## 2. Centered Cumulant Method with Implicit Forcing
The default setup of the centered cumulant method does not use a force model to compute the force contributions on all populations, but instead applies the force in cumulant space simply by setting the momentum relaxation rate $\omega_1 = 2$. Due to the half-force shift of the equilibrium input velocity, the first central moments (which correspond to momentum relative to the moving frame of reference) are not zero, but equal to $-F/2$. The relaxation process causes the first central moments to simply change sign:
$$
\kappa_{100}^* = - \kappa_{100}.
$$
Thus, $\kappa_{100}^* = F_x /2$. In total, the entire acceleration given by the force is added onto the momentum.
%% Cell type:code id: tags:
``` python
cm_method_params={
'method':'monomial_cumulant',
'stencil':stencil,
'relaxation_rate':viscous_rr,# Specify viscous relaxation rate only
