“…The full effect of plasma magnetization remains poorly understood. From early explorations (Grad and Rubin, 1958;Rose and Clark, 1961;Shafranov, 1966;Roth, 1967;Vlasov, 1968;Hall, 1972) through modern developments (Hazeltine and Meiss, 2003;Hazeltine and Waelbroeck, 2004), we contend that an important effect has been neglected in the analysis of plasma equilibrium, the magnetic polarization force, despite its experimental applications in fusion (Hayes et al, 1985), magnetic fluids (Zahn and Pioch, 1999;Rinaldi and Zahn, 2002;El-Dib and Moatimid, 2002), biophysics (Qi et al, November 2001;Ataka and Wakayama, 2002;Wang and Wakayama, 2003;Tzirtzilakis, 2005;Ramachandrana and Leslieb 2005) and materials science (Cantor and O'Reilly, 2002;Colli et al, 2003;Takagi et al, 2003;Kozuka et al, 2003;Asai, 2004;Maki and Ataka, 2005;Ma et al, 2006;Ono et al, 2007;Keil, 2007;Jin et al, 2008). Its nonlinear nature is often cited when neglecting plasma magnetization in the usual introductory equilibrium equation (Chen, 1984;Dendy, 1993;Stacey, 2005), which treats the combined bound and free current densities as a single entity; however, we find that the reciprocal relationship between M and H leads to simplifications, rather than complications, in the treatment of stationary equilibrium in a strongly magnetized plasma.…”