“…Note that the development of numerical and approximate analytical models of stationary TCS with the normal magnetic field component has a long history, which is described in the reviews [Zelenyi et al, 2011[Zelenyi et al, , 2016 and in [Mingalev et al, 2018]. Analytical models represent protons in the quasi-adiabatic approximation [Kropotkin et al, 1995], and the most advanced models describe electrons in the so-called semi-fluid approximation (see, e.g., [Sitnov et al, 2000;Zelenyi et al, 2011]). The most advanced numerical models for protons use the particle-in-cell method to solve the stationary Vlasov equation and, as do analytical models, take into account the contribution of electrons in the semifluid approximation [Bykov et al, 2008[Bykov et al, , 2016.…”