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What is the magnetic field distribution for the equation of state of magnetized neutron stars?
(2017)
In this Letter, we report a realistic calculation of the magnetic field profile for the equation of state inside strongly magnetized neutron stars. Unlike previous estimates, which are widely used in the literature, we find that magnetic fields increase relatively slowly with increasing baryon chemical potential (or baryon density) of magnetized matter. More precisely, the increase is polynomial instead of exponential, as previously assumed. Through the analysis of several different realistic models for the microscopic description of stellar matter (including hadronic, hybrid and quark models) combined with general relativistic solutions endowed with a poloidal magnetic field obtained by solving Einstein–Maxwell's field equations in a self-consistent way, we generate a phenomenological fit for the magnetic field distribution in the stellar polar direction to be used as input in microscopic calculations.
Die Nutzung der natürlichen Ressourcen ist zur Sicherung gesellschaftlichen Aktivitäten unverzichtbar, gleichwohl stehen ihrer nachhaltigen Bewirtschaftung immer neue Veränderungsprozesse und damit einhergehende Herausforderungen gegenüber. In Anbetracht von wirtschaftlichen Konzentrationsprozessen, sozio-strukturellen und demographischen Entwicklungen, technischen Innovationen, globalem Wandel und neuen Erkenntnissen zu Risiken stoßen etablierte klassische Verfahren des Planungsdenkens zunehmend an ihre Grenzen. Vor diesem Hintergrund wurden neue und innovative Ansätze zur Ressourcensicherung entwickelt, die vereinzelt auch bereits in der Praxis realisiert wurden. Sie greifen die Herausforderung gegenwärtiger Veränderungsprozesse konzeptionell auf und überführen sie in angepasste Strukturen und Verfahren. Die vorliegende Arbeit beschreibt diesen Übergang zu einem neuen, angepassten Planungsdenken. In seinem Mittelpunkt steht der Begriff der „sozial-ökologischen Ressourcenregulation“. Am Beispiel der Bewirtschaftung der Wasserressourcen werden aktuelle Entwicklungen vorgestellt und exemplarisch anhand von zwei Fallbeispielen vertieft: dem Fuhrberger Feld und dem Hessische Ried unter den spezifischen Gesichtspunkten von Wassergüte und Wassermenge. Die Entwicklungen in beiden Regionen werden zunächst anhand der Anforderungen an eine sozial-ökologische Regulation bewertet. In einem weiteren Schritt werden verallgemeinerte Schlussfolgerungen für eine verbesserte Ressourcenbewirtschaftung und deren Regulation sowohl hinsichtlich der Wassergüte als auch der Wassermenge gezogen. Es zeigt sich hierbei die große Bedeutung der Entstehung adaptiver Strukturen durch Rückkopplungen und den Einbezug der relevanten gesellschaftlichen Akteure; so ist langfristig auch eine Koexistenz von tendenziell konfligierenden Ressourcennutzungen und deren nachhaltige Entwicklung möglich.
We compute the vacuum polarization correction to the binding energy of nuclear matter in the Walecka model using a nonperturbative approach. We first study such a contribution as arising from a ground-state structure with baryon-antibaryon condensates. This yields the same results as obtained through the relativistic Hartree approximation of summing tadpole diagrams for the baryon propagator. Such a vacuum is then generalized to include quantum effects from meson fields through scalar-meson condensates which amounts to summing over a class of multiloop diagrams. The method is applied to study properties of nuclear matter and leads to a softer equation of state giving a lower value of the incompressibility than would be reached without quantum effects. The density-dependent effective sigma mass is also calculated including such vacuum polarization effects.
The space-time dynamics and pion-HBT radii in central heavy ion-collisions at CERN-SPS and BNL-RHIC are investigated within a hydrodynamic simulation. The dependence of the dynamics and the HBT-parameters on the EoS is studied with different parametrizations of a chiral SU(3) sigma omega model. The selfconsistent collective expansion includes the e ects of e ective hadron masses, generated by the nonstrange and strange scalar condensates. Different chiral EoS show di erent types of phase transitions and even a crossover. The influence of the order of the phase transition and of the latent heat on the space-time dynamics and pion-HBT radii is studied. A small latent heat, i.e. a weak first-order chiral phase transition, or a smooth crossover lead to distinctly di erent HBT predictions than a strong first order phase transition. A quantitative description of the data, both at SPS energies as well as at RHIC energies, appears di cult to achieve within the ideal hydrodynamic approach using the SU(3) chiral EoS. A strong first-order quasi-adiabatic chiral phase transition seems to be disfavored by the pion-HBT data from CERN-SPS and BNL-RHIC.
The transition to a future electricity system based primarily on wind and solar PV is examined for all regions in the contiguous US. We present optimized pathways for the build-up of wind and solar power for least backup energy needs as well as for least cost obtained with a simplified, lightweight model based on long-term high resolution weather-determined generation data. In the absence of storage, the pathway which achieves the best match of generation and load, thus resulting in the least backup energy requirements, generally favors a combination of both technologies, with a wind/solar PV (photovoltaics) energy mix of about 80/20 in a fully renewable scenario. The least cost development is seen to start with 100% of the technology with the lowest average generation costs first, but with increasing renewable installations, economically unfavorable excess generation pushes it toward the minimal backup pathway. Surplus generation and the entailed costs can be reduced significantly by combining wind and solar power, and/or absorbing excess generation, for example with storage or transmission, or by coupling the electricity system to other energy sectors.
This work presents an effective model for strongly interacting matter and the QCD equation of state (EoS). The model includes both hadron and quark degrees of freedom and takes into account the transition of chiral symmetry restoration as well as the deconfinement phase transition. At low temperatures T and baryonic densities ρB a hadron resonance gas is described using a SU(3)-flavor sigma-omega model and a quark phase is introduced in analogy to PNJL models for higher T and ρB. In this way, the correct asymptotic degrees of freedom are used in a wide range of T and ρB. Here, results of this model concerning the chiral and deconfinement phase transitions and thermodynamic model properties are presented. Large hadron resonance multiplicities in the transition region emphasize the importance of heavy-mass resonance states in this region and their impact on the chiral transition behavior. The resulting phase diagram of QCD matter at small chemical potentials is in line with latest lattice QCD and thermal model results.
A unified chiral mean field approach is presented for QCD thermodynamics in a wide range of temperatures and densities. The model simultaneously gives a satisfactory description of lattice QCD thermodynamics and fulfills nuclear matter and astrophysical constraints. The resulting equation of state can be incorporated in relativistic fluid-dynamical simulations of heavy-ion collisions and neutron stars mergers. Access to different regions of the QCD phase diagram can be obtained in simulations of heavy-ion data and observations of neutron star mergers.