If state is integer n master equation discrete. One step processes Birth and death processes can be modeled as taking place one at a time. For all n . Boxed equation akin to detailed balance . We will later discuss detailed balance for microscopic processes.
Equation describes time evolution of probability distribution.
When states discrete Found exact steady state solution for one step processes with a natural boundary. Rates restricted if required that steady state agrees with equilibrium Boltzmann-Gibbs statistical physics. Mean agrees with rate equation result for large system. Click here for 2.