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Page 56
November 13-14, 2017 Paris, France
5th International Conference on
PLASMA CHEMISTRY AND
PLASMA PROCESSING
Journal of Biotechnology and Phytochemistry
Volume 1, Issue 2 Plasma Chemistry 2017
Phase space path integral simulations
of momentum distribution functions and
thermodynamics of strongly coupled
quantum plasmas
Filinov V S2 and Larkin S A1
1Joint Institute for High Temperatures RAS, Russia
2Moscow Institute of Physics and Technology, Russia
Quantum effects may affect equilibrium momentum
distribution functions making them non-maxwellian.
For example, exchange effects lead to Fermi-Dirac or Bose-
Einstein distributions in systems of non-interacting particles.
On the other hand, interaction between particles restricts
available for particle volume and could result in broadening
of momentum distribution due to Heisenberg principle. This
effect may strongly influence the reaction rates and may be
important in studies of combustion, detonation and even
nuclear fusion. Under extreme conditions systems of particles
are usually strongly coupled and perturbative approaches are
not applicable. Therefore, ab initio non-perturbative methods
for calculation of momentum distribution functions are
required. In our work we use path integral representation for
Wigner function and propose two Monte Carlo methods for
studies of momentum distribution functions of degenerate
non-ideal Fermi systems. In the first method to obtain explicit
expressions for Wigner functions we take into account pair
exchange interaction of fermions and linear or harmonic local
approximations of interparticle potential. The second method
(single-momentum) is based on reduced Wigner function,
integrated over all momenta except several few. Both methods
have been tested on simple models: one particle in different
external potential fields and ideal Fermi gas. Results are in
good agreement with available analytical and numerical data.
Then momentum distribution functions for a two component
degenerate plasma media have been investigated. Quantum
corrections to Fermi and Maxwell distributions in form of
"power - low tails" have been found.
J Biot Phyt 2017