A well-known one-dimensional current sheet equilibrium is the Harris current sheet, which is a stationary solution to the Maxwell-Vlasov system.Hughes, W. J. (1990) "The Magnetopause, Magnetotail, and Magnetic Reconnection" (from the "Rubey Colloquium" held in March 1990 at U.C.L.A.) pp. 227-287 In Kivelson, Margaret Galland and Russell, Christopher T. (editors) (1995) Introduction to Space Physics Cambridge University Press, Cambridge, England, pages 250-251, The magnetic field profile of a Harris sheet along y = 0 is given by
