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Operational Markov matrix formulation for structures in continuum plasma models.

Nidhi Panday1,2, Devendra Sharma3,4

  • 1Institute for Plasma Research, Bhat, Gandhinagar, Ahmedabad, 382428, Gujarat, India. nidhi.panday@ipr.res.in.

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Summary
This summary is machine-generated.

This study introduces a novel Markovian nonuniform generation formulation to model plasma transport equilibria. This method overcomes limitations in analytical solutions for fusion devices, enabling accurate simulations of complex plasma flow configurations.

Keywords:
Fluid-modelMarkov-chainMonte-CarloPlasma transportScrape-off layerStructure formation

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Area of Science:

  • Physics
  • Computational Physics
  • Plasma Physics

Background:

  • Stationary physical systems can be mathematically translated into stochastic models.
  • Continuum fluid models often face limitations in solving analytically inaccessible flow configurations.

Purpose of the Study:

  • To apply Markovian nonuniform generation formulation for modeling plasma transport equilibria.
  • To translate continuum fluid models into stochastic Markovian models for fusion devices.
  • To achieve solutions for analytically inaccessible flow configurations.

Main Methods:

  • Developed a procedure to translate continuum fluid models into stochastic Markovian models.
  • Constructed Operational Subcomponent Markov Matrices (SMM) for plasma flow.
  • Validated SMMs against Markov-Chain Monte-Carlo (MCMC) formulations.
  • Used a Markovian Monte-Carlo Simulation (MMSIM) code for validation.

Main Results:

  • Achieved solutions in the limit of infinite realizations, free from computational random variable realizations.
  • Quantitatively verified constructed SMMs against MCMC-defined SMM properties.
  • Validated stochastic solutions from MMSIM against SMM-produced structures.
  • Demonstrated capacity to validate general transport equilibria for SOL configurations.

Conclusions:

  • The SMM-MCMC formulation provides a robust method for analyzing plasma transport equilibria.
  • This approach enables the study of analytically inaccessible flow configurations in fusion devices.
  • The developed procedure offers a powerful tool for validating stochastic simulations of plasma transport.