Classical‐Map Hypernetted Chain Calculations for Dense Plasmas

Abstract

Warm dense matter is of interest for modeling the interiors of planets and Brown Dwarfs. Corresponding pumpprobe experiments are performed at free electron laser facilities such as FLASH, LCLS or the future XFEL in Hamburg. X-ray Thomson scattering is of special interest to extract the plasma parameters. In order to explain or predict the X-ray Thomson scattering spectra, simulations on the structural properties of plasmas are performed. While ab initio simulations are computationally expensive, semi-classical approaches can deliver results fast for pair distribution functions and static structure factors, even for dense systems. We solve the Ornstein-Zernike equation within the hypernetted chain approximation for dense multi-component plasmas using the classical-map method. This approach proposes to treat the quantum features of the electrons using an adapted temperature for the electron system while the ions are treated classically. Results for pair distribution functions and static structure factors are presented for dense hydrogen, beryllium, carbon and CH plasmas.

Free-Electron X-Ray Laser Measurements of Collisional-Damped Plasmons in Isochorically Heated Warm Dense Matter

“…Furthermore, our improved Born model [50] reproduces the experimental values in the warm dense matter regime as well as near the melting point. This model applies ion-ion structure factors from classical-map hypernetted chain calculations [59] and temperature dependent pseudopotentials [60] containing Pauli blocking by core electrons.…”

Correlation functions in electron-electron and electron-hole double quantum wells: Temperature, density, and barrier-width dependence

“…Then it can be shown that a good approximation is to use the geometric mean of the thermal k th of the two components in the above approach. This has been tested for 3D CHNC calculations for the two components having different temperatures 60 .…”

Ionization dynamics of dense matter generated by intense ultrashort X‐ray pulses

“…Therefore, we use for simplicity the Debye‐Hückel model providing reasonable results and being computationally efficient compared with hypernetted‐chain (HNC) calculations and QMD simulations. However, it is worth mentioning that HNC and QMD yield a more realistic description of the ion‐ion structure factor .…”