Monte Carlo Sampling of Negative-temperature Plasma States

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Description

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 ... continued below

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Krommes, John A. & Rath, Sharadini July 19, 2002.

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Description

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.

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1.0 Megabyte pages

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INIS; OSTI as DE00808375

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  • Other Information: PBD: 19 Jul 2002

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  • Report No.: PPPL-3729
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/808375 | External Link
  • Office of Scientific & Technical Information Report Number: 808375
  • Archival Resource Key: ark:/67531/metadc735601

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  • July 19, 2002

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  • Oct. 18, 2015, 6:40 p.m.

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  • April 18, 2016, 1:02 p.m.

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Krommes, John A. & Rath, Sharadini. Monte Carlo Sampling of Negative-temperature Plasma States, report, July 19, 2002; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc735601/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.