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We present a class of one-dimensional, strictly neutral, Vlasov-Maxwellequilibrium distribution functions for force-free current sheets, with magneticfields defined in terms of Jacobian elliptic functions, extending the resultsof Abraham-Shrauner (Phys. Plasmas 20, 102117, 2013) to allow for non-uniformdensity and temperature profiles. To achieve this, we use an approachpreviously applied to the force-free Harris sheet by Kolotkov et al. (Phys.Plasmas 22, 112902, 2015). In one limit of the parameters, we recover the modelof Kolotkov et al., while another limit gives a linear force-free field. Wediscuss conditions on the parameters such that the distribution functions arealways positive, and give expressions for the pressure, density, temperatureand bulk-flow velocities of the equilibrium, discussing differences fromprevious models. We also present some illustrative plots of the distributionfunction in velocity space.

Force-free collisionless current sheet models with non-uniform temperature and density profiles