<p>Thin current sheets (TCSs) with thicknesses about ion Larmor radii can play the key role in space; particularly they can store and then explosively release the accumulated free energy. The dynamics of ions moving along quasi-adiabatic trajectories in TCSs is different from one of magnetized electrons following guiding center drift orbits. Due to this property TCSs can be described in a frame of a hybrid approach. The thickness of the super-thin embedded electron sheet remains uncertain because of the scale-free character of magnetized electron motion. We propose a new analytical approach to describe the multilayer TCS and provide the universal expression describing the embedded electron sheet as a function of the cross-sheet transversal coordinate z characterizing TCS. We demonstrated that the unique property of the electron sheet is the nonlinear character of magnetic field profile:&#160; <em>B(z) ~ z <sup>1/3 </sup></em>which conforms excellently with MAVEN observations in the Martian magnetotail.&#160;</p><p>This work was supported by the Russian Science Foundation (grant # 20-42-04418).</p><p>&#160;</p>
Universal scaling relations in scale-free structure formation