Spitzer resistivity

The Spitzer resistivity, or its opposite the Spitzer conductivity first formulated by Lyman Spitzer in 1950,^[1]^[2] is an equation showing the electrical resistance in a plasma decreases in proportion to the electron temperature as $T_{e}^{-3/2}$ .

The Spitzer resistivity $\eta$ is a classical model of electrical resistivity commonly used in plasma physics, based upon electron-ion collisions.^[3]^[4]^[5] It is given by:

\eta ={\frac {\pi Ze^{2}m^{1/2}\ln \Lambda }{\left(4\pi \varepsilon _{0}\right)^{2}\left(k_{\text{B}}T\right)^{3/2}}},

where $Z$ is the ionization of nuclei, $m$ is the electron mass, $\varepsilon _{0}$ is the electric permittivity of free space, $\ln \Lambda$ is the Coulomb logarithm, $k_{\text{B}}$ is Boltzmann's constant, and $T$ is the temperature in kelvins.

References

↑ Cohen, Robert S.; Spitzer, Jr., Lyman; McR. Routly, Paul (October 1950). "The Electrical Conductivity of an Ionized Gas" (PDF). Physical Review. 80 (2): 230–238. doi:10.1103/PhysRev.80.230.
↑ Spitzer, Jr., Lyman; Härm, Richard (March 1953). "Transport Phenomena in a completely ionized gas" (PDF). Physical Review. 89 (5): 977–981. doi:10.1103/PhysRev.89.977.
↑ Trintchouk, Fedor, Yamada, M., Ji, H., Kulsrud, R. M., Carter, T. A. (2003). "Measurement of the transverse Spitzer resistivity during collisional magnetic reconnection" (Submitted manuscript). Physics of Plasmas. 10: 319–322. doi:10.1063/1.1528612.
↑ Davies, J. R. (2003). "Electric and magnetic field generation and target heating by laser-generated fast electrons". Physical Review E. 68 (5): 056404. doi:10.1103/physreve.68.056404. PMID 14682891.
↑ Forest, C. B., Kupfer, K., Luce, T. C., Politzer, P. A., Lao, L. L., Wade, M. R., Whyte, D. G., Wroblewski, D. (1994). "Determination of the noninductive current profile in tokamak plasmas" (Submitted manuscript). Physical Review Letters. 73 (18): 2444–2447. doi:10.1103/physrevlett.73.2444. PMID 10057061.

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[Spitzer_1950-1] Cohen, Robert S.; Spitzer, Jr., Lyman; McR. Routly, Paul (October 1950). "The Electrical Conductivity of an Ionized Gas" (PDF). Physical Review. 80 (2): 230–238. doi:10.1103/PhysRev.80.230.

[Spitzer_1953-2] Spitzer, Jr., Lyman; Härm, Richard (March 1953). "Transport Phenomena in a completely ionized gas" (PDF). Physical Review. 89 (5): 977–981. doi:10.1103/PhysRev.89.977.

[trintchouk2003measurement-3] Trintchouk, Fedor, Yamada, M., Ji, H., Kulsrud, R. M., Carter, T. A. (2003). "Measurement of the transverse Spitzer resistivity during collisional magnetic reconnection" (Submitted manuscript). Physics of Plasmas. 10: 319–322. doi:10.1063/1.1528612.

[davies2003electric-4] Davies, J. R. (2003). "Electric and magnetic field generation and target heating by laser-generated fast electrons". Physical Review E. 68 (5): 056404. doi:10.1103/physreve.68.056404. PMID 14682891.

[forest1994determination-5] Forest, C. B., Kupfer, K., Luce, T. C., Politzer, P. A., Lao, L. L., Wade, M. R., Whyte, D. G., Wroblewski, D. (1994). "Determination of the noninductive current profile in tokamak plasmas" (Submitted manuscript). Physical Review Letters. 73 (18): 2444–2447. doi:10.1103/physrevlett.73.2444. PMID 10057061.