Two new proofs of the test particle superposition principle of plasma kinetic theory

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The test particle superposition principle of plasma kinetic theory is discussed in relation to the recent theory of two-time fluctuations in plasma given by Williams and Oberman. Both a new deductive and a new inductive proof of the principle are presented. The fundamental observation is that two-time expectations of one-body operators are determined completely in terms of the (x,v) phase space density autocorrelation, which to lowest order in the discreteness parameter obeys the linearized Vlasov equation with singular initial condition. For the deductive proof, this equation is solved formally using time- ordered operators, and the solution then rearranged into the ... continued below

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Pages: 28

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Krommes, J.A. December 1, 1975.

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The test particle superposition principle of plasma kinetic theory is discussed in relation to the recent theory of two-time fluctuations in plasma given by Williams and Oberman. Both a new deductive and a new inductive proof of the principle are presented. The fundamental observation is that two-time expectations of one-body operators are determined completely in terms of the (x,v) phase space density autocorrelation, which to lowest order in the discreteness parameter obeys the linearized Vlasov equation with singular initial condition. For the deductive proof, this equation is solved formally using time- ordered operators, and the solution then rearranged into the superposition principle. The inductive proof is simpler than Rostoker's, although similar in some ways; it differs in that first order equations for pair correlation functions need not be invoked. It is pointed out that the superposition principle is also applicable to the short-time theory of neutral fluids. (auth)

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Pages: 28

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Dep. NTIS

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  • Other Information: Orig. Receipt Date: 30-JUN-76

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  • Report No.: MATT--1177
  • Grant Number: E(11-1)-3073
  • DOI: 10.2172/4133340 | External Link
  • Office of Scientific & Technical Information Report Number: 4133340
  • Archival Resource Key: ark:/67531/metadc863662

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  • December 1, 1975

Added to The UNT Digital Library

  • Sept. 16, 2016, 12:32 a.m.

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  • Oct. 27, 2016, 7:42 p.m.

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Krommes, J.A. Two new proofs of the test particle superposition principle of plasma kinetic theory, report, December 1, 1975; New Jersey. (digital.library.unt.edu/ark:/67531/metadc863662/: accessed October 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.