Is there any simple (or simplified) explanation for how stochastic simulation work? How those methods could provide the information about the underlying processes that almost impossible to be achieved with non-stochastic models? How stochastic (random) model could link with unknown property of the system?
For example, in the evaluation of mineral distribution in an area (2D or 3D) it is always recommended that to use simulations (specially conditional simulations) instead of estimations (such as kriging, idw etc) since the resulting maps based on simulations could preserve local variations where in almost all estimation methods the smoothing effect exists.
Now the above questions have some physical sense.