Figure 10.

Magnetic central force per core as a function of the applied field $\xi$ at $\lambda =3$ and $\phi =0.3$. $l=1$ (a) and 1.2 (b). Different colors correspond to different angles $\vartheta$ (see legend in (b)). Symbols are simulation results for $N=100$, solid curves are from MDM [Equations (23), (29)–(32)], dashed curves are from LDM [Equation (27)]. Insets show an enlarged view of the weak-field part of simulated dependencies. Dotted lines in insets are MDM predictions for $\vartheta =\pi /2$ shifted upwards along the y-axis to coincide with the simulation data at $\xi =0$.