Abstract:This paper describes an experiment design based on numerical simulations to measure the equation‐of‐state properties of high‐energy‐density (HED) matter using intense particle beams. The simulations are performed using a 2D hydrodynamic computer code, BIG2, while the beam parameters are considered to match the Facility for Antiprotons and Ion Research beam. This study has shown that in such experiments one can generate different phases of HED lead. Similar calculations are planned for other materials.
“…To do it, the experiments with ion beams can be used. [ 16,17 ] The temperature in these measurements can reach 50 kK, although the estimates for density have shown that it is still kept near the melting values. Besides these two types of measurements, there are several theoretical approaches that were applied to describe the shock‐wave measurements data and to construct the equation of state for a number of metals including Pb.…”
The pressure, internal energy, and electronic transport coefficients of low-temperature Pb plasma were calculated at the temperatures 10-100 kK by means of an earlier developed model (E. M. Apfelbaum, Contrib. Plasma Phys. 2019, 59, e201800148). The plasma composition and thermodynamics were obtained using a chemical approach. The electronic transport coefficients were calculated within the relaxation time approximation with the new accurate momentum transfer cross-section electron-atom. The results of the present calculations have been compared with the new measurement data, obtained at relatively low densities, reaching 0.125 of the value in solid state, which corresponds to the area, where the model can be applied correctly. The good agreement between the calculations and measurements was obtained for both the pressure and the electrical conductivity.
“…To do it, the experiments with ion beams can be used. [ 16,17 ] The temperature in these measurements can reach 50 kK, although the estimates for density have shown that it is still kept near the melting values. Besides these two types of measurements, there are several theoretical approaches that were applied to describe the shock‐wave measurements data and to construct the equation of state for a number of metals including Pb.…”
The pressure, internal energy, and electronic transport coefficients of low-temperature Pb plasma were calculated at the temperatures 10-100 kK by means of an earlier developed model (E. M. Apfelbaum, Contrib. Plasma Phys. 2019, 59, e201800148). The plasma composition and thermodynamics were obtained using a chemical approach. The electronic transport coefficients were calculated within the relaxation time approximation with the new accurate momentum transfer cross-section electron-atom. The results of the present calculations have been compared with the new measurement data, obtained at relatively low densities, reaching 0.125 of the value in solid state, which corresponds to the area, where the model can be applied correctly. The good agreement between the calculations and measurements was obtained for both the pressure and the electrical conductivity.
“…The proposed experimental program is based on theoretical studies that include detailed numerical simulations and analytic modeling, as reported in [5,6,7,8,9,10,11,12,13,14,15,16,17,18,44,20,21,22,23,24,25,26].…”
The possibility of existence of carbon-rich-planets makes it important to study High Energy States of carbon in order to understand the internal structure of such planets. In this paper, we present two-dimensional hydrodynamic simulations of a low-entropy compression of a carbon sample that is enclosed in a high-Z cylindrical shell that is driven by a high intensity uranium beam. The considered beam parameters are the ones that will be available at the accelerator facility, named, FAIR, at Darmstadt. This study has shown that the carbon sample can be compressed to super-solid densities, ultra-high pressures, while the temperature remains relatively low. These are the typical physical conditions that are expected to exist in the planetary interiors. An experimental study of the thermophysical and transport properties of such samples will significantly improve our knowledge about formation and evolution of different type of planets.
“…This flexibility is not provided by any other generator. An experiment based on the former scheme named HIHEX (Heavy Ion Heating and Expansion) has been designed with the help of detailed numerical simulations to study the EOS properties of HED matter [43,[56][57][58]. The second scheme is employed to propose another experiment named, LAPLAS, that stand for Laboratory Planetary Science and that uses a multiple shock reflection technique that leads to a low-entropy compression of a sample material which is enclosed in a cylindrical high-Z shell.…”
Intense particle beams offer a new efficient driver to produce extended samples of high energy density (HED) matter with extreme physical conditions that are expected to exist in the planetary interiors. In this paper, we present two-dimensional hydrodynamic implosion simulations of a multi-layered cylindrical target that is driven by an intense uranium beam. The target is comprised of a sample material (which is water in the present case) that is enclosed in a cylindrical tungsten shell. This scheme is named LAPLAS that stands for Laboratory Planetary Science, and it leads to a low entropy compression. This means that the water sample is compressed to super-solid densities, ultra-high pressures, but relatively low temperatures. Such exotic conditions are predicted to exist in the cores of water-rich solar, as well as extrasolar planets. The beam parameters are chosen to match the characteristics of the particle beam that will be delivered by the heavy ion synchrotron, SIS100, at the Facility for Antiprotons and Ion Research (FAIR), at Darmstadt. It is to be noted that the LAPLAS scheme is an important part of the HED physics program at FAIR, which is named HEDP@FAIR. The simulations predict that the LAPLAS experiments will produce a wealth of information on the Equation-of-State properties of the exotic matter that forms the planetary cores. This information can be very helpful in understanding the formation, evolution and the final structure of the planets.
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