Discrete kinetic eigenmode spectra of electron plasma oscillations in weakly collisional plasma: A numerical study

Carrie Black; Kai Germaschewski; Amitava Bhattacharjee; C. S. Ng

doi:10.1063/1.4789882

Discrete kinetic eigenmode spectra of electron plasma oscillations in weakly collisional plasma: A numerical study

Carrie Black, Kai Germaschewski, Amitava Bhattacharjee, C. S. Ng

Astrophysical Sciences

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

It has been demonstrated that in the presence of weak collisions, described by the Lenard-Bernstein (LB) collision operator, the Landau-damped solutions become true eigenmodes of the system and constitute a complete set [C.-S. Ng, Phys. Rev. Lett. 83, 1974 (1999) and C. S. Ng, Phys. Rev. Lett. 96, 065002 (2004)]. We present numerical results from an Eulerian Vlasov code that incorporates the Lenard-Bernstein collision operator [A. Lenard and I. B. Bernstein, Phys. Rev. 112, 1456 (1958)]. The effect of collisions on the numerical recursion phenomenon seen in Vlasov codes is discussed. The code is benchmarked against exact linear eigenmode solutions in the presence of weak collisions, and a spectrum of Landau-damped solutions is determined within the limits of numerical resolution. Tests of the orthogonality and the completeness relation are presented.

Original language	English (US)
Article number	012125
Journal	Physics of Plasmas
Volume	20
Issue number	1
DOIs	https://doi.org/10.1063/1.4789882
State	Published - Jan 2013

All Science Journal Classification (ASJC) codes

Condensed Matter Physics

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10.1063/1.4789882

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title = "Discrete kinetic eigenmode spectra of electron plasma oscillations in weakly collisional plasma: A numerical study",

abstract = "It has been demonstrated that in the presence of weak collisions, described by the Lenard-Bernstein (LB) collision operator, the Landau-damped solutions become true eigenmodes of the system and constitute a complete set [C.-S. Ng, Phys. Rev. Lett. 83, 1974 (1999) and C. S. Ng, Phys. Rev. Lett. 96, 065002 (2004)]. We present numerical results from an Eulerian Vlasov code that incorporates the Lenard-Bernstein collision operator [A. Lenard and I. B. Bernstein, Phys. Rev. 112, 1456 (1958)]. The effect of collisions on the numerical recursion phenomenon seen in Vlasov codes is discussed. The code is benchmarked against exact linear eigenmode solutions in the presence of weak collisions, and a spectrum of Landau-damped solutions is determined within the limits of numerical resolution. Tests of the orthogonality and the completeness relation are presented.",

author = "Carrie Black and Kai Germaschewski and Amitava Bhattacharjee and Ng, {C. S.}",

note = "Funding Information: This work was conducted at the Center for Integrated Computation and Analysis of Reconnection and Turbulence (CICART) at the Institute for the Study of Earth, Oceans, and Space located at the University of New Hampshire. The research of C.B. is supported by an appointment to the NASA Postdoctoral Program at the Goddard Space Flight Center, administered by Oak Ridge Associated Universities through a contract with NASA. K.G. is supported by NSF Grants CNS-0855145 and AGS-1056898 and DOE Grant ER55093. C.S.N. is supported in part by a National Science Foundation Grant PHY-1004357 and by the National Science Foundation of China NSFC under Grant No. 41128004.",

year = "2013",

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doi = "10.1063/1.4789882",

language = "English (US)",

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journal = "Physics of Plasmas",

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AU - Germaschewski, Kai

AU - Bhattacharjee, Amitava

AU - Ng, C. S.

N1 - Funding Information: This work was conducted at the Center for Integrated Computation and Analysis of Reconnection and Turbulence (CICART) at the Institute for the Study of Earth, Oceans, and Space located at the University of New Hampshire. The research of C.B. is supported by an appointment to the NASA Postdoctoral Program at the Goddard Space Flight Center, administered by Oak Ridge Associated Universities through a contract with NASA. K.G. is supported by NSF Grants CNS-0855145 and AGS-1056898 and DOE Grant ER55093. C.S.N. is supported in part by a National Science Foundation Grant PHY-1004357 and by the National Science Foundation of China NSFC under Grant No. 41128004.

PY - 2013/1

Y1 - 2013/1

N2 - It has been demonstrated that in the presence of weak collisions, described by the Lenard-Bernstein (LB) collision operator, the Landau-damped solutions become true eigenmodes of the system and constitute a complete set [C.-S. Ng, Phys. Rev. Lett. 83, 1974 (1999) and C. S. Ng, Phys. Rev. Lett. 96, 065002 (2004)]. We present numerical results from an Eulerian Vlasov code that incorporates the Lenard-Bernstein collision operator [A. Lenard and I. B. Bernstein, Phys. Rev. 112, 1456 (1958)]. The effect of collisions on the numerical recursion phenomenon seen in Vlasov codes is discussed. The code is benchmarked against exact linear eigenmode solutions in the presence of weak collisions, and a spectrum of Landau-damped solutions is determined within the limits of numerical resolution. Tests of the orthogonality and the completeness relation are presented.

AB - It has been demonstrated that in the presence of weak collisions, described by the Lenard-Bernstein (LB) collision operator, the Landau-damped solutions become true eigenmodes of the system and constitute a complete set [C.-S. Ng, Phys. Rev. Lett. 83, 1974 (1999) and C. S. Ng, Phys. Rev. Lett. 96, 065002 (2004)]. We present numerical results from an Eulerian Vlasov code that incorporates the Lenard-Bernstein collision operator [A. Lenard and I. B. Bernstein, Phys. Rev. 112, 1456 (1958)]. The effect of collisions on the numerical recursion phenomenon seen in Vlasov codes is discussed. The code is benchmarked against exact linear eigenmode solutions in the presence of weak collisions, and a spectrum of Landau-damped solutions is determined within the limits of numerical resolution. Tests of the orthogonality and the completeness relation are presented.

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Discrete kinetic eigenmode spectra of electron plasma oscillations in weakly collisional plasma: A numerical study

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