Abstract
Based on the method of invariants of particle motion in a relativistic collisionless plasma, we obtain a series of exact nonlinear solutions describing stationary neutral current-carrying structures with self-consistent magnetic field in planar, cylindrical, and 2D geometries. The solutions correspond to space-inhomogeneous anisotropic particle distributions and have a functional degree of freedom, i.e., they do not require a known fixed form of energy distribution. Physical properties of the current sheets and filaments, including current localization and value, degree of anisotropy of the particle distribution, and constraints on the particle and magnetic-field energy-density ratio, are discussed.
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