Path Integral Monte Carlo Simulations and Analytical Approximations for High-Temperature Plasmas
نویسندگان
چکیده
The results of analytical approximations and extensive calculations based on a path integral Monte Carlo (PIMC) scheme are presented. A new (direct) PIMC method allows for a correct determination of thermodynamic properties such as energy and equation of state of dense degenerate Coulomb systems. In this paper, we present results for dense partially ionized hydrogen at intermediate and high temperature. We give a quantitative comparison with the available results of alternative (restricted) PIMC simulations and with analytical expressions based on iterpolation formulas meeting the exact limits at low and high densities. Good agreement between the two simulations is found up to densities of the order of 10cm. The agreement with the analytical results is satisfactory up to densities in the range 10 . . . 10cm.
منابع مشابه
Thermodynamics of hot dense H - plasmas : Path integral Monte Carlo simulations and analytical approximations
This work is devoted to the thermodynamics of high-temperature dense hydrogen plasmas in the pressure region between 10 −1 and 10 2 Mbar. In particular we present for this region results of extensive calculations based on a recently developed path integral Monte Carlo scheme (direct PIMC). This method allows for a correct treatment of the thermodynamic properties of hot dense Coulomb systems. C...
متن کامل4 O ct 2 00 1 Internal energy of high density Hydrogen : Analytical approximations compared with path integral Monte Carlo calculations
The internal energy of high-density hydrogen plasmas in the temperature range T = 10, 000 . . . 50, 000K is calculated by two different analytical approximation schemes (method of effective ion-ion interaction potential EIIP and Padé approach within the chemical picture PACH) and compared with path integral Monte Carlo results. Reasonable agreement between the results obtained from the three in...
متن کاملPath Integral Monte Carlo and Density Functional Molecular Dynamics Simulations of Warm, Dense Neon
All-electron path integral Monte Carlo (PIMC) and density functional theory molecular dynamics (DFT-MD) allow for a consistent first-principles investigation of hot, dense neon plasmas in the density-temperature range of 1–15 g cm−3 and 10–10 K. DFT-MD data at low temperatures combined with PIMC data at higher temperatures provides a coherent equation of state with a region of overlap in which ...
متن کاملAll-electron path integral Monte Carlo simulations of warm dense matter: application to water and carbon plasmas.
We develop an all-electron path integral Monte Carlo method with free-particle nodes for warm dense matter and apply it to water and carbon plasmas. We thereby extend path integral Monte Carlo studies beyond hydrogen and helium to elements with core electrons. Path integral Monte Carlo results for pressures, internal energies, and pair-correlation functions compare well with density functional ...
متن کاملTrapped Slender Vortex Filaments in Statistical Equilibrium
The statistical mechanics of nearly parallel vortex filaments confined in the unbounded plane by angular momentum, first studied by Lions and Majda (2000), is investigated using a mean-field approximation to interaction and a spherical constraint to develop an explicit formula for the mean square vortex position or length scale of the system, R, verified with Path Integral Monte Carlo simulatio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001