stream¶
An MPCD streaming method is required to update the particle positions over time.
It is meant to be used in conjunction with an mpcd.Integrator and
CollisionMethod. Particle positions are propagated
ballistically according to Newton’s equations using a velocity-Verlet scheme for
a time \(\Delta t\):
\[ \begin{align}\begin{aligned}\mathbf{v}(t + \Delta t/2) &= \mathbf{v}(t) + (\mathbf{f}/m)(\Delta t / 2)\\\mathbf{r}(t+\Delta t) &= \mathbf{r}(t) + \mathbf{v}(t+\Delta t/2) \Delta t\\\mathbf{v}(t + \Delta t) &= \mathbf{v}(t + \Delta t/2) +
(\mathbf{f}/m)(\Delta t / 2)\end{aligned}\end{align} \]
where r and v are the particle position and velocity, respectively, and
f is the external force acting on the particles of mass m. For a list of
forces that can be applied, see mpcd.force.
Classes