24 research outputs found
Liquid-gas mixed phase in nuclear matter at finite temperature
We explore the geometrical structure of Liquid-gas (LG) mixed phase which is
relevant to nuclear matter in the crust region of compact stars or supernovae.
To get the equation of state (EOS) of the system, the Maxwell construction is
found to be applicable to symmetric nuclear matter, where protons and neutrons
behave simultaneously. For asymmetric nuclear matter, on the other hand, the
phase equilibrium can be obtained by fully solving the Gibbs conditions since
the components in the L and G phases are completely different. We also discuss
the effects of surface and the Coulomb interaction on the mixed phase.Comment: Contributed talk at the INPC 2010 at Vancouve
Equation of state SAHA-S meets stellar evolution code CESAM2k
We present an example of an interpolation code of the SAHA-S equation of
state that has been adapted for use in the stellar evolution code CESAM2k. The
aim is to provide the necessary data and numerical procedures for its
implementation in a stellar code. A technical problem is the discrepancy
between the sets of thermodynamic quantities provided by the SAHA-S equation of
state and those necessary in the CESAM2k computations. Moreover, the
independent variables in a practical equation of state (like SAHA-S) are
temperature and density, whereas for modelling calculations the variables
temperature and pressure are preferable. Specifically for the CESAM2k code,
some additional quantities and their derivatives must be provided. To provide
the bridge between the equation of state and stellar modelling, we prepare
auxiliary tables of the quantities that are demanded in CESAM2k. Then we use
cubic spline interpolation to provide both smoothness and a good approximation
of the necessary derivatives. Using the B-form of spline representation
provides us with an efficient algorithm for three-dimensional interpolation.
The table of B-spline coefficients provided can be directly used during stellar
model calculations together with the module of cubic spline interpolation. This
implementation of the SAHA-S equation of state in the CESAM2k stellar structure
and evolution code has been tested on a solar model evolved to the present. A
comparison with other equations of state is briefly discussed. The choice of a
regular net of mesh points for specific primary quantities in the SAHA-S
equation of state, together with accurate and consistently smooth tabulated
values, provides an effective algorithm of interpolation in modelling
calculations. The proposed module of interpolation procedures can be easily
adopted in other evolution codes.Comment: 8 pages, 5 figure
Simultaneous Chiral Symmetry Restoration and Deconfinement Consequences for the QCD Phase Diagram
Core-collapse supernova explosions triggered by a quark-hadron phase transition during the early post-bounce phase
We explore explosions of massive stars, which are triggered via the
quark-hadron phase transition during the early post bounce phase of
core-collapse supernovae. We construct a quark equation of state, based on the
bag model for strange quark matter. The transition between the hadronic and the
quark phases is constructed applying Gibbs conditions. The resulting
quark-hadron hybrid equations of state are used in core-collapse supernova
simulations, based on general relativistic radiation hydrodynamics and three
flavor Boltzmann neutrino transport in spherical symmetry. The formation of a
mixed phase reduces the adiabatic index, which induces the gravitational
collapse of the central protoneutron star. The collapse halts in the pure quark
phase, where the adiabatic index increases. A strong accretion shock forms,
which propagates towards the protoneutron star surface. Due to the density
decrease of several orders of magnitude, the accretion shock turns into a
dynamic shock with matter outflow. This moment defines the onset of the
explosion in supernova models that allow for a quark-hadron phase transition,
where otherwise no explosions could be obtained. The shock propagation across
the neutrinospheres releases a burst of neutrinos. This serves as a strong
observable identification for the structural reconfiguration of the stellar
core. The ejected matter expands on a short timescale and remains neutron-rich.
These conditions might be suitable for the production of heavy elements via the
r-process. The neutron-rich material is followed by proton-rich neutrino-driven
ejecta in the later cooling phase of the protoneutron star where the vp-process
might occur.Comment: 29 pages, 24 figures, submitted to Ap
Nanosystems for Health and Environment
Context. The Sun is the most studied of all stars, which serves as a reference for all other observed stars in the Universe. Furthermore, it also serves the role of a privileged laboratory of fundamental physics and can help us better understand processes occuring in conditions irreproducible on Earth. However, our understanding of our star is currently lessened by the so-called solar modelling problem, resulting from comparisons of theoretical solar models to helioseismic constraints. These discrepancies can stem from various causes, such as the radiative opacities, the equation of state as well as the mixing of the chemical elements