Simulation of thermal ionization in a dense helium plasma by the Feynman path integral method |
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Authors: | S V Shevkunov |
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Institution: | 1.St. Petersburg State Polytechnic University,St. Petersburg,Russia |
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Abstract: | 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. |
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Keywords: | |
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