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Title: Monte Carlo Sampling of Negative-temperature Plasma States

Abstract

A Monte Carlo procedure is used to generate N-particle configurations compatible with two-temperature canonical equilibria in two dimensions, with particular attention to nonlinear plasma gyrokinetics. An unusual feature of the problem is the importance of a nontrivial probability density function R0(PHI), the probability of realizing a set {Phi} of Fourier amplitudes associated with an ensemble of uniformly distributed, independent particles. This quantity arises because the equilibrium distribution is specified in terms of {Phi}, whereas the sampling procedure naturally produces particles states gamma; {Phi} and gamma are related via a gyrokinetic Poisson equation, highly nonlinear in its dependence on gamma. Expansion and asymptotic methods are used to calculate R0(PHI) analytically; excellent agreement is found between the large-N asymptotic result and a direct numerical calculation. The algorithm is tested by successfully generating a variety of states of both positive and negative temperature, including ones in which either the longest- or shortest-wavelength modes are excited to relatively very large amplitudes.

Authors:
;
Publication Date:
Research Org.:
Princeton Plasma Physics Lab., NJ (US)
Sponsoring Org.:
USDOE Office of Science (US)
OSTI Identifier:
808375
Report Number(s):
PPPL-3729
TRN: US0301994
DOE Contract Number:  
AC02-76CH03073
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 19 Jul 2002
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ALGORITHMS; AMPLITUDES; DIMENSIONS; DISTRIBUTION; PLASMA; POISSON EQUATION; PROBABILITY; SAMPLING; COMPUTER SIMULATION; GYROKINETIC EQUATIONS; MONTE CARLO METHODS

Citation Formats

John A. Krommes, and Sharadini Rath. Monte Carlo Sampling of Negative-temperature Plasma States. United States: N. p., 2002. Web. doi:10.2172/808375.
John A. Krommes, & Sharadini Rath. Monte Carlo Sampling of Negative-temperature Plasma States. United States. doi:10.2172/808375.
John A. Krommes, and Sharadini Rath. Fri . "Monte Carlo Sampling of Negative-temperature Plasma States". United States. doi:10.2172/808375. https://www.osti.gov/servlets/purl/808375.
@article{osti_808375,
title = {Monte Carlo Sampling of Negative-temperature Plasma States},
author = {John A. Krommes and Sharadini Rath},
abstractNote = {A Monte Carlo procedure is used to generate N-particle configurations compatible with two-temperature canonical equilibria in two dimensions, with particular attention to nonlinear plasma gyrokinetics. An unusual feature of the problem is the importance of a nontrivial probability density function R0(PHI), the probability of realizing a set {Phi} of Fourier amplitudes associated with an ensemble of uniformly distributed, independent particles. This quantity arises because the equilibrium distribution is specified in terms of {Phi}, whereas the sampling procedure naturally produces particles states gamma; {Phi} and gamma are related via a gyrokinetic Poisson equation, highly nonlinear in its dependence on gamma. Expansion and asymptotic methods are used to calculate R0(PHI) analytically; excellent agreement is found between the large-N asymptotic result and a direct numerical calculation. The algorithm is tested by successfully generating a variety of states of both positive and negative temperature, including ones in which either the longest- or shortest-wavelength modes are excited to relatively very large amplitudes.},
doi = {10.2172/808375},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Jul 19 00:00:00 EDT 2002},
month = {Fri Jul 19 00:00:00 EDT 2002}
}

Technical Report:

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