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In this paper, the concepts of microscopic transport theory are introduced and the features and shortcomings of the most commonly used ansatzes are discussed. In particular, the Ultrarelativistic Quantum Molecular Dynamics (UrQMD) transport model is described in great detail. Based on the same principles as QMD and RQMD, it incorporates a vastly extended collision term with full baryon-antibaryon symmetry, 55 baryon and 32 meson species. Isospin is explicitly treated for all hadrons. The range of applicability stretches from E lab < 100$ MeV/nucleon up to E lab> 200$ GeV/nucleon, allowing for a consistent calculation of excitation functions from the intermediate energy domain up to ultrarelativistic energies. The main physics topics under discussion are stopping, particle production and collective flow.
Ratios of hadronic abundances are analyzed for pp and nucleus-nucleus collisions at sqrt(s)=20 GeV using the microscopic transport model UrQMD. Secondary interactions significantly change the primordial hadronic cocktail of the system. A comparison to data shows a strong dependence on rapidity. Without assuming thermal and chemical equilibrium, predicted hadron yields and ratios agree with many of the data, the few observed discrepancies are discussed.
Das am 01.01.2002 in Kraft getretene Gesetz zur Regelung von öffentlichen Angeboten zum Erwerb von Wertpapieren und von Unternehmensübernahmen (WpÜG) beschränkt sich - anders als noch der Diskussionsentwurf des WpÜG - nicht auf die Regelung von öffentlichen Angeboten zum Erwerb von Wertpapieren, die auf den Erwerb der Kontrolle an einer Zielgesellschaft gerichtet sind oder eine bereits bestehende Kontrollmehrheit voraussetzen, sondern trifft darüber hinaus mit den §§ 10 - 28 WpÜG Bestimmungen für jegliche öffentlichen Angebote zum Erwerb von Wertpapieren. Die naheliegende Frage, ob hierzu auch öffentliche Angebote zum Rückerwerb eigener Aktien, namentlich aufgrund Hauptversammlungsermächtigung gemäß § 71 Abs. 1 Nr. 8 S. 1 AktG, rechnen, lässt das Gesetz unbeantwortet. Erste Stellungnahmen in der Literatur gehen davon aus, daß das WpÜG auch auf solche self tender offers unmittelbar Anwendung finde, einzelne nicht passende Bestimmungen der §§ 10 - 28 WpÜG allerdings teleologisch zu reduzieren seien. Die Verfasser widersprechen der These einer unmittelbaren Anwendbarkeit des WpÜG auf öffentliche Angebote zum Rückerwerb eigener Aktien und befassen sich sodann mit der Frage, ob einzelne Vorschriften des WpÜG auf self tender offers analoge Anwendung finden.
Equilibrium properties of infinite relativistic hadron matter are investigated using the Ultrarelativistic Quantum Molecular Dynamics (UrQMD) model. The simulations are performed in a box with periodic boundary conditions. Equilibration times depend critically on energy and baryon densities. Energy spectra of various hadronic species are shown to be isotropic and consistent with a single temperature in equilibrium. The variation of energy density versus temperature shows a Hagedorn-like behavior with a limiting temperature of 130 +/- 10 MeV. Comparison of abundances of different particle species to ideal hadron gas model predictions show good agreement only if detailed balance is implemented for all channels. At low energy densities, high mass resonances are not relevant; however, their importance raises with increasing energy density. The relevance of these different conceptual frameworks for any interpretation of experimental data is questioned.
Am 26.02.2002 hat die von der Bundesministerin der Justiz auf Empfehlung der Regierungskommission Corporate Governance eingesetzte Kodex-Kommission den Deutschen Corporate Governance Kodex (im folgenden: DCG-Kodex/Kodex) vorgelegt. Mit Inkrafttreten des Transparenz- und Publizitätsgesetzes4, voraussichtlich im August 2002, werden Vorstand und Aufsichtsrat börsennotierter Aktiengesellschaften künftig jährlich zu erklären haben, ob sie den Empfehlungen des Kodex folgen, und, soweit dies nicht der Fall ist, Abweichungen offen zu legen haben. Im folgenden ist zunächst das Kodex-Konzept, das dem angelsächsischen Rechtskreis entstammt, zu erläutern und die mit dem DCG-Kodex verfolgte Zielsetzung vorzustellen (dazu B.). Dem schließt sich ein Überblick über Regelungstechnik und Inhalt des DCG-Kodex sowie dessen gesetzliche „Flankierung“ durch das TransPuG an (dazu C.). Sodann werden die Entsprechens-Erklärung (dazu D.) sowie Haftungsfragen im Zusammenhang mit dem DCG-Kodex (dazu E.) behandelt.
The microscopic phasespace approach URQMD is used to investigate the stopping power and particle production in heavy systems at SPS and RHIC energies. We find no gap in the baryon rapidity distribution even at RHIC. For CERN energies URQMD shows a pile up of baryons and a supression of multi-nucleon clusters at midrapidity.
Microscopic calculations of central collisions between heavy nuclei are used to study fragment production and the creation of collective flow. It is shown that the final phase space distributions are compatible with the expectations from a thermally equilibrated source, which in addition exhibits a collective transverse expansion. However, the microscopic analyses of the transient states in the reaction stages of highest density and during the expansion show that the system does not reach global equilibrium. Even if a considerable amount of equilibration is assumed, the connection of the measurable final state to the macroscopic parameters, e.g. the temperature, of the transient "equilibrium" state remains ambiguous.
Thermodynamical variables and their time evolution are studied for central relativistic heavy ion collisions from 10.7 to 160 AGeV in the microscopic Ultrarelativistic Quantum Molecular Dynamics model (UrQMD). The UrQMD model exhibits drastic deviations from equilibrium during the early high density phase of the collision. Local thermal and chemical equilibration of the hadronic matter seems to be established only at later stages of the quasi-isentropic expansion in the central reaction cell with volume 125 fm 3. Baryon energy spectra in this cell are reproduced by Boltzmann distributions at all collision energies for t > 10 fm/c with a unique rapidly dropping temperature. At these times the equation of state has a simple form: P = (0.12 - 0.15) Epsilon. At SPS energies the strong deviation from chemical equilibrium is found for mesons, especially for pions, even at the late stage of the reaction. The final enhancement of pions is supported by experimental data.
Local kinetic and chemical equilibration is studied for Au+Au collisions at 10.7 AGeV in the microscopic Ultrarelativistic Quantum Molecular Dynamics model (UrQMD). The UrQMD model exhibits dramatic deviations from equilibrium during the high density phase of the collision. Thermal and chemical equilibration of the hadronic matter seems to be established in the later stages during a quasiisentropic expansion, observed in the central reaction cell with volume 125 fm3. For t > 10 fm/c the hadron energy spectra in the cell are nicely reproduced by Boltzmann distributions with a common rapidly dropping temperature. Hadron yields change drastically and at the late expansion stage follow closely those of an ideal gas statistical model. The equation of state seems to be simple at late times: P = 0.12 Epsilon. The time evolution of other thermodynamical variables in the cell is also presented.