Nonlinear resistivity for magnetohydrodynamical models

Lingam, M.; Hirvijoki, E.; Pfefferlé, D.; Comisso, L.; Bhattacharjee, A.

doi:10.1063/1.4980838

Title: Nonlinear resistivity for magnetohydrodynamical models

Journal Article · Thu Apr 20 00:00:00 EDT 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4980838· OSTI ID:1358667

Lingam, M. ^[1];

^[2];

^[3];

^[3]

Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences; Harvard Univ., Cambridge, MA (United States). John A. Paulson School of Engineering and Applied Sciences; Harvard-Smithsonian Center for Astrophysics, Cambridge, MA (United States)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Princeton Univ., NJ (United States). Dept. of Astrophysical Sciences; Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

A new formulation of the plasma resistivity that stems from the collisional momentum-transfer rate between electrons and ions is presented. The resistivity computed herein is shown to depend not only on the temperature and density but also on all other polynomial velocity-space moments of the distribution function, such as the pressure tensor and heat flux vector. The full expression for the collisional momentum-transfer rate is determined and is used to formulate the nonlinear anisotropic resistivity. The new formalism recovers the Spitzer resistivity, as well as the concept of thermal force if the heat flux is assumed to be proportional to a temperature gradient. Furthermore, if the pressure tensor is related to viscous stress, the latter enters the expression for the resistivity. The relative importance of the nonlinear term(s) with respect to the well-established electron inertia and Hall terms is also examined. Lastly, the subtle implications of the nonlinear resistivity, and its dependence on the fluid variables, are discussed in the context of magnetized plasma environments and phenomena such as magnetic reconnection.

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Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES); National Science Foundation (NSF)

Grant/Contract Number:: AC02-09CH11466; AGS-1338944; AGS-1552142

OSTI ID:: 1358667

Alternate ID(s):: OSTI ID: 1361822

Journal Information:: Physics of Plasmas, Vol. 24, Issue 4; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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Title: Nonlinear resistivity for magnetohydrodynamical models

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