factors (QFs). These are essential for an active background discrimination and the identification of a possible signal induced by weakly interacting massive particles (WIMPs). We present the first precise measurements of the QFs of O, Ca and W at mK temperatures by irradiating a cryogenic detector with a fast neutron beam. A clear energy dependence of the QF of O and, less pronounced, of Ca was observed for the first time. Furthermore, in CRESST neutron-calibration data a variation of the QFs among different CaWO4 single crystals was found. For typical CRESS

A Low Nuclear Recoil Energy Threshold for Dark Matter Search with CRESST-III Detectors

The CRESST-III experiment (Cryogenic Rare Events Search with Superconducting Thermometers), located at the underground facility Laboratori Nazionali del Gran Sasso in Italy, uses scintillating CaWO₄ crystals as cryogenic calorimeters to search for direct dark matter interactions in detectors. A large part of the parameter space for spin-independent scattering off nuclei remains untested for dark matter particles with masses below a few GeV/c², despite many naturally motivated theoretical models for light dark matter particles. The CRESST-III detectors are designed to achieve the performance required to probe the low-mass region of the parameter space with a sensitivity never reached before. In this paper, new results on the performance and an overview of the CRESST-III detectors will be presented, emphasizing the results about the low-energy threshold for nuclear recoil of CRESST-III Phase 1 which started collecting data in August 2016. Keywords: Cryogenic detectors; Dark matter; Rare-event searche

Effective Protein Interactions in a Coarse-Grained Model for Lipid Membranes

West B, Schmid F. Effective Protein Interactions in a Coarse-Grained Model for Lipid Membranes. In: Münster G, Wolf D, Kremer M, John-von-Neumann-Institut für Computing, eds. NIC Symposium 2008. NIC Series. Vol 39. Jülich: John von Neumann Institute for Computing; 2008: 271-278