Simulation of thermal ionization in a dense helium plasma by the Feynman path integral method

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S106377611104011X· OSTI ID:22028091

The region of equilibrium states is studied where the quantum nature of the electron component and a strong nonideality of a plasma play a key role. The problem of negative signs in the calculation of equilibrium averages a system of indistinguishable quantum particles with a spin is solved in the macroscopic limit. It is demonstrated that the calculation can be conducted up to a numerical result. The complete set of symmetrized basis wave functions is constructed based on the Young symmetry operators. The combinatorial weight coefficients of the states corresponding to different graphs of connected Feynman paths in multiparticle systems are calculated by the method of random walk over permutation classes. The kinetic energy is calculated using a viral estimator at a finite pressure in a statistical ensemble with flexible boundaries. Based on the methods developed in the paper, the computer simulation is performed for a dense helium plasma in the temperature range from 30000 to 40000 K. The equation of state, internal energy, ionization degree, and structural characteristic of the plasma are calculated in terms of spatial correlation functions. The parameters of a pseudopotential plasma model are estimated.

• OSTI ID: 22028091
• Journal Information: Journal of Experimental and Theoretical Physics, Journal Name: Journal of Experimental and Theoretical Physics Journal Issue: 4 Vol. 112; ISSN JTPHES; ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COMPUTERIZED SIMULATION
CORRELATION FUNCTIONS
ELECTRON TEMPERATURE
ELECTRONS
EQUATIONS OF STATE
EQUILIBRIUM
FEYNMAN PATH INTEGRAL
GRAPH THEORY
HELIUM
ION TEMPERATURE
IONIZATION
KINETIC ENERGY
PLASMA
PLASMA DENSITY
PLASMA PRESSURE
PLASMA SIMULATION
POTENTIALS
RANDOMNESS
SPIN
WAVE FUNCTIONS