Fig. 6.

Equilibrium probability density of the displacement of spring length using hybrid scheme for bond constant (a) k = 0.1 N/m and (b) k = 1.0 N/m, where the standard deviation $\sigma =\sqrt{k_{B}T/k}$. The nondimensionalized characteristic memory times are ${\tau }_1/{\tau }_{\nu }=0.12$ and ${\tau }_2/{\tau }_{\nu }=0.088$. The distributions agree within 6% error (see dotted line) with the analytical Maxwell–Boltzmann distribution.